Use values of Ksp for AgI and Kf for Ag(CN)2− to calculate the molar solubility of AgI in pure water, calculate the equilibrium constant for the reaction Agl(s)+2CN−(aq)⥫⥬==Ag(CN)−2(aq)+I−(aq), determine the molar solubility of AgI in a 0.100 M NaCN solution.

Answers

Answer 1

Answer:

a) [tex]S_{AgI} = 9.11 \cdot 10^{-9} mol/L[/tex]

b) Keq = 8.3x10⁴

c) [tex] S_{[ AgI]} = 0.05 M [/tex]  

Explanation:

a) To find the molar solubility of AgI in water we need to use the solubility product constant (Ksp) of the following reaction:

AgI(s)  ⇄  Ag⁺(aq) + I⁻(aq)

[tex] K_{sp} = [Ag^{+}][I^{-}] = 8.3\cdot 10^{-17} [/tex]  

Since [Ag⁺] = [I⁻]:

[tex]K_{sp} = [Ag^{+}]^{2} \rightarrow S = \sqrt{K_{sp}} = \sqrt{8.3\cdot 10^{-17}} = 9.11 \cdot 10^{-9} mol/L[/tex]      

Hence, the molar solubility of AgI in water is 9.11x10⁻⁹ mol/L.

b) The equilibrium constant of AgI in CN, first we need to evaluate the reactions involved:

AgI(s)  ⇄  Ag⁺(aq) + I⁻(aq)   (1)

[tex] K_{sp} = [Ag^{+}][I^{-}] [/tex]   (2)

Ag⁺(aq) + 2CN⁻(aq)  ⇄  Ag(CN)₂⁻(aq)   (3)

[tex] K_{f} = \frac{[Ag(CN)_{2}^{-}]}{[Ag^{+}][CN^{-}]^{2}} [/tex]   (4)

The net equation is given by the sum of the reactions (1) and (3):

AgI(s) + 2CN⁻(aq)  ⇄  Ag(CN)₂⁻(aq) + I⁻(aq)    (5)

Hence, the equilibrium constant of the reaction (5) is:

[tex] K_{eq} = \frac{[Ag(CN)_{2}^{-}][I^{-}]}{[CN^{-}]^{2}} [/tex]   (6)

From equation (2):

[tex] [I^{-}] = \frac{K_{sp}}{[Ag^{+}]} [/tex]   (7)

By entering equations (7) and (4) into equation (6) we have:

[tex] K_{eq} = \frac{[Ag(CN)_{2}^{-}]}{[CN^{-}]^{2}}*\frac{K_{sp}}{[Ag^{+}]} [/tex]  

[tex] K_{eq} = K_{f}*K_{sp} = 1.0 \cdot 10^{21}*8.3\cdot 10^{-17} = 8.3 \cdot 10^{4} [/tex]                                      

Therefore, the equilibrium constant for the reaction (5) is 8.3x10⁴.  

c) From reaction (5):

AgI(s) + 2CN⁻(aq)  ⇄  Ag(CN)₂⁻(aq) + I⁻(aq)    

             0.1 - 2x                x                  x

[tex] K_{eq} = \frac{[Ag(CN)_{2}^{-}][I^{-}]}{[CN^{-}]^{2}} = \frac{x*x}{(0.1 - 2x)^{2}} [/tex]

[tex] x^{2} - 8.3 \cdot 10^{4}*(0.1 - 2x)^{2} = 0 [/tex]

Solving the above equation for x:

[tex] x = 0.05 mol/L = S_{[ AgI]} [/tex]

Hence, the molar solubility of AgI in a NaCN solution is 0.05 M.

I hope it helps you!

Answer 2
Final answer:

Molar solubility of AgI in pure water and in a NaCN solution can be calculated using the given values of Ksp and Kf through the described steps leading to the calculations of concentration of various ions required.

Explanation:

To determine the molar solubility of AgI in pure water, we need to use the solubility product constant (Ksp) for AgI. The Ksp expression for AgI is [Ag+][I-] ; when AgI dissolves, it separates into Ag+ and I- ions in a 1:1 ratio. If we represent the molar solubility as 's', then at equilibrium, the concentrations of Ag+ and I- are both 's'. So the Ksp is (s)(s)=s².

Next, for the reaction of AgI with CN-, we need to use the formation constant (Kf) for Ag(CN)2− ; this reaction can be written as Ag+ + 2CN- ⇌ Ag(CN)2-. If we denote the concentration of CN- as 'y', and we know the molar solubility of AgI is 's', then the equilibrium concentrations of Ag+ and CN- are s and y and the concentration of Ag(CN)2- is s. Therefore, the equilibrium constant for the given reaction is K=kf/Ksp which is equal to [s]/{[s][y]^2).

Finally, in a 0.100M NaCN solution, the CN- ion (from NaCN) reacts with Ag+ ion (from AgI) to form Ag(CN)2- complex, thereby decreasing the concentration of Ag+ ion which in turn increases the solubility of AgI. This increase in solubility of AgI can be calculated by the formula: Solubility=s+y=s+[NaCN]=[Ag(CN)2-].

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Related Questions

A galvanic (voltaic) cell consists of an electrode composed of nickel in a 1.0 M nickel(II) ion solution and another electrode composed of copper in a 1.0 M copper(I) ion solution, connected by a salt bridge. Calculate the standard potential for this cell at 25 °C .

Answers

Answer: The standard potential of the cell is 0.77 V

Explanation:

We know that:

[tex]E^o_{Ni^{2+}/Ni}=-0.25V\\E^o_{Cu^{+}/Cu}=0.52V[/tex]

The substance having highest positive [tex]E^o[/tex] reduction potential will always get reduced and will undergo reduction reaction.

The half reaction follows:

Oxidation half reaction: [tex]Ni(s)\rightarrow Ni^{2+}(aq)+2e^-[/tex]

Reduction half reaction: [tex]Cu^{+}(aq)+e^-\rightarrow Cu(s)[/tex]       ( × 2)

To calculate the [tex]E^o_{cell}[/tex] of the reaction, we use the equation:

[tex]E^o_{cell}=E^o_{cathode}-E^o_{anode}[/tex]

Substance getting oxidized always act as anode and the one getting reduced always act as cathode.

Putting values in above equation follows:

[tex]E^o_{cell}=0.52-(-0.25)=0.77V[/tex]

Hence, the standard potential of the cell is 0.77 V

Choose ALL correctanswer(s)
The rate law for the reaction 2NO(g) + Cl 2(g) → 2NOCl (g) is given by R=k[NO][Cl2]
If the following is the mechanism for the reaction,
NO(g) + Cl2(g) → NOCl2(g)
NOCl2(g) + NO(g)→ 2NOCl(g)
Which statements accurately describes this reaction? Check allthat apply
a) second order reaction.
b) The first step is the slow step.
c) Doubling [NO] would decrease the rate by a factor oftwo.
d) The molecularity of the first step is 1.
e) Both steps are termolecular.

Answers

Answer:

The correct answers  "a) second order reaction." and "b) The first step is the slow step."

Explanation:

Order of NO = 1

Order of Cl₂ = 1

Overall order = 1 + 1 = 2

∴ the order is a second order reaction

Mechanism of the given reaction:

NO(g) + Cl₂(g) → NOCl₂(g)  ....................... Slow Step

NOCl₂(g) + NO(g) → 2NOCl(g)  ................ Fast step

The first step is the determining step, which is the slow step

The incorrect statements are:

"c) Doubling [NO] would decrease the rate by a factor of two. "

        When the concentrations of [NO] is doubled, the rate of the reaction is increased by the factor of two.

