The enthalpy of reaction changes somewhat with temperature. Suppose we wish to calculate ΔH for a reaction at a temperature T that is different from 298 K. To do this, we can replace the direct reaction at T with a three-step process. In the first step, the temperature of the reactants is changed from T to 298 K. ΔH for this step can be calculated from the molar heat capacities of the reactants, which are assumed to be independent of temperature. In the second step, the reaction is conducted at 298 K with an enthalpy change ΔH°. In the third step, the temperature of the products is changed from 298 K to T. The sum of these three enthalpy changes is ΔH for the reaction at temperature T.
An important process contributing to air pollution is the following chemical reaction:
SO2(g) + ½O2(g) → SO3(g)
For SO2(g), the heat capacity cp is 39.9, for O2(g) it is 29.4, and for SO3(g) it is 50.7 J K⁻¹ mol⁻¹.
Calculate ΔH for the preceding reaction at 500 K, using the enthalpies of formation at 298.15 K from Appendix D.

Answers

Answer 1

Answer:

-99.8 kJ

Explanation:

We are given the methodology to answer this question, which is basically  Kirchhoff law . We just need to find the heats of formation for the reactants and products and perform the calculations.

The standard heat of reaction is

ΔrHº = ∑ ν x ΔfHº products - ∑ ν x ΔfHº reactants

where ν are the stoichiometric coefficients in the balanced equation, and ΔfHº are the heats of formation at their  standard states.

  Compound                 ΔfHº (kJmol⁻¹)

        SO₂                             -296.8

         O₂                                    0

         SO₃                            -395.8

The balanced chemical equation is

SO₂(g) + ½O₂(g) → SO₃(g)

Thus

Δr, 298K Hº( kJmol⁻¹ ) =  1 x (-395.8) - 1 x (-296.8) = -99.0 kJmol⁻¹

Now the heat capacity of reaction  will be be given in a similar fashion:

Cp rxn = ∑ ν x Cp of products - ∑ ν x Cp of reactants

where ν is as above the stoichiometric coefficient in the balanced chemical equation.

Cprxn ( JK⁻¹mol⁻¹) = 50.7 - ( 39.9 + 1/2 x 29.4 ) = - 3.90

                         = -3.90 JK⁻¹mol⁻¹

Finally Δr,500 K Hº = Δr, 298K Hº +  CprxnΔT

Δr,500 K Hº = - 99 x 10³ J + (-3.90) JK⁻¹ ( 500 - 298 ) K = -99,787.8

                     = -99,787.8 J x 1 kJ/1000 J  = -99.8 kJ

Notice thie difference is relatively small that is why in some problems it is o.k to assume the change in enthalpy is constant over a temperature range, especially if it is a small range of temperatures.


Related Questions

Which of the following solutions would make a good buffer system? (Check all that apply.) A. A solution that is 0.10 M NH3 and 0.10 M NH4Cl B. A solution that is 0.10 M HCN and 0.10 M NaF C. A solution that is 0.10 M HCN and 0.10 M LiCN D. A solution that is 0.10 M HF and 0.10 M NaF

Answers

Answer:

A solution that is 0.10 M HCN and 0.10 M LiCN

. A solution that is 0.10 M NH3 and 0.10 M NH4Cl

Explanation:

A buffer consists of a weak acid and its conjugate base counterpart. HCN is a weak acid and the salt LiCN contains its counterpart conjugate base which is the cyanide ion. A buffer maintains the pH by guarding against changes in acidity or alkalinity of the solution.

A solution of ammonium chloride and ammonia will also act as a basic buffer. A buffer may also contain a weak base and its conjugate acid.

Answer:

Good buffer systems are:  

A) NH3 + NH4Cl

C) HCN + LiCN

D) HF + NaF

Explanation:

Buffers consist in a mixture of a weak acid with its salt or a weak alkaly with its salt. All buffer systems are conformed by:

1) Weak acid + salt

or

2) Weak alkaly + salt

It is very important these salts come from the weak acid or weak alkaly. It means, the anion of the acid must be the anion in the salt which is going to be part of the buffer system. On the other hand, the cation of the weak alkaly must be the cation of the salt which is going to form the salt in the buffer system.

Then, when we evaluate all options in this exercise, answers are the following:

A) 0.10 M NH3 and 0.10 M NH4Cl. It is a buffer because NH3 (ammonia) is a weak alkaly and NH4Cl is a salt coming from NH3.

Buffer component reactions:

Reaction weak alkaly:   NH3 + H2O <-----> NH4+ + OH-

Reaction salt in water:  NH4Cl ---> NH4+ + Cl-

NH4+ is the cation of the weak alkaly so it must be part of the salt in the buffer system. Then NH4Cl is a salt from NH3.

C) 0.10 M HCN and 0.10 M LiCN. It is a buffer because HCN is a weak acid and LiCN is a salt which is coming from HCN.

Buffer component reactions:

Reaction weak acid:     HCN + H2O <-----> H3O+ + CN-  

Reaction salt in water:  LiCN --> Li+ + CN-

CN- is the anion of the acid, so it must be part of the salt in the buffer system. Then LiCN is a salt from HCN.

D) 0.10 M HF and 0.10 M NaF. It is a buffer because HF is a weak acid and NaF is a salt which is coming from HF.

Buffer component reactions:

Reaction weak acid:      HF + H2O <------> H3O+ + F-

Reaction salt in water:   NaF ---> Na+ + F-

F- is the anion of the weak acid (HF), so it must be part of the salt in th buffer systema. Then NaF is a salt coming from HF.

However option B, it is not a buffer, because it is a mixture of 0.10 M HCN and 0.10 M NaF.    Salt is not coming from the weak acid.

Reaction weak acid:    HCN + H2O <-----> H3O+ + CN-  (anion of the acid is CN-)

Rection salt in water:   NaF --> Na+ + F-  (anion in the salt is F-, not CN-)

Anion of the acid is CN- and the anion in the salt is F- so it is not a salt coming from the weak acid. Then option B it is not a buffer system.

Snape grows tired of these conceptual questions and thinks it’s time for a problem. What is the retention factor if the distance traveled by the solvent front is 2.00 cm, and the distance traveled by the ion is 0.40 cm?