"d) The molecularity of the first step is 1. "

        Since the overall reaction is 2, the molecularity of the first step is 2.

"e) Both steps are termolecular."

         No, because the first step is bimolecular step.

Final answer:

The rate law for the reaction is R=k[NO][Cl2]. The first step is the slow step and the molecularity of the first step is 2. Doubling [NO] would increase the rate by a factor of four.

Explanation:

The rate law for the reaction 2NO(g) + Cl2(g) → 2NOCl(g) is given by R=k[NO][Cl2]. According to the given mechanism for the reaction, the first step is the slow step. Therefore, option b) is correct. The molecularity of the first step is 2 because it involves the collision of two molecules (NO and Cl2). Therefore, option e) is incorrect. Doubling [NO] would increase the rate by a factor of four (2^2), not decrease it by a factor of two. Therefore, option c) is incorrect. Hence, the correct options are b) and d).

One of the first drugs to be approved for use in treatment of acquired immune deficiency syndrome (AIDS) was azidothymidine (AZT). How many carbon atoms are hybridized?

Answers

Answer:

To find the solution we must establish the electronic configuration of all the elements present:

H = 1s1

C = 1s2 2s2 2p2

N = 1s2 2s2 2p3

O = 1s2 2s2 2p4

You can see hydrogen has only one electron, carbon has 4, in nitrogen it is five and in oxygen it is 6.

Explanation:

Hybridization in an atom can be achieved by locating the steric number of said atom. The sum of these atoms and the number of solitary pairs that atom has has the name of steric number. For example:

If the steric number of an atom is 4, that atom has a sp3 hybridization.

If the steric number of an atom is 3, that atom has a sp2 hybridization.

If the steric number of an atom is 2, that atom has a sp hybridization.

Final answer:

The question about the number of carbon atoms in AZT that are hybridized cannot be answered without additional context or the molecular structure of the drug. AZT is a type of antiretroviral medication used to treat AIDS by inhibiting the HIV reverse transcriptase enzyme.

Explanation:

When discussing the drug azidothymidine (AZT), it's important to note that the question regarding the number of carbon atoms that are hybridized seems to be incomplete. Hybridization in chemistry pertains to the concept where atomic orbitals mix to form new hybrid orbitals that can form covalent chemical bonds in molecules. However, AZT, a medication known to treat AIDS, does not provide direct information about carbon atom hybridization without further context, such as its chemical structure or specific hybridization type questions (e.g., sp, sp2, sp3).

AZT is a type of antiretroviral medication and belongs to the class of nucleoside reverse transcriptase inhibitors (NRTIs). It functions by inhibiting the reverse transcriptase enzyme of HIV, impeding the virus's ability to replicate within the body. Although originally approved for use in treating AIDS several years ago, ongoing resistance has led to the development of additional antiretroviral drugs to manage the condition effectively.

It is critical to differentiate between the various types of hybridization when considering specific atoms in a molecule. Therefore, without additional context or the molecular structure of AZT, providing the exact number of hybridized carbon atoms is not possible, and that part of the question remains unanswerable.

When acetylene gas, C2H2, reacts with oxygen gas the products are carbon dioxide and water. a. What is the balanced equation? b. How many grams of water can be formed from the consumption of 8.98 grams of acetylene c. How many grams of water can be formed from the consumption of 4.58 grams of oxygen d. What is the theoretical yield of the reaction ?e. The reaction yielded 1.00g of water. What is the percent yield?

Answers

Answer:

a.

C₂H₂ (g) + 5/2 O₂ (g) ⇒   2CO₂ (g) +   H₂O (l)

b. 6.21 g H₂O

c. 1.08 g

d. 6.21 g H₂O

e. 16 %

Explanation:

This question involves a calculation based on the stoichiometry of the balanced chemical equation:

b.

Lets calculate the # moles C₂H₂ 8.98 g will represent and then calculate the amount of water produced as follows:

# moles C₂H₂  = mass/molar mass = 8.98 g / 26.04 g/mol = 0.34 mol

From the stoichiometry of the reaction:

1 mol H₂O produced / mol C₂H₂  x 0.34 mol C₂H₂  = 0.34 mol H₂O produced

g H₂O = # mol H₂O x molar mass H₂O = 0.34 mol x 18.01 g/mol = 6.21 g H₂O

c.

For 4.58 g O₂ we can calculate the amount of water in grams formed as follows:

# mol O₂ = mass / molar mass O₂ = 4.58 g / 32 g / mol = 0.14 mol

From the stoichiometry of the reaction we have

1 mol H₂O produced /2.5 mol O₂ x 0.14 mol O₂ = 0.06 mol H₂O

mass H₂O produced = 0.06 mol x molar mas H₂O = 0.06 mol x 18.01 g/mol

                                  = 1.08 g H₂O

d,e.

We  calculated in part b  that we should have produced 6.21 g H₂O, therefore the percent yield is =

1 g / 6.21  g x 100 g = 16 %

Note one could argue that this theoretical yield refers to the 4.58 grams O₂ in part c. However if that were the case we will have more than 100 % yield, unless we round the numbers to give us 100 % yield

Final answer:

To find the grams of water formed from acetylene or oxygen, we use stoichiometry, converting grams to moles and using the balanced equation to relate substances. The theoretical yield is the maximum product amount if all the limiting reactant is used, and the percent yield is actual over theoretical yield times 100%.

Explanation:

The balanced chemical equation for the combustion of acetylene (C2H2) with oxygen (O2) to produce carbon dioxide (CO2) and water (H2O) is:  2C2H2(g) + 5O2(g) ightarrow 4CO2(g) + 2H2O(l)

To calculate the gram of water formed from the consumption of acetylene or oxygen, we'll use stoichiometry. For instance, from 8.98 grams of acetylene, you first determine the molar mass of C2H2 (26.04 g/mol) and convert the mass of C2H2 to moles. Then, you use the balanced equation to find the mol-to-mol ratio between acetylene and water, leading you to the moles of water. Finally, convert moles of water to grams using the molar mass of water (18.015 g/mol).

For the case of 4.58 grams of oxygen, you would do a similar calculation. Determine the molar mass of O2 (32.00 g/mol), convert the mass of O2 to moles, and use the stoichiometric ratios from the balanced equation to find the moles and then grams of water produced.

The theoretical yield is the maximum amount of product that could be formed from the given amounts of reactants, assuming complete conversion and that all of the limiting reactant is consumed.

The percent yield is calculated as the actual yield divided by the theoretical yield, multiplied by 100%. Therefore, to find the percent yield given an actual yield of 1.00g of water, you would need to compare it to the theoretical yield previously calculated.

monatomic ion with a charge of +2 has an electronic configuration of 1s22s22p63s23p6. This ion is a(n) . What is the chemical symbol of the noble gas this ion is isoelectronic with? . What is the formula of the ion?

Answers

Final answer:

The monatomic ion with a charge of +2 and electronic configuration 1s22s22p63s23p6 is isoelectronic with the noble gas argon (Ar). The chemical symbol of the ion is Ca^2+.

Explanation:

The given electronic configuration is 1s22s22p63s23p6. This indicates that it has a total of 18 electrons, which is the same as the electronic configuration of the noble gas argon (Ar). Therefore, the monatomic ion is isoelectronic with argon.

The charge of the ion is +2, which means it has lost 2 electrons from its neutral state. Since it has 18 electrons, it must have had 20 electrons in its neutral state. The symbol of the ion can be determined by looking at the element that has an atomic number of 20, which is calcium (Ca). Therefore, the chemical symbol of the ion is Ca2+.