Answers

Answer:

ion travelled : 2.00cm -0.40cm

                     = 1.6cm

∴ Rf = 1.6/2.0

        = 0.80

Explanation:

Retention factor is the ratio of distance travelled by solute divided by distance travelled by solvent.

since you given distance travelled by solvent then the distance required by solute is need in this case the ion.

A car starts at mile marker 145 on a highway and drives at 55 mi/hrmi/hr in the direction of decreasing marker numbers. What mile marker will the car reach after 2 hours

Answers

Answer:

135 mile marker will the car reach after 2 hours.

Explanation:

Speed of the car = 55 mile/hour

Distance covered in 2 hours = d

[tex]Speed=\frac{Distance}{Time}[/tex]

[tex]55 mile/hour=\frac{d}{2 hour}[/tex]

[tex]d=55 mile/hour\times 2 hour=110 mile[/tex]

The direction of the car is in decreasing marker numbers which mienas that car had started from end where 145 mile marker was present.

So, the marker appearing after travelling 2 hours will be:

145 - 110 = 135

135 mile marker will the car reach after 2 hours.

Use a spreadsheet and construct curves for the following titrations. Calculate potentials after the addition of 10.00, 25.00, 49.00, 49.90, 50.00, 50.10, 51.00, and 60.00 mL of the reagent. Where necessary, assume that = 1.00 throughout.

Answers

yo you uo i don't really knwo i'm really sootbdiskdis

Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins. It is also a component of cigarette smoke. Pyridine ionizes in water as follows: C5H5N+H2O⇌C5H5NH++OH− The pKb of pyridine is 8.75. What is the pH of a 0.460 M solution of pyridine? (Assume that the temperature is 25 ∘C.) Express the pH numerically to two decimal places.

Answers

Answer:

The pH of the solution is 9.46

Explanation:

         C₅H₅N + H₂O ⇌ C₅H₅NH+OH⁻

I          0.46

C         - x                           +x +x

E         0.46 - x                        

-LogKb = Pkb

[tex]Kb =10^{[-PKb]} = 10^{[-8.75]} = 1.778 X 10^{-9}[/tex]

[tex]Kb = \frac{[C5H5NH][OH^-]}{[C5H5N]}[/tex]

[tex]1.778 X10^{-9}= \frac{X^2}{0.46-X} \\\\X^2 = 8.1788 X 10^{-10} - 1.778 X10^{-9}X\\\\X^2 + 1.778 X10^{-9}X -8.1788 X 10^{-10}\\\\X = 2.85977 X 10^{-5} = [OH^-][/tex]

pOH = -Log[OH⁻]

pOH = -Log [2.85977 x 10⁻⁵]

pOH = 4.54

pOH + pH = 14

pH = 14 - pOH

pH = 14 - 4.54

pH = 9.46

Therefore, the pH = 9.46

1) β-galactosidase is a unique enzyme, in that it can have multiple substrates. What are some other substrates for β-galactosidase? What are some other inhibitors for β-galactosidase?

Answers

The natural substrate of beta glycosidase enzyme is Ganglioside GMI, Lactosylceramide, lactose and glycoprotein.

Inhibitors of beta galactosidase enzyme is 1,4-dithiothreitol, beta marcaptoethanol, 4-chloromercurobenzoic acid and Acid-beta galactosidase.

Explanation:

Beta galactosidase enzyme performs the hydrolysis of beta galactosides into monosaccharides. It acts on aryl, amino, alkyl beta glycosidic linkages also.

The enzyme attacks on the bond formed between organic entity and galactose sugar.

It can act on multiple substrates. Some substrates are :

Ganglioside GMI

Lactosylceramide

Lactose : Enzyme beta galactosidase enzyme is a boon for lactose intolerant people because it breaks lactose in yoghurt, sour cream and cheese and makes it easy for consumption to such people.

glycoprotein : These have glycosidic bonds on which enzyme works to break the bonds.

The inhibitors for the β-galactosidase are :

  4-dithiothreitol

beta marcaptoethanol

4-chloromercurobenzoic acid

Acid-beta galactosidase.

When inhibitors are bind to enzyme it breaks down the inhibitor and reaction does not takes place.

Final answer:

β-galactosidase can act on different substrates like lactose, ONPG and IPTG, demonstrating its flexibility. Its activity can be regulated by inhibitors such as glucose and PETG, affecting enzyme function either competitively or non-competitively.

Explanation:

The enzyme β-galactosidase is unique as it can act on various substrates and is influenced by several inhibitors. This enzyme mainly acts on lactose but can also interact with several structurally related substrates such as o-nitrophenyl-β-D-galactoside (ONPG) and isopropyl β-D-1-thiogalactopyranoside (IPTG), exemplifying the flexibility of β-galactosidase.

The activity of β-galactosidase is subject to regulation by various inhibitors. These inhibitors could exert their effect by binding to the enzyme's active site (competitive inhibition), or noncompetitively by interacting with the enzyme's allosteric site--an alternate part where non-substrate molecules can attach. Examples of inhibitors include glucose and phenylethyl β-D-thiogalactoside (PETG).

Learn more about β-galactosidase here:

https://brainly.com/question/32810530

#SPJ11

The pKa of an acid (one dissociable hydrogen) is -5.7. To the nearest ones, what is the Ka of this acid? Please note that we should use scientific notation and fewer significant figures, but Canvas is not configured to use scientific notation.

Answers

Answer:

The value of dissociation constant of an acid [tex]5.0\times 10^{5}[/tex].

Explanation:

The [tex]pK_a[/tex] of an acid = -5.7

The dissociation constant of the reaction = [tex]K_a[/tex]

The relation between [tex]pK_a[/tex] and [tex] K_a[/tex] is given by ;

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

[tex]-5.7=-\log[K_a][/tex]

[tex]K_a=10^{-(-5.7)}=5.012\times 10^{5}\approx 5.0\times 10^{5}[/tex]

The value of dissociation constant of an acid [tex]5.0\times 10^{5}[/tex].

Suppose you want to separate a mixture of the following compounds: salicylic acid, 4-ethylphenol, p-aminoacetophenone, and napthalene. Come up with a list of steps and chemicals needed to most efficiently isolate all four compounds as solids with the greatest purity possible. You do not need to write a formal procedure, but be sure to indicate steps needed clearly and in order.

Answers

Answer:

The procedure you will use in this exercise exploits the difference in acidity and solubility just described.

(a) you will dissolve your unknown in ethyl acetate (an organic solvent). All of the possible compounds are soluble in ethyl acetate.

(b) you will extract with sodium bicarbonate to remove any carboxylic acid that is present.

(c) you will extract with sodium hydroxide to remove any phenol that is present.

(d) you will acidify both of the resulting aqueous solutions to cause any compounds that were extracted to precipitate.

onsider the following reaction at equilibrium: CO(g) + Cl2(g)=======COCl2(g) Predict whether the reaction will shift left,shift right, or remain the unchanged upon each of the following disturbances.a) COCl2 is added to thereaction mixtureb) Cl2 is added to thereaction mixturec) COCl2 is removed fromthe reaction mixture

Answers

Explanation:

CO(g) + Cl2(g) ⇄ COCl2(g)

This question is based on Le Chatelier's principle.

Le Chatelier's principle is an observation about chemical equilibria of reactions. It states that changes in the temperature, pressure, volume, or concentration of a system will result in predictable and opposing changes in the system in order to achieve a new equilibrium state.

a) COCl2 is added to the reaction mixture

COCL2 is a product in the reaction. If we add additional product to a system, the equilibrium will shift to the left, in order to produce more reactants. The reaction would shift to the left.

b) Cl2 is added to the reaction mixture

if we add reactants to the system, equilibrium will be shifted to the right to in order to maintain equilibrium by producing more products.

c) COCl2 is removed from the reaction mixture

if we remove products from the system, equilibrium will be shifted to the right to in order to maintain equilibrium by producing more products.

Final answer:

Chemical reactions at equilibrium, such as CO(g) + Cl2(g) ⇌ COCl2(g), shift in response to changes to re-establish equilibrium. If a product or reactant is added, the reaction will respectively shift towards reactants or products. Similarly, if a product or reactant is removed, the reaction will respectively shift towards products or reactants.

Explanation:

In chemistry, chemical reactions at equilibrium respond to disturbances according to Le Châtelier's principle: the system shifts in a way that counters the disturbance and re-establishes equilibrium. Now, let's consider the reaction: CO(g) + Cl2(g) ⇌ COCl2(g).

(a) When COCl2 is added, it will increase the product's concentration, thus, the reaction will shift to the left (towards the reactants) to re-establish equilibrium. (b) When Cl2 is added, it will increase the reactant's concentration. The reaction will shift to the right (towards the products) to counter this and re-establish equilibrium. (c) When COCl2 is removed, it decreases the product's concentration. To counteract this, the reaction shifts to the right (towards the products) to re-establish equilibrium.

Learn more about Chemical equilibrium here:

https://brainly.com/question/3920294

#SPJ3

Draw the structure of a compound with the molecular formula C9H10O2 that exhibits the following spectral data. (a) IR: 3005 cm-1, 1676 cm-1, 1603 cm-1 (b) 1H NMR: 2.6 ppm (singlet, I

Answers

Answer:

The answer is 3-Phenylpropanoic acid (see attached structure)

Explanation:

From spectral data:

3005 cm-1 ⇒ carboxylic acid (broad band)

1670 cm-1 ⇒ C=C

1603 cm-1 ⇒ Aromatic C-C bond

H NMR frequency at 2.6 ppm, singlet, ⇒ OH with no surrounding protons, possible deshielding  (clearer investigation of  spectrum would be expedient).

Hence, our C9H10O2 compound has an aromatic ring and carboxylic acid group attached to it.

Final answer:

The compound is probably a molecule with an aromatic ring (benzene) with an attached ester group (COOCH3) that satisfies all the given spectral data.

Explanation:

The spectral data given corresponds to a compound with molecular formula C9H10O2. From the IR data, the bands at 3005 cm-1 suggests C-H sp2 bond (alkene or aromatic), at 1676 cm-1 indicates carbonyl group (C=O), and 1603 cm-1 suggests a carbon-carbon double bond (C=C) which might be in an aromatic ring. The 1H NMR data: 2.6 ppm singlet signifies the protons of a methyl group (CH3) attached to an electronegative atom like a carbonyl carbon.

Based on these data, a probable structure for the compound could be a molecule, which is an aromatic ring (benzene) with an attached ester group (COOCH3). That gives the right molecular formula, the required carbonyl, alkene and sp2 hybridized C-H bonds for the IR, and the singlet in the NMR for the methyl group (CH3) of the ester.

Learn more about Structure of Compound here:

https://brainly.com/question/31468426

#SPJ3

Propose a mechanism to account for the formation of a cyclic acetal from 4-hydroxypentanal and one equivalent of methanol. If the carbonyl oxygen of 4-hydroxypentanal is enriched with oxygen-18, do you predict that the oxygen label appears in the cyclic acetal or in the water

Answers

Answer:

If carbonyl oxygen of 4-hydroxypentanal is enriched with [tex]O^{18}[/tex], then the oxygen label appears in the water .

Explanation:

In the first step, -OH group at C-4 gives intramolecular nucleophilic addition reaction at carbonyl center to produce a cyclic hemiacetal.Then, one equivalent of methanol gives nucleophilic substitiution reaction by substituting -OH group in cyclic hemiacetal to produce cyclic acetal.If carbonyl oxygen of 4-hydroxypentanal is enriched with [tex]O^{18}[/tex], then the oxygen label appears in the water produced at the end of reaction.Full reaction mechanism has been shown below.

Estimate the following: a) The volume occupied by 18 kg of ethylene at 55°C and 35 bar. b) The mass of ethylene contained in a 0.25-m3 cylinder at 50°C and 115 bar.

Answers

The estimated volume occupied by 18 kg of ethylene at 55℃ and 35 bar is approximately 476.6 liters. The mass of ethylene contained in a [tex]0.25m^3[/tex] cylinder at 50℃ and 115 bar is approximately 3.03 kg.