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The boiling points for a set of compounds in a homologous series can be qualitatively predicted using intermolecular force strengths. Using their condensed structural formulas, rank the homologous series for a set of alkanes by their boiling point.

Rank from highest to lowest boiling point. To rank items as equivalent, overlap them.
a)CH3CH2CH2CH3 b) CH3CH2CH2CH2CH2CH3
CH3
c) CH3CH2CCH2CH3
CH3

d)CH3CH2CH2CH2CH2CH2CH3

Answers

The given question is incomplete. The complete question is as follows.

The boiling points for a set of compounds in a homologous series can be qualitatively predicted using intermolecular force strengths. Using their condensed structural formulas, rank the homologous series for a set of alkanes by their boiling point.

Rank from highest to lowest boiling point. To rank items as equivalent, overlap them.

butane ([tex]C_{4}H_{10}[/tex]), 3,3-dimethylpentane ([tex]C_{7}H_{16}[/tex]), hexane ([tex]C_{6}H_{14}[/tex]), and heptane ([tex]C_{6}H_{16}[/tex]).

Explanation:

It is known that boiling point is the temperature at which vapor pressure of a liquid becomes equal to the atmospheric pressure. In hydrocarbons, more linearly the carbon atoms are attached to each other more will be the boiling point of the compound because of increase in surface area of the compound.

And, more is the branching present in a compound lesser will be its boiling point.

Also, more is the intermolecular strength present in a compound more will be its boiling point.

Thus, we can conclude that given compounds are ranked from highest to lowest boiling point as follows.

          heptane > hexane > 3,3-dimethyl pentane > butane

Suppose 6.87 g of sulfuric acid is mixed with 9.7 g of sodium hydroxide. Calculate the maximum mass of sodium sulfate that could be produced by the chemical reaction. Be sure your answer has the correct number of significant digits.

Answers

Answer:

9.96g of Na₂SO₄ is the maximum mass that could be produced

Explanation:

We must determine the reaction:

Reactants: H₂SO₄, NaOH

Products: H₂O, Na₂SO₄

The equation is:  H₂SO₄ (aq) + 2NaOH(aq) →  2H₂O (l) + Na₂SO₄(aq)

We have the mass of the reactants. We need to convert them to moles, in order to define the limiting reactant

6.87 g / 98 g/mol = 0.0701 moles of acid

9.7 g / 40 g/mol = 0.242 moles of base

Limiting reactant is the acid. Let's verify

2 moles of NaOH can react with 1 mol of acid

Therefore 0.242 moles of NaOH must react with (0.242 . 1) / 2 = 0.121 moles

We do not have enough acid.

Ratio with the salt is 1:1. 1 mol of acid produces 1 mol of salt

Therefore 0.0701 moles of acid will produce 0.0701 moles of salt

We convert the moles to mass → 0.0701 mol . 142.06 g / 1 mol = 9.96g

Consider the unbalanced equation for the combustion of hexane: C6H14 (g) O2 (g) --> CO2 (g) H2O (g) Balance the equation and determine how many moles of O2 are required to react completely with 7.2 moles of C6H14.

Answers

The balanced equation is

2 C6H14 (g) + 19 O2 (g) --> 12 CO2 (g) + 14 H2O (g)

Explanation:

For solving the stoichiometric calculations, we first need to do two steps. One of them is balancing the reaction equation. Here the balancing is done and we can see that 2 moles of hexane reacts with 19 moles of oxygen to produce 12 moles of carbon dioxide and 14 moles of water.

Now, for 2 moles of hexane, number of moles of oxygen required is 19.

So, for 7.2 moles of hexane, number of moles of oxygen required is[tex]\frac {19}{2}\times 7.2[/tex].

= 68.4.

So 68.4 moles of oxygen is required.

68.4 moles of oxygen is required.

Balanced chemical equation:

2 C₆H₁₄ (g) + 19 O₂ (g) ------> 12 CO₂ (g) + 14 H₂O (g)

Mole-ratio concept:

2 moles of hexane reacts with 19 moles of oxygen to produce 12 moles of carbon dioxide and 14 moles of water.

Now, for 2 moles of hexane, number of moles of oxygen required is 19.

So, for 7.2 moles of hexane, number of moles of oxygen required = 68.4.

So, 68.4 moles of oxygen is required.

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A procedure calls for the bromination of 12 mmol of trans‑cinnamic acid with 12 mmol of Br 2 in glacial acetic acid solvent. Select the likely consequence of accidentally using 6 mmol of Br 2 instead. The yield of dibromide product will be approximately one‑half of the expected yield. The yield of dibromide will not change because 2 mol of Br 2 react with 1 mol of trans‑cinnamic acid. The yield will not change because acetic acid is the limiting reactant. The yield of dibromide product will not change, as the equilibrium strongly favors the product.

Answers

Answer: The yield of dibromide product will be approximately one‑half of the expected yield.

Explanation:

Final answer:

Using half the required amount of Br2 in the bromination of trans-cinnamic acid would likely result in approximately half the yield of the expected dibromide product due to Br2 being the limiting reactant.

Explanation:

The likely consequence of using 6 mmol of Br2 instead of the required 12 mmol in the bromination of trans-cinnamic acid is that the yield of the dibromide product will be approximately one-half of the expected yield. This is because the amount of Br2 would become the limiting reactant in this reaction, as not enough bromine is present to fully react with the 12 mmol of trans-cinnamic acid. In stoichiometric reactions, the yield is directly proportional to the amount of the limiting reagent. Therefore, if half the required amount of a reagent is used, it is logical to expect around half the yield, assuming that the reaction goes to completion under the given conditions.

The rate law for the decomposition of ozone to molecular oxygen is rate = k[O3]2 [O2] The mechanism proposed for this process is O3 0001 O + O2 O + O3 2O2 What is the rate law in terms of k1, k2, and k−1? Be sure to simplify the rate law before inputting your answer.

Answers

Answer:

The rate law is k = [tex]k\frac{[O3]^{2} }{[O2]}\\[/tex]

Explanation:

From the mechanism is necessary to derive the rate law from the elementary steps and explain the effects of [O2] on the rate

The first step is a reversible reaction. Assuming dynamic equilibrium is achieved, the rate of the forward reaction is equal to the rate of the backward reaction

rate(forward) = rate(backward)

k1 [O3] = k-1 [O] [O2]

[O] is not part of the rate law, so we need to express [O] in terms of other species

[O] = [tex]\frac{k1 [O3]}{k-1[O2]}[/tex]

from the second step

rate = k2[O] [O3]

substituting [O] from the first step

rate = [tex]k2 \frac{k1 [O3] [O3]}{k-1[O2]} = \frac{k2k1 [O3]^{2} }{k-1[O2]}\\[/tex]

k = [tex]\frac{k2k1}{k-1}\\[/tex]

The final rate law is then

k = [tex]k\frac{[O3]^{2} }{[O2]}\\[/tex]

So, as the concentration os O2 increase the rate decrease. Also from the first step of the mechanism we can se that O2 can react to O to form back the reactant O3 resulting in decreased reaction rate.

Final answer:

The rate law for the decomposition of ozone in terms of the constants k1, k2, and k−1 is rate = k1k2[O3]^2 / (k−1 + k2[O3]). This is derived using the proposed two-step mechanism and making an assumption that the backward reaction is much slower than the forward reaction.

Explanation:

The proposed mechanism for the decomposition of ozone to molecular oxygen involves two elementary steps:

O3 O + O2 (rate constant k1)

O + O3 2O2 (rate constant k2)

There is also a reverse reaction to step 1 that should be considered, where O and O2 combine to reform O3 (rate constant k⁻1). According to the steady-state approximation, the concentration of intermediate species O remains constant because it is produced and consumed at the same rate. Therefore, the rate of its formation in step 1 is equal to its rate of consumption in step 2 and any reverse reaction.