To estimate the volume occupied by 18 kg of ethylene at 55℃ and 35 bar, we can use the ideal gas law expressed as PV = nRT. First, we need to calculate the number of moles (n) using the molar mass of ethylene ([tex]C_2H_4[/tex]) which is approximately 28 g/mol. Therefore, n = 18000 g / 28 g/mol = 642.86 moles. The gas constant (R) is 0.08314 L*bar/mol*K. Converting the temperature to Kelvin, T = 55 + 273 = 328 K. Now, we can solve for V:

V = (nRT) / P = (642.86 mol * 0.08314 L*bar/mol*K * 328 K) / 35 bar = 476.6 L

To determine the mass of ethylene in a 0.25-[tex]m^3[/tex] cylinder at 50℃ and 115 bar, we apply the ideal gas law again. We first convert the volume to liters (V = 0.25 [tex]m^3[/tex] * 1000 L/[tex]m^3[/tex] = 250 L), and temperature to Kelvin (T = 50 + 273 = 323 K). The pressure is already in bar. Now, we calculate the number of moles, solving for n:

n = PV / RT = (115 bar * 250 L) / (0.08314 L*bar/mol*K * 323 K) = 108.14 moles

The mass of ethylene is then m = n * molar mass = 108.14 moles * 28 g/mol = 3027.92 g or approximately 3.03 kg of ethylene.

The properties of elements are different than the compound that the elements form. Is this statement True or False

Answers

Answer:

true

Explanation:

The decay constant for 14C is .00012 In 1947, the famous cave paintings in Lascaux, France were discovered and testing revealed that charcoal in the cave contained 20% of the 14C found in living trees. Write a formula for the age of the charcoal (hence of the associated paintings). Show your work to find this formula.

Answers

The question is incomplete, here is the complete question:

The decay constant for 14-C is [tex]0.00012yr^{-1}[/tex] In 1947, the famous cave paintings in Lascaux, France were discovered and testing revealed that charcoal in the cave contained 20% of the 14-C found in living trees. Write a formula for the age of the charcoal (hence of the associated paintings). Show your work to find this formula.

Answer: The formula for the age of the charcoal is [tex]t=\frac{2.303}{1.2\times 10^{-4}yr^{-1}}\log \frac{100}{20}[/tex]

Explanation:

Carbon-14 isotope is a radioisotope and its decay process follows first order kinetics.

Rate law expression for first order kinetics is given by the equation:

[tex]k=\frac{2.303}{t}\log\frac{[A_o]}{[A]}[/tex]

where,

k = rate constant  = [tex]0.00012yr^{-1}=1.2\times 10^{-4}yr^{-1}[/tex]

t = time taken for decay process = ? yr

[tex][A_o][/tex] = initial amount of the sample = 100 grams

[A] = amount left after decay process = (100 - 20) = 80 grams

Putting values in above equation, we get:

[tex]1.2\times 10^{-4}=\frac{2.303}{t}\log\frac{100}{20}\\\\t=\frac{2.303}{1.2\times 10^{-4}yr^{-1}}\log \frac{100}{20}[/tex]

Hence, the formula for the age of the charcoal is [tex]t=\frac{2.303}{1.2\times 10^{-4}yr^{-1}}\log \frac{100}{20}[/tex]

Consider the following reaction: Pb(NO3)2(aq) + 2 NaCl(aq) → PbCl2(s) + 2 NaNO3(aq)If you react an excess of Pb(NO3)2with 26.3 g of NaCl, and you isolate 52.1 g of PbCl2, what is your percent yield?

Answers

Answer:

[tex]\large \boxed{84.7 \, \%}[/tex]

Explanation:

Mᵣ:                          58.44      278.11

           Pb(NO₃)₂ + 2NaCl ⟶ PbCl₂ + 2NaNO₃

m/g:                         26.3

1. Moles of NaCl

[tex]\text{Moles of NaCl} = \text{26.3 g NaCl} \times \dfrac{\text{1 mol NaCl}}{\text{58.44 g NaCl}} = \text{0.4505 mol NaCl}[/tex]

(b) Moles of PbCl₂

[tex]\text{Moles of PbCl${_2}$} = \text{0.4505 mol NaCl} \times \dfrac{\text{1 mol PbCl${_2}$}}{\text{2 mol NaCl}} = \text{0.2253 mol PbCl${_2}$}[/tex]

(c) Theoretical yield of PbCl₂

[tex]\text{Mass of PbCl${_2}$} = \text{0.2253 mol PbCl${_2}$} \times \dfrac{\text{278.11 g PbCl${_2}$}}{\text{1 mol PbCl${_2}$}} = \text{61.52 g PbCl${_2}$}[/tex]

(d) Percent yield

[tex]\text{Percent yield} = \dfrac{\text{ actual yield}}{\text{ theoretical yield}} \times 100 \,\% = \dfrac{\text{52.1 g}}{\text{61.52 g}} \times 100 \, \% = \mathbf{84.7 \,\%}\\\\\text{The percent yield is $\large \boxed{\mathbf{84.7 \, \% }}$}[/tex]

Final answer:

In a reaction where lead (II) nitrate reacts with sodium chloride to form lead (II) chloride, given 26.3 g of NaCl and 52.1 g of PbCl2 produced, the percent yield is calculated to be 83.27%.

Explanation:

The student is performing a reaction where lead (II) nitrate reacts with sodium chloride to produce lead (II) chloride and sodium nitrate. To calculate the percent yield, we use the actual mass of PbCl2 obtained from the experiment (52.1 g), and compare it with the theoretical mass that should have been produced if the reaction were 100% efficient.

First, you need to calculate the moles of NaCl:

Molecular weight of NaCl = 22.99 (Na) + 35.45 (Cl) = 58.44 g/molMoles of NaCl = mass (g) / molar mass (g/mol) = 26.3 g / 58.44 g/mol = 0.45 moles

Based on the stoichiometry of the balanced equation, 2 moles of NaCl will produce 1 mole of PbCl2 (2:1 ratio). Therefore, 0.45 moles of NaCl should theoretically produce 0.225 moles of PbCl2.

Now, calculate the theoretical yield:

Molecular weight of PbCl2 = 207.2 (Pb) + 2*35.45 (Cl) = 278.1 g/molTheoretical yield (g) = moles * molar mass = 0.225 moles * 278.1 g/mol = 62.57 g of PbCl2

To find the percent yield:

Percent yield = (actual yield / theoretical yield) * 100% = (52.1 g / 62.57 g) * 100% ≈ 83.27%

The percent yield of the reaction is therefore 83.27%.