The rate law for the given mechanism can be expressed as:

rate = k2[O][O3]

However, [O] is not directly measurable, so we need to link it to other reactants. We can express [O] from the equilibrium of step 1, assuming that the backward reaction is much slower than the forward reaction:

[O] = k1[O3] / (k⁻1 + k2[O3])

Then by substituting [O] back into the rate law:

rate = k2(k1[O3] / (k⁻1 + k2[O3]))[O3]

This simplifies to:

rate = k1k2[O3]^2 / (k⁻1 + k2[O3])

This rate law now relates the overall rate to the experimental rate constants k1, k2, and k⁻1.

A glucose solution is administered intravenously into the bloodstream at a constant rate r. As the glucose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at that time. Thus a model for the concentration C = C(t) of the glucose solution in the bloodstream is dC dt = r − k C where k is a positive constant. (a) Suppose that the concentration at time t = 0 is C0. Determine the concentration at any time t by solving the differential equation. C(t)

Answers

Answer:

[tex]C(t)=\frac{r}{k}-(\frac{r-kC_o}{k})e^{-kt}[/tex]

Explanation:

The differential equation is given as:

[tex]\frac{dC}{dt} = r- kC[/tex]

[tex]\frac{dC}{r- kC} = dt[/tex]

Taking integral of both sides; we have:

[tex]\int\limits \frac{dC}{r- kC} = \int\limits dt[/tex]

[tex]-\frac{1}{k} In(r-kC) = t+D\\In(r-kC)=-kt-kD[/tex]

[tex]r-kC=e^{-kt-kD}[/tex]

[tex]r-kC=e^{-kt}e^{-kD}[/tex]

[tex]r-kC=Ae^{-kt}[/tex]

[tex]kC=r-Ae^{-kt}[/tex]

[tex]C=\frac{r}{k}-\frac{A}{k}e^{-kt}[/tex]

[tex]C(t)=\frac{r}{k}-\frac{A}{k}e^{-kt}[/tex]     ------- equation (1)

If C(0)= [tex]C_o[/tex] ; we have:

C(0)= [tex]\frac{r}{k}-\frac{A}{k}e^0[/tex]         (where; A is an integration constant)

[tex]C_o = \frac{r}{k}- \frac{A}{k}[/tex]

[tex]C_o=\frac{r-A}{k}[/tex]

[tex]kC_o=r-A[/tex]

[tex]A=r-kC_o[/tex]

Substituting [tex]A=r-kC_o[/tex] into equation (1); we have;

[tex]C(t)=\frac{r}{k}-(\frac{r-kC_o}{k})e^{-kt}[/tex]

The titration of 0.02500 L of a diprotic acid solution with 0.1000 M NaOH requires 34.72 mL of titrant to reach the second equivalence point. The pH is 3.95 at the first equivalence point and 9.27 at the second equivalence point. If the add solution contained 0.2015 g of the acid, what is the molar mass, pK_a1, and pK_a2 of the acid?

Answers

Answer:

molar mass (of the diprotic acid) = 116g/mol

[tex]pK_{a_1}= 1.83[/tex]

[tex]pK_{a_2}=6.07[/tex]

Explanation:

The number of moles of [tex]NaOH[/tex] and [tex]H^+[/tex] are equal at the equivalence point since they are both taking part in the diprotic acid.

0.1 M means 0.1 moles in 1L or 0.1 moles in 1000 mL

Number of moles of 0.1 M NaOH at final equivalence point ;

=  [tex]34.72 mL * \frac{0.1mole}{1000mL}[/tex]

= 0.00347 moles of NaOH

However, the number of moles of the diprotic acid in the 0.25 L solution is = [tex]\frac {0.00347}{2 }[/tex]      (due to the fact that half of the concentration of NaOH is needed to give the same amount of  [tex]H^+[/tex]

[tex]= 0.001736[/tex]  

Given that:

The  Total acid in the solution = 0.2015 g; to calculate the molar mass ; we have :

no of moles = [tex]\frac{mass}{molar mass}[/tex]

molar mass= [tex]\frac{mass}{numbers of moles}[/tex]

molar mass = [tex]\frac{0.2015}{0.001736}[/tex]

molar mass (of the diprotic acid) = 116g/mol

At the second equivalence point;

The pH = 9.27

pH = [tex]-log[H^+][/tex]

[tex][H^+]= 10^{-pH}[/tex]

[tex][H^+] = 10^{-9.27[/tex]

[tex][H+] = 5.37 * 10^{-10[/tex]

[tex][OH^-][/tex] can be calculated as follows:

[tex]\frac{10^{-14}}{[H^+]} = \frac {10^{-14}}{5.37* 10^{-10}}[/tex]

[tex][OH^-][/tex] = [tex]1.86*10^{-5}[/tex]

Let represent the equation from the reaction after the second equivalence point with:

[tex]X^{2-} + H_2O \rightleftharpoons HX^- + OH^-[/tex]

where:

[tex]X^{2-}[/tex] =  [tex]\frac{0.001736}{(25 + 34.72)} * 1000[/tex]

[tex]X^{2-}[/tex] =  [tex]0.029 M[/tex]

 The ICE Table is shown as follows;

                      [tex]X^{2-}[/tex]    [tex]+[/tex]    [tex]H_2O[/tex]       [tex]\rightleftharpoons[/tex]      [tex]HX^-[/tex]     [tex]+[/tex]        [tex]OH^-[/tex]

Initial            0.029                                  0                     0

Change        -x                                         +x                   +x  

Equilibrium  (0.029 - x)                            x                     x

[tex]Kb = \frac{[HX^-][OH^-]}{[X^{2-}]}[/tex]

[tex]Kb = \frac{x^2}{0.029-x}[/tex]

[tex]k_b}= \frac{(1.86*10^{-5})^2}{0.029-(1.86*10^{-5})}[/tex]

[tex]x = 1.191*10^{-8}[/tex]

[tex]K_a} = \frac {10^{-14}}{K_b}[/tex]

[tex]K_a} = \frac {10^{-14}}{1.191*10^{-8}}[/tex]

[tex]K_a} = 8.39 * 10^{-7}[/tex]

[tex]pK_a} = -log K_a[/tex]

[tex]pK_a} = -log (8.39*10^{-7})[/tex]

[tex]pK_{a_2}=6.07[/tex]

At the first equivalence point we have all H2X getting converted to  [tex]HX^-[/tex]  [tex]HX^-[/tex] is an amphoteric species which implies that it can serve as both an acid and a base

As such, in this process:

[tex]pH = pK_{a_1} + \frac{pKa_2}{2}[/tex]

Given that: the pH = 3.95

Then;

[tex]3.95 = pK_{a_1} + \frac{6.07}{2}[/tex]

[tex]3.95*2 = pK_{a_1} +{6.07}[/tex]

[tex]7.9 = pK_{a_1} +{6.07}[/tex]

[tex]pK_{a_1}= 7.9 - {6.07}[/tex]

[tex]pK_{a_1}= 1.83[/tex]

Answer:

gfhgfhhgjffhfhgfhgfhfgfhfg

Explanation:

Consider the following three processes: (1) Melting of ice at room temperature (2) Boiling of water at 101°C (3) Dissolving of NH4NO3 with water in an instant cold pack? Which statement(s) that are true about ALL three of the given processes? (Choose one or more)(A) Endothermic(B) Exothermic(C) Nonspontaneous(D) Spontaneous(E) none of these statements can be used to describe all three processes

Answers

Answer: Option (A) is the correct answer.

Explanation:

Exothermic reaction is defined as the reaction in which release of heat takes place. Whereas endothermic reaction is defined as the reaction in which heat is absorbed by the reactant molecules.

When ice melts at room temperature it is an endothermic reaction as it occurs due to absorption of heat. Boiling of water at [tex]101^{o}C[/tex] is also an endothermic process. This is because heat is absorbed by water molecules due to which their state changes from liquid to vapor form. When [tex]NH_{4}NO_{3}[/tex] is dissolved in water then heat is absorbed as there occurs a decrease in temperature of water. Hence, it is also an endothermic reaction.

Thus, we can conclude that for the given statements its is true that ALL three of the given processes are endothermic.

All of the following processes lead to an increase in entropy EXCEPT A) increasing the temperature of a gas. B) melting a solid. C) chemical reactions that increase the number of moles of gas. D) forming mixtures from pure substances. E) decreasing the volume of a gas.

Answers

Answer: D) forming mixtures from pure substances.

Explanation

Entropy is the measure of randomness or disorder of a system. If a system moves from  an ordered arrangement to a disordered arrangement, the entropy is said to decrease and vice versa.

a) Increase in temperature of a gas: As increasing the temperature , increases the kinetic energy of molecules , the molecules move faster and thus entropy increases.

b) Melting a solid : The randomness will increase as liquids move freely as compared to solids and hence entropy will also increase.

c) chemical reactions that increase the number of moles of gas: As more gaseous molecules will be formed, more will be the randomness and hence entropy increases.

d) forming mixtures from pure substances: As substances in a mixture do not react chemically and thus the molecules remain same and entropy remain same.

e) decreasing the volume of a gas: According to Boyle's law, decreasing the volume will increase the pressure and thus entropy will increase.

Final answer:

The process that does not lead to an increase in entropy is decreasing the volume of a gas as it compact the molecules into a smaller space, reducing disorder.

Explanation:

The question revolves around identifying which process does not lead to an increase in entropy. Entropy is a measure of the disorder or randomness in a system. Several processes can increase entropy, such as:

Increasing the temperature of a gas, which increases the kinetic energy and disorder of the gas molecules.

The process of melting a solid, where the ordered solid structure becomes a more disorderly liquid.

Chemical reactions that increase the number of gas molecules, as a greater number of particles usually means greater disorder.

Forming mixtures from pure substances, whereby the uniform structure becomes more randomly arranged upon mixing.

However, the one process that does not increase entropy is decreasing the volume of gas. Decreasing the volume of a gas reduces its entropy because it compacts the gas molecules into a smaller space, potentially giving the system less disorder.

Therefore, the correct answer is E) decreasing the volume of a gas.

Consider the three isomeric alkanes n-hexane, 2, 3-dimethylbutane, anu 2-llylp following correctly lists these compounds in order of increasing boiling point? Circle correct Answer.
A) 2, 3-dimethylbutane < 2-methylpentane < n-hexane
B) 2-methylpentane C) 2-methylpentane < 2, 3-dimethylbutane < n-hexane
D) n-hexane<2-methylpentane <2, 3-dimethylbutane
E) n-hexane <2, 3-dimethylbutane<2-methylpentane

Answers

Answer:

D) n-hexane<2-methylpentane <2, 3-dimethylbutane

Explanation:

structures with less branching have  high boiling point and low melting points this is because of freezing depression and boiling depression and stronger bonds.

The net ionic equation, H3PO4 (aq) + 3 OH− (aq) Imported Asset PO4−3 (aq) + 3 H2O (l), best represents which type of acid-base reaction?

strong acid-strong base

weak acid-strong base

strong acid-weak base

weak acid-weak base

Answers

Answer:

Weak acid - strong base

Explanation:

H₃PO₄ → Phosphoric acid.

This is a weak that has three dissociations in order to give hydronium to the medium and to produce the phosphate anion. The equations are:

H₃PO₄  + H₂O  ⇄  H₃O⁺  +  H₂PO₄⁻               Ka1

H₂PO₄⁻  + H₂O  ⇄  H₃O⁺ +  HPO₄⁻²               Ka2

HPO₄⁻²  + H₂O  ⇄  H₃O⁺  +  PO₄⁻₃             Ka3

As the H₃PO₄ is a weak acid then the water behaves as a strong base.

If we follow the Brownsted Lory idea, water becomes a strong base cause it receives the H⁺ from water, then the H₃O⁺ becomes the conjugate weak acid.

Anions from the H₃PO₄,  diacid phosphate and monoacid phosphate assume the rol of the conjugate strong base, they all recieve proton but this is a special case, because both anions can recieve all release the proton. That's why, they also are amphoteric

g In Part 7, the [Cl-] in saturated NaCl is 5.4 M at room temperature. Assume that you had 1.00 ml of the saturatedsolution, and that you added 0.50 ml of 12 M HCl. What is the [Cl-] after you added the HCl. (When two solutionscontain the same component, the numerator consists of the sum of the volume times the concentration for each solu-tion. The denominator is the total volume.

Answers

Answer:

7.60 M

Explanation:

Our method to solve this question is to  use the definition of molarity (M) concentration which is the number of moles per liter of solution, so for this problem we have

[Cl⁻] = # mol Cl⁻ / Vol

Now the number of moles of Cl⁻ will be sum of Cl in the 1.00 mL 5.4 M solution plus the moles of Cl⁻ in the 0.50 mL 12 M H . Since the volume in liters times the molarity gives us the number of moles we will have previous conversion of volume to liters for units consistency:

1mL x 1 L / 1000 mL = 0.001 L

0.5 mL x 1L/1000 mL = 0.0005 L

[Cl⁻]  =  0.001 L x 5.4 mol/L + 0.0005L x 12 mol/L / ( 0.001 L + 00005 L )

= 7.6 M

This is the same as the statement given in the question.

Suppose you need to make the following two precipitates (by two different precipitation reactions): MgCO3 and Ca3(PO4)2. For each reaction, choose the reactants from the drop-down box in such a way that the precipitate you need to make is the only product that forms?

Answers

Answer:

For the first reaction the reagents are: MgCl2 and Na2CO3

For the second reaction the reagents are: Na2HPO4 and CaCl2

Explanation:

Precipitation reactions lie in the production of a compound that is not soluble, which is called a precipitate, this precipitate is produced when two different solutions are combined, each of which will contribute an ion for the formation of the precipitate. In the first reaction you have:

MgCl2 + Na2CO3 = MgCO3 + 2 NaCl

Type of reaction: double displacement

The second reaction is as follows:

4Na2HPO4 + 3CaCl2 → Ca3 (PO4) 2 + 2NaH2PO4 + 6NaCl

It is the reaction of sodium hydrochlorophosphate and calcium chloride

The reaction 2PH3(g)+As2(g)⇌2AsH3(g)+P2(g) has Kp=2.9×10−5 at 873 K. At the same temperature, what is Kp for each of the following reactions?Parts A, B, and CPart A:2AsH3(g)+P2(g)⇌2PH3(g)+As2(g)Part B:6PH3(g)+3As2(g)⇌3P2(g)+6AsH3(g)Part C:2P2(g)+4AsH3(g)⇌2As2(g)+4PH3(g)

Answers

Answer:

kudos to this man hope he is right if not sorry for taking the slot

Explanation:

Final answer:

Kp for the reactions at 873 K can be found by using the reciprocal, multiplication, or division based on the stoichiometry changes from the original reaction. For Part A, Kp is 3.45×10⁴; for Part B, it is 2.43×10⁻; and for Part C, it is 8.41×10⁻.