5. At 20°C, the water autoionization constant, Kw, is 6.8 ´ 10–15. What is the H3O+ concentration in neutral water at this temperature? A. 6.8 × 10–7 M B. 3.4 × 10–15 M C. 6.8 × 10–15 M D. 8.2 × 10–8 M E. 1.0 × 10–7 M

Answers

Explanation:

Let us assume that the concentration of [[tex]OH^{-}[/tex] and [tex]H^{+}[/tex] is equal to x. Then expression for [tex]K_{w}[/tex] for the given reaction is as follows.

          [tex]K_{w} = [OH^{-}][H^{+}][/tex]

          [tex]K_{w} = x^{2}[/tex]

      [tex]6.8 \times 10^{-15} = x^{2}[/tex]

Now, we will take square root on both the sides as follows.

          [tex]\sqrt{6.8 \times 10^{-15}} = \sqrt{x^{2}}[/tex]

          [tex][H^{+}] = 8.2 \times 10^{-8}[/tex] M

Thus, we can conclude that the [tex]H_{3}O^{+}[/tex] concentration in neutral water at this temperature is [tex]8.2 \times 10^{-8}[/tex] M.

Answer: The concentration of [tex]H_3O^+[/tex] in neutral water is [tex]8.2\times 10^{-8}M[/tex]

Explanation:

The chemical equation for the ionization of water follows:

[tex]2H_2O\rightleftharpoons H_3O^++OH^-[/tex]

The expression of [tex]K_w[/tex] for above equation, we get:

[tex]K_w=[H_3O^+]\times [OH^-][/tex]

We are given:

[tex]K_w=6.8\times 10^{-15}[/tex]

[tex][H^+]=[OH^-]=x[/tex]

Putting values in above equation, we get:  

[tex]6.8\times 10^{-15}=x\times x\\\\x=8.2\times 10^{-8}M[/tex]

Hence, the concentration of [tex]H_3O^+[/tex] in neutral water is [tex]8.2\times 10^{-8}M[/tex]

The Br⊘⊘nsted-Lowry model focuses on the transfer of _______ in an acid-base reaction. The Brnsted-Lowry model focuses on the transfer of _______ in an acid-base reaction. electrons neutrons OH−OH− orbitals H+H+

Answers

Answer:

The Brönsted-Lowry model focuses on the transfer of H⁺ in an acid-base reaction.

Explanation:

According to the theory of Brönsted-Lowry , an acid is a chemical substance capable of releasing hydrogen ions, while a base is that chemical substance capable of accepting hydrogen ions. That is, acids are substances capable of yielding protons (hydrogen H + ions) and substance bases capable of accepting them.

On the other hand, the conjugate base of a Brønsted-Lowry acid is the species that forms after an acid donated a proton. The conjugate acid of a Brønsted-Lowry base is the species that forms when a base accepts a proton.

Thus, the acid-base reaction is one in which the acid transfers a proton to a base (proton transfer H⁺).

This theory, unlike another theory like Arrhenius, does not require the presence of water as a means of reaction for the transfer of H⁺.

The Brönsted-Lowry model focuses on the transfer of H⁺ in an acid-base reaction.

When making a solution of sodium hydroxide and water, a student weighed out an certain amount of sodium hydroxide pellets and dissolved them in an certain amount of water. However, the sodium hydroxide concentration of the resulting solution was lower than the concentration that the student thought they made. What was the problem?

Answers

Hygroscopic nature of NaOH is the main reason for the lower concentration of the sodium hydroxide in the solution.

Explanation:

It is a well known fact that Sodium hydroxide pellets are hygroscopic in nature, which clearly means that the sodium hydroxide pellets absorbs moisture from the air, so that it becomes deliquescent. When the NaOH crystals are weighed, the crystals absorb moisture from the surroundings, and so the weight of the crystals may change, so the concentration of the solution was lower than the required one.So it is not possible to prepare NaOH solution under normal room temperature. So, while preparing the solution of NaOH we have to be more careful.  

The main reason for the lower concentration of the sodium hydroxide in the solution is Hygroscopic nature of NaOH.

Nature of Sodium hydroxide:

It's obviously true that Sodium hydroxide pellets are hygroscopic in nature, which plainly implies that the sodium hydroxide pellets retains dampness from the air, so it becomes deliquescent. Whenever the NaOH precious stones are gauged, the gems assimilate dampness from the environmental factors, thus the heaviness of the gems might change, so the centralization of the arrangement was lower than the expected one. So it is absurd to expect to get ready NaOH arrangement under ordinary room temperature. In this way, while setting up the arrangement of NaOH we must be more cautious.

Find more information about Sodium hydroxide here:

brainly.com/question/25597694

Your friend, a business major, overhears you talking about chemical energy and food and decides to develop a new super food for busy students that just don’t have time to cook but want to eat a well-balanced diet for a reasonable price. If your friend wants to design a meal bar that contains a high amount of potential energy that the body could use, how would you recommend they rank the possible atom interactions they could incorporate into the chemical formula? Rank from highest chemical energy to lowest.

Answers

To design a high energy meal bar, ingredients should be chosen based on their potential chemical energy, with high-energy phosphates, lipids, proteins, and carbohydrates ranked from highest to lowest energy contents.

Ranking Atom Interactions by Chemical Energy

When designing a meal bar with high amounts of potential energy for busy students, your friend should consider the chemical structure of the ingredients. Chemical energy is stored within the bonds of atoms in food molecules. This chemical potential energy is what our bodies metabolize to generate energy, measured in Calories (calorimeter units). Atom interactions in food molecules can be broadly ranked from highest to lowest potential chemical energy as follows:

High-energy phosphates (such as in ATP)

Lipid molecules/fats (like triglycerides)

Protein (amino acid chains)

Carbohydrates (like glucose)

It is important to note that while lipids generally contain more energy per gram than proteins or carbohydrates, the balance and quality of nutrients also play a crucial role in the healthfulness of a meal bar. Therefore, your friend should focus on including a mix of macronutrients that release energy over time and sustain a student's activity levels efficiently.

To create a meal bar with a high amount of potential chemical energy, the macronutrients should be ranked as follows: lipids (fats) with the most chemical energy, followed by proteins, and then carbohydrates.

When designing a superfood meal bar with a high amount of potential chemical energy, we need to consider the atom interactions that store the most energy. The rank of atom interactions from highest to lowest chemical energy typically aligns with the macronutrient composition, as these are the main carriers of chemical energy in food.

Macronutrients Ranked by Chemical Energy:

Lipids (fats) - They have the highest amount of energy per gram due to the presence of long chains of hydrocarbons which, when metabolized, release large amounts of chemical energy.Proteins - Proteins are made up of amino acids linked by peptide bonds, and while they have a considerable energy content, it is lower than that of lipids.Carbohydrates - These include sugars, starches, and fibers. Simple carbohydrates can quickly release energy, while complex carbohydrates provide a more sustained energy release, although both have less energy per gram than lipids and proteins.

These rankings are based on the caloric content obtained through oxidation processes like metabolism. In designing a high-energy food bar, your friend should focus on incorporating healthy fats, complete proteins, and complex carbohydrates while considering the overall nutritional balance.

A(g) + 2B(g) → C(g) + D(g)

If you initially start with 1.00 atm of both A and B and find that at equilibrium 0.211 atm of C is present, what is the value of Kp for the reaction at the temperature the reaction was run?

Answers

Answer:

0.169

Explanation:

Let's consider the following reaction.

A(g) + 2B(g) ⇄ C(g) + D(g)

We can find the pressures at equilibrium using an ICE chart.

       A(g) + 2 B(g) ⇄ C(g) + D(g)

I       1.00     1.00        0        0

C       -x        -2x        +x       +x

E    1.00-x  1.00-2x     x         x

The pressure at equilibrium of C is 0.211 atm, so x = 0.211.

The pressures at equilibrium are:

pA = 1.00-x = 1.00-0.211 = 0.789 atm

pB = 1.00-2x = 1.00-2(0.211) = 0.578 atm

pC = x = 0.211 atm

pD = x = 0.211 atm

The pressure equilibrium constant (Kp) is:

Kp = pC × pD / pA × pB²

Kp = 0.211 × 0.211 / 0.789 × 0.578²

Kp = 0.169

A student fills her burette with NaOH to the 2.5 mL mark. She titrated her sample of the NaOH until she reaches the endpoint (i.e. all the acid has been neutralized by the NaOH). The volume marking on her burette - at the endpoint - is 52.5 mL. How many mL of NaOH did she use to reach the endpoint

Answers

Answer:

She used 50 mL of NaOH to reach the endpoint.

Explanation:

Assuming the burette is filled to the point marked 3.30 ml, You would record the initial point as 3.30 ml:

If at the end of the titration the level of the NaOH is at 20.30 mL; Subtract the initial reading from the final burette reading to get how many mL was used to reach an end point.

That is  20.3 - 3.3 = 17.00 mL

Therefore, the titration would have required 17.00 mL.

Remember that you should read the number that is at the bottom of the meniscus and at an eye level in order to avoid error.

Initial mark = 2.5 mL

Final mark = 52.5 mL.

volume used = 52.5 - 2.5

                            = 50 mL

How many joules of heat are required to heat 110 g of aluminum from 52.0 oC to 91.5 oC?

Answers

Answer:

We need 3910.5 joules of energy

Explanation:

Step 1: Data given

Mass of aluminium = 110 grams

Initial temperature = 52.0 °C

Final temperature = 91.5 °C

Specific heat of aluminium = 0.900 J/g°C

Step 2: Calculate energy required

Q = m*c*ΔT

⇒with Q = the energy required = TO BE DETERMINED

⇒with m = the mass of aluminium = 110 grams

⇒with c = the specific heat of aluminium = 0.900 J/g°C

⇒with ΔT = the change in temperature = T2 - T1 = 91.5 °C - 52.0 °C = 39.5 °C

Q = 110 grams * 0.900 J/g°C * 39.5

Q = 3910.5 J

We need 3910.5 joules of energy

what is the density of a substance that has a mass of 2.0 g, and when placed in a graduated cylinder the volume rose from 70 mL to 75 mL

Answers

Answer:

0.4g/mL

Explanation:

The following data were obtained from the question:

Mass = 2g

Volume = 75 — 70 = 5mL

Density =?

Density = Mass /volume

Density = 2/5

Density = 0.4g/mL

The density of the substance is 0.4g/mL

The density of a substance that has a mass of 2.0 g, and when placed in a graduated cylinder the volume rose from 70 mL to 75 mL is 0.4 g/mL.

To find the density of the substance, we need to calculate the volume it displaces and then divide its mass by that volume.

The volume displaced by the substance can be found by subtracting the initial volume in the graduated cylinder from the final volume after the substance is added. The initial volume is 70 mL and the final volume is 75 mL. Therefore, the volume displaced by the substance is:

Volume displaced = Final volume - Initial volume

Volume displaced = 75 mL - 70 mL

Volume displaced = 5 mL

Now, we have the mass of the substance, which is 2.0 g, and the volume it displaces, which is 5 mL. The density [tex]\rho[/tex] is calculated by dividing the mass (m) by the volume (V):

[tex]\rho = \frac{m}{V}[/tex]

[tex]\rho = \frac{2.0 \text{ g}}{5 \text{ mL}}[/tex]

[tex]\rho = 0.4 g/mL[/tex]

A mixture of 0.577 M H_2O , 0.314 M Cl_2O , and 0.666 M HClO are enclosed in a vessel at 25°C .
H_2O(g) + Cl_2O(g) <-------> 2 HOCl (g) Kc = 0.0900 at 25°C
1. Calculate the equilibrium concentrations of each gas at 25°C .