Explanation:

To find the value of Kp for the given reactions at 873 K, we use the reciprocal, multiplication, or division of the original reaction's Kp value depending on the stoichiometry of each reaction.

Part A

For the reaction 2AsH3(g)+P2(g)⇌2PH3(g)+As2(g), which is the reverse of the given reaction, the equilibrium constant Kp is the reciprocal of the original reaction's Kp. So, Kp for this reaction is 1 / (2.9×10⁻⁵) = 3.45×10⁴.

Part B

For the reaction 6PH3(g)+3As2(g)⇌3P2(g)+6AsH3(g), which is the original reaction multiplied by 3, the equilibrium constant Kp is the original Kp raised to the power of 3. Therefore, Kp is (2.9×10⁻⁵)³ = 2.43×10⁻.

Part C

For the reaction 2P2(g)+4AsH3(g)⇌2As2(g)+4PH3(g), which is the original reaction multiplied by 2, the equilibrium constant Kp is the original Kp squared. Thus, Kp for Part C is (2.9×10⁻⁵)² = 8.41×10⁻.

Select True or False: A "gas" is a substance in which the molecules are separated on the average by distances that are large compared with the sizes of the molecules.

Answers

Answer:

True

Explanation:

The gaseous state is characterized in that the cohesion forces are usually null, in which the particles have their maximum mobility. The particles tend to occupy all the available volume, so their shape and volume are variable. The gaseous state is a dispersed state of matter, which means that the molecules are separated by distances much larger than the diameter of the gas molecules.

Final answer:

True, a gas is a substance where the molecules are relatively far apart compared to their size. Gases can diffuse until they evenly fill their container, unlike solids and liquids. For example, oxygen we breathe spreads throughout a room.

Explanation:

True, a gas is a substance in which the molecules are separated on the average by distances that are large compared with the sizes of the molecules. This is because gases have the capability to diffuse and spread out until they evenly fill their container. This differentiates them from solids and liquids, where the intermolecular distances are much smaller. For instance, the oxygen we breathe spreads throughout a room, as opposed to settling in one place.

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Glyceraldehyde is an example of a(n) aldose, because it has three carbon atoms. 2. With the carbonyl group on the end of a six-carbon chain, the carbohydrate would be classified as a(n) aldohexose. 3. Any carbohydrate with the carbonyl group on the second carbon is a(n) ketose. 4. A monosaccharide is a(n) aldotriose if the carbonyl group is on the end of the carbon chain. 5. The most common carbohydrate, glucose, has six carbon atoms. 6. If a carbohydrate, like xylulose, has five carbon atoms and a carbonyl group on the second carbon, it is called a(n) ketopentose.

Answers

Question: complete the following sentences: aldohexose, triose,aldose, ketopentose, glucose, ketose.

1) Glyceraldehyde is an example of a(n)____ because it has three carbon atoms.2) With the carbonyl group on the end of a six-month carbon chain, the carbohydrate would be classified as a( n)__3)Any carbohydrate with the carbonyl group on the second carbon is a(n)___4) A monosaccharide is a(n)___ if the carbonyl group is on the end of the carbon chain. 5)The most common carbohydrate ___ has six atoms. 6) If a carbohydrate, like xylulose, has five carbon atoms and a carbonyl group on the second carbon, it is called a(n)_____.

Answer:

1) triose

2) aldohexose

3) ketose

4) aldose

5) glucose

6) ketopentose

Explanation:

Carbohydrate is one of the major classes of food which is divided into monosaccharide, disaccharide and polysaccharide. Monosaccharide is the simplest form of carbohydrates which is further divided into:

- glucose( the most common carbohydrate)

- fructose and

- galactose.

These monosaccharides can be further grouped according to the number of carbon atoms they possess and according to the functional group attached to its linear or unbranched carbon skeleton.

-TRIOSE: These are monosaccharides that has three carbon atoms example is Glyceraldehyde.

-ALDOHEXOSE: These are monosaccharides with the carbonyl group on the end of a six carbon chain.

- KETOSE: These are monosaccharides with the carbonyl group on the second carbon.

- ALDOSE: This is a monosaccharide in which the carbonyl group is on the end of the carbon chain.

-KETOPENTOSE: These are monosaccharides that has five carbon atoms and a carbonyl group on the second carbon. An example is xylulose.

Final answer:

This question is about the classification of carbohydrates based on the position of the carbonyl group.

Explanation:

1. Glyceraldehyde is an example of an aldose because it contains an aldehyde functional group and it has three carbon atoms.
2. With the carbonyl group on the end of a six-carbon chain, the carbohydrate would be classified as an aldohexose.
3. Any carbohydrate with the carbonyl group on the second carbon is classified as a ketose.
4. A monosaccharide is categorized as an aldotriose if the carbonyl group is on the end of the carbon chain.
5. The most common carbohydrate, glucose, has six carbon atoms and is an example of an aldohexose.
6. Xylulose is a ketopentose because it has five carbon atoms and a carbonyl group on the second carbon.

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To analyze the experiment used to determine the properties of an electron. In 1909, Robert Millikan performed an experiment involving tiny, charged drops of oil. The drops were charged because they had picked up extra electrons. Millikan was able to measure the charge on each drop in coulombs. Here is an example of what his data may have looked like. Based on the given data, how many extra electrons did drop C contain? Express your answer as an integer.

Answers

The question is incomplete, here is the complete question:

To analyze the experiment used to determine the properties of an electron. In 1909, Robert Millikan performed an experiment involving tiny, charged drops of oil. The drops were charged because they had picked up extra electrons. Millikan was able to measure the charge on each drop in coulombs. Here is an example of what his data may have looked like.

 Drop        Charge (C)

 A             -3.20 × 10⁻¹⁹

 B             -4.80 × 10⁻¹⁹

 C             -8.00 × 10⁻¹⁹

 D             -9.60 × 10⁻¹⁹

Based on the given data, how many extra electrons did drop C contain? Express your answer as an integer.

Answer: The extra electrons that the drop C contain are 5

Explanation:

Millikan’s oil drop experiment is used to measure the charge of an electron. Before this experiment, the subatomic particles were not accepted.

He found that all the oil drops had charges that were the multiples of [tex]-1.6\times 10^{-19}C[/tex]. This value is the charge on 1 electron

Number of electrons excess electrons is calculated by using the formula:

[tex]\text{Excess electrons}=\frac{\text{Charge on millikan's oil drop}}{\text{Charge on 1 electron}}[/tex]

For Drop C:

Charge on drop C = [tex]-8.00\times 10^{-19}C[/tex]

[tex]\text{Excess electrons}=\frac{-8.00\times 10^{-19}}{-1.6\times 10^{-19}}=5[/tex]

Hence, the extra electrons that the drop C contain are 5

Provide a structure for the compound with molecular formula C9H12 and with the following spectroscopic data.1H NMR: 1.2δ (doublet, I=6H), 3.0δ (septet, I=1H), 7.1δ (multiplet, I=5H)

Answers

Answer:

The structure analysis says the compound must be Cumene or isopropylbenzene

Explanation:

Degree of unsaturation or double bond equivalent

         D.B.E     =      [tex]C-\frac{H}{2}+\frac{N}{2}+1[/tex]

                       =       [tex]9-\frac{12}{2}+\frac{0}{2}+1[/tex]

                       =       4

¹H NMR data analysis

  (i)  1.2δ (doublet, I = 6H)   two CH₃ are equivalents and the multiplicity says the neighboring carbon have one hydrogen.

 (ii)  3.0δ (septet, I = 1H), one CH and the multiplicity says the neighboring carbon  have six hydrogens.