Answers

Answer:

Equilibrium Concentration of H₂O(g)  = 0.803

Equilibrium Concentration of Cl₂O(g)  = 0.540

Equilibrium Concentration of HOCl (g) = 0.214

Explanation:

Given;

                H₂O(g)  +   Cl₂O(g) <-------> 2HOCl (g)

I                 0.577        0.314                   0.666                

C               - x              -x                        +2x

E             0.577 - x     0.314 - x               0.666 +2x

[tex]K_c = \frac{[HOCL]^2}{[H_2O][CL_2O]} \\\\0.09 = \frac{[0.666+2x]^2}{[0.577-x][0.314-x]}\\\\0.09(0.1812 -0.891x+x^2) = (0.666+2x)(0.666+2x)\\\\0.0163-0.0802x+0.09x^2 = 0.4436+2.664x+4x^2\\\\3.91x^2+2.7742x+0.4273 =0\\\\x = -0.226, or -0.483[/tex]

Equilibrium Concentration of H₂O(g) = 0.577 - (- 0.226) = 0.803

Equilibrium Concentration of Cl₂O(g) = 0.314 - (- 0.226) = 0.540

Equilibrium Concentration of HOCl (g)  = 0.666 +2(- 0.226) = 0.214

Thus, from the result it can be seen that at equilibrium, the reactants are favored.

Which compartment has the higher osmotic pressure? Which compartment has the higher osmotic pressure? 1%% (m/vm/v) starch solution 10%% (m/vm/v) starch solution

Answers

Answer : The compartment that has the higher osmotic pressure is, 10 % (m/v) starch solution.

Explanation :

Formula used for osmotic pressure :

[tex]\pi=\frac{nRT}{V}\\\\\pi=\frac{wRT}{MV}[/tex]

where,

= osmotic pressure

V = volume of solution

R = solution constant  = 0.0821 L.atm/mole.K

T= temperature of solution = [tex]25^oC=273+25=298K  [/tex]

M = molar mass of solute

w = mass of solute

Now we have to determine the osmotic pressure for the following solution.

For 1 % (m/v) starch solution :

1 % (m/v) starch solution means that 1 grams of starch present in 100 mL or 0.1 L of solution.

Molar mass of starch = 692.7 g/mol

[tex]\pi=\frac{(1g)\times (0.0821Latm/moleK)\times (298K)}{(692.7g/mol)\times (0.1L)}[/tex]

[tex]\pi=0.353atm[/tex]

For 10 % (m/v) starch solution :

10 % (m/v) starch solution means that 10 grams of starch present in 100 mL or 0.1 L of solution.

Molar mass of starch = 692.7 g/mol

[tex]\pi=\frac{(10g)\times (0.0821Latm/moleK)\times (298K)}{(692.7g/mol)\times (0.1L)}[/tex]

[tex]\pi=3.53atm[/tex]

From this we conclude that, 10 % (m/v) starch solution has the higher osmotic pressure as compared to 1 % (m/v) starch solution.

Hence, the compartment that has the higher osmotic pressure is, 10 % (m/v) starch solution.

Final answer:

The 10% (m/v) starch solution will have a higher osmotic pressure compared to the 1% (m/v) starch solution because osmotic pressure increases with solute concentration.

Explanation:

The osmotic pressure is a property that depends on the solute concentration in a solution. In comparing a 1% (m/v) starch solution to a 10% (m/v) starch solution, the solution with the higher solute concentration is the one with higher osmotic pressure. Therefore, the 10% (m/v) starch solution will have a higher osmotic pressure because it has a greater concentration of starch molecules.

The osmotic pressure of a solution can be calculated using the formula Π = MRT, where Π is the osmotic pressure, M is the molarity of the solution, R is the gas constant, and T is the temperature in Kelvin. As solute concentration increases, so does the osmotic pressure, provided that temperature and the gas constant remain the same. Consequently, hypertonic solutions will have higher osmotic pressure than hypotonic solutions.

Explain why a fossil record is not 100% accurate.

Answers

Fossils form only when organism dies and suddenly buried in low oxygen environment. ... When sedimentary rocks are deep buried in the earth due to pressure above and temperature it turns into metamorphic rock and fossils destroy . Due to this rock cycle , fossil record has been lost.
The fossil record, however, is quite incomplete. Here's one major reason why: Sediment has to cover an organism's remains in order for the long fossilization process to begin. Most organisms decompose before this can happen. Fossilization odds increase if the organism happened to exist in large numbers or lived in or around sediment. For example, trilobites, ancient marine arthropods, met both criteria, so they're rather common fossils. The Tyrannosaurus rex, however, is far rarer. It was large and land-dwelling, and as a top predator made up a far smaller percentage of the population.

The charges and sizes of the ions in an ionic compound affect the strength of the electrostatic interaction between the ions and thus the strength of the lattice energy of the ionic compound. Arrange the compounds according to the magnitudes of their lattice energies based on the relative ion charges and sizes.a. SrO b. CsIc. RbFd. SrF2

Answers

Answer:

the correct answer:

C, B, D, A.

Explanation:

The chemical compounds named are compounds that have strong chemical bonds, forming cubic structures and crystals with very high boiling and melting points to less solid structures.

some are oxides, others salts, others are even used to emit radiation.

Consider the mechanism. Step 1: A + B − ⇀ ↽ − C equilibrium Step 2: C + A ⟶ D slow Overall: 2 A + B ⟶ D Determine the rate law for the overall reaction, where the overall rate constant is represented as

Answers

Final answer:

The rate law for the overall reaction derived from a two-step reaction mechanism is determined by the slowest (rate-determining) step. In this case, the rate law would be rate = k * K_eq * [A]^2[B], where k is the rate constant for the slow step, K_eq is the equilibrium constant for the fast step, and [A] and [B] represent the concentrations of A and B, respectively.

Explanation:

In the context of chemistry, one step in a multistep reaction mechanism is often significantly slower than the others. This slow step is known as the rate-determining step or the rate-limiting step. The reaction cannot proceed faster than this slowest step.

In your specific example, the given mechanism consists of two steps. The rate law for each step is generally expressed in terms of the concentration of the reactants involved in that step.

For Step 1 (A + B ⇄ C), assuming that the reaction reaches an equilibrium, the concentrations of A, B, and C would remain constant over time, and won't affect the overall rate. Therefore, we would ignore this step when deriving the rate law for the overall reaction.

On the other hand, Step 2 (C + A ⟶ D) is the slow step, and thus determines the rate of the overall reaction. The rate law for this step would be rate = k * [C][A]. But since C is also a product of Step 1, we need to express C in terms of A and B. From equilibrium of Step 1, we know [C] = K_eq*[A][B] (where K_eq is equilibrium constant).