 (iii)  7.1δ (multiplet, I = 5H) , means

and the sturcture of the compound is

                   

Final answer:

Based on the 1H NMR spectroscopic data, the structure of the compound with the molecular formula C9H12 is determined to likely be ethylbenzene, featuring an aromatic ring with an attached ethyl group.

Explanation:

The question involves determining the structure of a compound with a molecular formula of C9H12 based on its 1H NMR spectroscopic data. The data provided are 1.2δ (doublet, I=6H), 3.0δ (septet, I=1H), and 7.1δ (multiplet, I=5H). To solve this, we analyze each piece of information. The doublet at 1.2δ with 6 hydrogens suggests the presence of two identical methyl groups (CH3) next to a carbon that splits their signal into a doublet. The septet at 3.0δ indicates a methine group (CH) that is adjacent to six hydrogens, likely from two methyl groups, causing this splitting pattern. Finally, the multiplet at 7.1δ for 5 hydrogens indicates the presence of an aromatic ring. Taking all this into account, a plausible structure for this compound is ethylbenzene, which consists of a benzene ring with an ethyl group attached to it.

LeFinal answer:

Based on the 1H NMR spectroscopic data, the structure of the compound with the molecular formula C9H12 is determined to likely be ethylbenzene, featuring an aromatic ring with an attached ethyl group.



Explanation:

The question involves determining the structure of a compound with a molecular formula of C9H12 based on its 1H NMR spectroscopic data. The data provided are 1.2δ (doublet, I=6H), 3.0δ (septet, I=1H), and 7.1δ (multiplet, I=5H). To solve this, we analyze each piece of information. The doublet at 1.2δ with 6 hydrogens suggests the presence of two identical methyl groups (CH3) next to a carbon that splits their signal into a doublet. The septet at 3.0δ indicates a methine group (CH) that is adjacent to six hydrogens, likely from two methyl groups, causing this splitting pattern. Finally, the multiplet at 7.1δ for 5 hydrogens indicates the presence of an aromatic ring. Taking all this into account, a plausible structure for this compound is ethylbenzene, which consists of a benzene ring with an ethyl group attached to it.

2.0 L of gas A at 1.0 atm and 1.0 L of gas B at 1.0 atm are combined in a 3.0 L flask. The flask is sealed and over time they react completely to give gas C according to the following chemical equation: 2A(g) + B(g) →C(g) Assuming the temperature stays constant, what will be the pressure after the reaction goes to completion?

Answers

Final answer:

The final pressure in the flask, after the reaction of gases A and B to produce gas C, remains 2.0 atm, according to the principles of Ideal Gas Law.

Explanation:

This question is about calculating the final pressure in a sealed flask after a chemical reaction, using ideal gas law concepts. In the initial state, the total pressure in the flask is the sum of the pressures of gas A and gas B, that is 1.0 atm (from 2.0 L of gas A) plus 1.0 atm (from 1.0 L of gas B), total 2.0 atm. It's important to notice that in the reaction 2 moles of gas A react with 1 mole of gas B to produce 1 mole of gas C. In other words, for every 2 volumes of gas A and 1 volume of gas B react to form 1 volume of gas C. So the total volume keeps constant after the reaction. As we know in Ideal Gas Law, if the temperature and volume are constant, the total pressure is also constant. Thus, the total pressure after completion of the reaction remains 2.0 atm.

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The temperature on a distant, undiscovered planet is expressed in degrees B. For example, water boils at 180 ∘ B and freezes at 50 ∘ B . If it is 31 ∘ C on Earth, what would that temperature be in terms of degrees B?

Answers

Final answer:

To convert a temperature of 31 degrees Celsius to the equivalent temperature in degrees B on the undiscovered planet, we must use the given ratios of temperature differences, resulting in a converted temperature of 90.3 degrees B.

Explanation:

The temperature range for water between freezing and boiling on this undiscovered planet expressed in degrees B is 130 (180-50). The same range on Earth in degrees Celsius is 100 (100-0). First, we need to find the ratio of these two scales. The ratio is 130/100 = 1.3.

Next, to convert the Earth temperature from Celsius (31 °C) to degrees B, we multiply by the ratio and add the freezing point in degrees B. This gives us: (31 * 1.3) + 50 = 90.3 °B. So, 31 °C on Earth would be 90.3 °B on this undiscovered planet.

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1. The radioactive source you will be working with in this lab is Cs-137. Look up the half-life of this material and report the value in units of seconds. 2. The relationship between decay constant (l) and half-life is:

Answers

The question is incomplete, here is the complete question:

1. The radioactive source you will be working with in this lab is Cs-137. Look up the half-life of this material and report the value in units of seconds.

2. The relationship between decay constant (l) and half-life is:

[tex]t_{1/2}=\frac{\ln 2}{k}[/tex]

For Cs-137, what is the value of 'k' in [tex]s^{-1}[/tex]

Answer:

For 1: The half life for Cs-137 isotope is [tex]9.51\times 10^8s[/tex]

For 2: The rate constant of Cs-137 isotope is [tex]7.29\times 10^{-10}s^{-1}[/tex]

Explanation:

For 1:

Half life is defined as the time taken for half of the reaction to complete. This is also defined as the time in which the concentration of a reactant is reduced to half of its original value.

The half life for Cs-137 isotope is [tex]9.51\times 10^8s[/tex]

For 2:

The relationship between decay constant (l) and half-life is: given by the equation:

[tex]t_{1/2}=\frac{\ln 2}{k}[/tex]

where,

[tex]t_{1/2}[/tex] = half life of Cs-137 isotope = [tex]9.51\times 10^8s[/tex]

k = rate constant

Putting values in above equation, we get:

[tex]9.51\times 10^8s=\frac{\ln 2}{k}\\\\k=\frac{\ln 2}{9.51\times 10^8}=7.29\times 10^{-10}s^{-1}[/tex]

Hence, the rate constant of Cs-137 isotope is [tex]7.29\times 10^{-10}s^{-1}[/tex]

A 3.90 g sample of Cl2 reacts with PCl3 to form 11.45 g of PCl5 according to the reaction below. How much PCl3 is needed? [Hint: You do not need to calculate moles to answer.]


PCl3 + Cl2 —> PCl5 Amount of PCl3:


Show work here

Answers

Answer:

We need 7.55 grams of PCl3

Explanation:

Step 1: Data given

Mass of Cl2 = 3.90 grams

Mass of PCl5 = 11.45 grams

Molar mass Cl2 = 70.9 g/mol

Molar mass PCl5 = 208.24 g/mol

Step 2: The balanced equation

PCl3 + Cl2 → PCl5

Step 3: calculate moles

Moles = mass / molar mass

Moles Cl2 = 3.90 grams / 70.9 g/mol

Moles Cl2 = 0.0550 moles

Moles PCl5 = 11.45 grams /208.24 g/mol

Moles PCl5 = 0.0550 moles

Step 4: Calculate moles PCl3

For 1 mol PCl3 we need 1 mol Cl2 to produce 1 mol PCl5

For 0.0550 moles PCl5 we will need 0.0550 moles Cl2 and 0.0550 moles PCl3

Step 5: Calculate mass PCl3

Mass PCl3 = moles * molar mass

Mass PCl3 = 0.0550 moles * 137.33 g/mol

Mass PCl3 = 7.55 grams

Without calculating the number of moles:

Mass of Cl2 + mass PCl3 = mass PCl5

Mass PCl3 = 11.45 - 3.90 = 7.55 grams

We need 7.55 grams of PCl3

Final answer:

To find the mass of PCl3 needed for the reaction, use the mass difference between the product PCl5 and the reactant Cl2, resulting in 7.55 g of PCl3.

Explanation:

The question involves a stoichiometry calculation to determine the amount of phosphorus trichloride (PCl₃) required to react with chlorine gas (Cl₂) to produce phosporus pentachloride (PCl₅). If 3.90 g of Cl₂ reacts to form 11.45 g of PCl₅, we can use the principle of conservation of mass to find the mass of PCl₃ that reacted. According to the reaction PCl₃ + Cl₂
PCl₅, for every mole of PCl₅ produced, one mole of PCl₃ is consumed.

In this problem, since we start with Cl₂ and end up with PCl₅, the difference in mass between PCl₅ and Cl₂ must be the mass of PCl₃ consumed. Therefore, the mass of PCl₃ is given by subtracting the mass of Cl₂ from the mass of PCl₅:

Mass of PCl₃ = Mass of PCl₅ - Mass of Cl₂
= 11.45 g - 3.90 g
= 7.55 g

Thus, 7.55 g of PCl₃ is needed for the reaction.

"To determine the amount of heroin in the mixture, you dissolve 1.00 g of the white powdery mixture in water in a 100.0-mL volumetric flask. You find that the solution has an osmotic pressure of 531 mm Hg at 25 °C. What is the composition of the mixture?"

Answers

Explanation:

Formula to calculate osmotic pressure is as follows.

 Osmotic pressure = concentration × gas constant × temperature( in K)

Temperature = [tex]25^{o} C[/tex]

                      = (25 + 273) K

                      = 298.15 K  

Osmotic pressure = 531 mm Hg or 0.698 atm     (as 1 mm Hg = 0.00131)

Putting the given values into the above formula as follows.

       0.698 = [tex]C \times 0.082 \times 298.15 K [/tex]

               C = 0.0285

This also means that,

  [tex]\frac{\text{moles}}{\text{volume (in L)}}[/tex] = 0.0285

So,     moles = 0.0285 × volume (in L)

                      = 0.0285 × 0.100

                     = [tex]2.85 \times 10^{-3 }[/tex]

Now, let us assume that mass of [tex]C_{12}H_{23}O_{5}N[/tex] = x grams

And, mass of [tex]C_{12}H{22}O_{11}[/tex] = (1.00 - x)

So, moles of [tex]C_{12}H_{23}O_{5}N = \frac{mass}{\text{molar mass}}[/tex]

                              = [tex]\frac{x}{369}[/tex]

Now, moles of [tex]C_{12}H_{22}O_{11} = \frac{(1.00 - x)}{342}[/tex]

                   = [tex]\frac{x}{369} + \frac{(1.00 - x)}{342}[/tex]

                  = [tex]2.85 \times 10^{-3}[/tex]

             = x = 0.346

Therefore, we can conclude that amount of [tex]C_{12}H_{23}O_{5}N[/tex] present is 0.346 g  and amount of [tex]C_{12}H_{22}O_{11}[/tex] present is (1 - 0.346) g = 0.654 g.

When a 26.3 mL sample of a 0.465 M aqueous nitrous acid solution is titrated with a 0.461 M aqueous barium hydroxide solution, what is the pH after 19.9 mL of barium hydroxide have been added

Answers

Answer: The pH of the solution after addition of barium hydroxide is 3.78

Explanation:

To calculate the number of moles for given molarity, we use the equation:

[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}\times 1000}{\text{Volume of solution (in mL)}}[/tex]      .......(1)

For nitrous acid:

Molarity of nitrous acid = 0.465 M  

Volume of solution = 26.3 mL

Putting values in equation 1, we get:

[tex]0.465M=\frac{\text{Moles of nitrous acid}\times 1000}{26.3mL}\\\\\text{Moles of nitrous acid}=\frac{0.465\times 26.3}{1000}=0.0122mol[/tex]

For barium hydroxide:

Molarity of  barium hydroxide = 0.461 M  

Volume of solution = 19.9 mL

Putting values in equation 1, we get:

[tex]0.461M=\frac{\text{Moles of  barium hydroxide}\times 1000}{19.9mL}\\\\\text{Moles of  barium hydroxide}=\frac{0.461\times 19.9}{1000}=0.0092mol[/tex]

The chemical reaction for nitrous acid and barium hydroxide follows the equation:

                [tex]2HNO_2+Ba(OH)_2\rightarrow Ba(NO_2)_2+2H_2O[/tex]  

Initial:       0.0122    0.0092          

Final:         0.003          -                0.0092

Volume of solution = 26.3+ 19.9 = 46.2 mL = 0.0462 L   (Conversion factor:  1 L = 1000 mL)

To calculate the pH of acidic buffer, we use the equation given by Henderson Hasselbalch:

[tex]pH=pK_a+\log(\frac{[salt]}{[acid]})[/tex]

[tex]pH=pK_a+\log(\frac{[NO_2^-]}{[HNO_2]}[/tex]

We are given:

[tex]pK_a[/tex] = negative logarithm of acid dissociation constant of nitrous acid = 3.29

[tex][NO_2^-]=\frac{0.0092}{0.0462}[/tex]  

[tex][HNO_2]=\frac{0.003}{0.0462}[/tex]

pH = ?

Putting values in above equation, we get:

[tex]pH=3.29+\log(\frac{0.0092/0.0462}{0.003/0.0462})\\\\pH=3.78[/tex]

Hence, the pH of the solution after addition of barium hydroxide is 3.78

Ethane, C2H6, burns in oxygen. First write a balanced equation for this combustion reaction. What mass of oxygen, in grams, is required for complete combustion of 13.6 g of ethane

Answers

Answer:

We need 50.6 grams of oxygen

Explanation:

Step 1: Data given

Mass of ethane = 13.6 grams

Molar mass of ethane = 30.07 g/mol

Step 2: The balanced equation

2C2H6 + 7O2 → 4CO2 + 6H2O

Step 3: Calculate moles ethane

Moles ethane = mass ethane / molar mass ethane

Moles ethane = 13.6 grams / 30.07 g/mol

Moles ethane = 0.452 moles

Step 4: Calculate moles oxygen

For 2 moles ethane we need 7 moles O2 to produce 4 moles CO2 and 6 moles H2O

For 0.452 moles ethane we need 3.5*0.452 = 1.582 moles O2

Step 5: Calculate mass O2

Mass O2 = moles O2 * molar mass O2

Mass O2 = 1.582 moles * 32.0 g/mol

Mass O2 =  50.6 grams

We need 50.6 grams of oxygen

Final answer:

The balanced chemical equation for the complete combustion of ethane (C2H6) in oxygen (O2) is: C2H6 + 7/2 O2 -> 2 CO2 + 3 H2O. To burn 13.6g of ethane completely, approximately 50.63g of oxygen is needed.

Explanation:

Firstly, the balanced chemical equation for the complete combustion of ethane (C2H6) in oxygen (O2) is:

C2H6 + 7/2 O2 -> 2 CO2 + 3 H2O

From this equation, one mole of ethane reacts with 3.5 moles of oxygen. To calculate the mass of oxygen needed, you firstly need to know the molar mass of ethane (C2H6), which is approximately 30.07 g/mol. Therefore, 13.6 g of ethane is about 0.452 moles.

Since 1 mole of ethane reacts with 3.5 moles of oxygen, then 0.452 moles of ethane would require (0.452 x 3.5) = 1.582 moles of oxygen. The molar mass of oxygen (O2) is about 32 g/mol, so the mass of oxygen required is (1.582 moles x 32 g/mol) = 50.63 g.

Therefore, the mass of oxygen required for the complete combustion of 13.6 g of ethane is approximately 50.63 grams.

Learn more about Chemical Reaction and Stoichiometry here:

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