Substituting this in rate law of step 2, we get rate = k * K_eq * [A]^2[B] for the overall reaction.

Learn more about Rate Law here:

https://brainly.com/question/35884538

#SPJ12

Final answer:

The rate law for the overall reaction 2A + B ⟶ D, considering Step 2 is the rate-determining step, is calculated by using the equilibrium from Step 1 to express the concentration of intermediate C in terms of A and B. After substitution and simplification, the rate law for the overall reaction is rate = k [A]²[B], indicating second-order dependence on A and first-order dependence on B.

Explanation:

To determine the rate law for the overall reaction, we must look at the mechanism provided. Since Step 2, which involves the conversion of C and A to D, is the rate-determining step, the rate law for the overall reaction will reflect this slowest step. However, since C is an intermediate that we cannot measure directly, we must use the equilibrium established in Step 1 to express the concentration of C in terms of the concentrations of A and B.

Assuming Step 1 is at equilibrium, the rate of the forward reaction is equal to the rate of the reverse reaction, and thus:

Rate of forward reaction (k₁ [A][B]) = Rate of reverse reaction (k₁₁ [C])

We can rearrange this to solve for [C]:

[C] = k₁/k₁₁ [A][B]

Now, since the rate-determining step is Step 2, we write the rate law based on this step:

rate = k₂ [C][A]

Substituting in the expression for [C] gives us:

rate = k₂ (k₁/k₁₁ [A][B])[A]

rate = (k₂ * k₁/k₁₁) [A]²[B]

Thus, after simplifying and combining the rate constants into a single overall rate constant (k), we have:

rate = k [A]²[B]

This shows that the reaction is second order with respect to A and first order with respect to B.

Learn more about Rate Law here:

https://brainly.com/question/35884538

#SPJ3

Which of the following is TRUE? Group of answer choices None of the above is true. The equivalence point is where the amount of acid equals the amount of base during any acid-base titration. An indicator is not pH sensitive. A titration curve is a plot of pH vs. the [base]/[acid] ratio. At the equivalence point, the pH is always 7.

Answers

Answer:

TRUE: The equivalence point is where the amount of acid equals the amount of base during any acid-base titration.

Explanation:

The point on the titration curve where the number of base equivalents added equals the number of acid equivalents is the equivalence point or neutralization point.

Chemical indicators are substances that change color thanks to a chemical change, depending on the pH of the medium, and thus indicate the end point or point of equivalence of an acid-base volumetry.

A titration curve occurs by representing the measured pH as a function of the added volume of titrant, where the rapid change in pH for a given volume is observed. The inflection point of this curve is called the equivalence point and its volume indicates the volume of titrant consumed to fully react with the analyte.

In some cases, there are multiple equivalence points that are multiples of the first equivalence point, as in the valuation of a diprotic acid, which indicates that its pH value will not always be 7.

5. Phosphoric acid (H3PO4) is a triprotic acid with three ionizable protons. Write a balance equation for the neutralization of phosphoric acid with NaOH. How many milliliters of 0.120 M NaOH would be required to completely neutralize 35.0 ml of 0.0440 M H3PO4

Answers

Answer:

1. H3PO4 + 3NaOH —> Na3PO4 + 3H2O

2. 38.5mL

Explanation:

1. We'll begin by writing a balanced equation for the reaction. This is illustrated below:

H3PO4 + 3NaOH —> Na3PO4 + 3H2O

2. H3PO4 + 3NaOH —> Na3PO4 + 3H2O

From the equation above, the following data were obtained:

nA (mole of the acid) = 1

nB (mole of the base) = 3

Data obtained from the question include:

Vb (volume of base) =?

Mb (Molarity of base) = 0.120 M

Va (volume of acid) = 35.0 mL

Ma (Molarity of acid) = 0.0440 M

Using the formula MaVa/MbVb = nA/nB, the volume of the base (i.e NaOH) can be obtained as follow:

MaVa/MbVb = nA/nB

0.0440 x 35/ 0.120 x Vb = 1/3

Cross multiply to express in linear form as shown below:

0.120 x Vb = 0.0440 x 35 x 3

Divide both side by 0.120

Vb = (0.0440 x 35 x 3) /0.120

Vb = 38.5mL

Therefore, 38.5mL of 0.120 M NaOH is needed for the complete neutralization.

Answer:

We need 38.5 mL of NaOH to neutralize the H3PO4 solution

Explanation:

Step 1: Data given

Molarity of NaOH = 0.120 M

Volume of H3PO4 = 35.0 mL = 0.035 L

Molarity of H3PO4 = 0.0440 M

Step 2: The balanced equation

H3PO4 + 3NaOH —> Na3PO4 + 3H2O

Step 3: Calculate the volume of NaOH

b*Ca*Va = a *Cb*Vb

⇒with b = the coefficient of NaOH = 3

⇒with Ca = the concentration of H3PO4 = 0.0440 M

⇒with Va = the volume of H3PO4 = 35.0 mL = 0.0350 L

⇒with a = the coefficient of H3PO4 = 1

⇒with Cb = the concentration of NaOH = 0.120 M

⇒with Vb = the volume of NaOH = TO BE DETERMINED

3*0.0440 * 0.0350 = 0.120 * Vb

Vb = 0.0385 L = 38.5 mL

We need 38.5 mL of NaOH to neutralize the H3PO4 solution

Other Questions
30-year-old Armand feels compelled to save objects that others might throw away. He is afraid that he will discard something he will need later, so his home is filled with old junk. Armand's neighbors have complained and he feels embarrassed. Which criteria that define abnormality are applicable in this case? Zara is six months into her first job, and shes also attending community college. She is planning to start saving a portion of her paycheck and has created a monthly budget to track her spending. Which budget item should Zara reduce to increase her savings? On their December 31, 2019 tax return, Ecogreen, Inc., a C corporation, suffered a difficult year and generated a loss. What are Ecogreen's options for dealing with the loss for tax purposes? Horace is a professional hair stylist. Let CCC represent the number of child haircuts and AAA represent the number of adult haircuts that Horace can give within 777 hours. 0.75C+1.25A \leq 70.75C+1.25A70, point, 75, C, plus, 1, point, 25, A, is less than or equal to, 7 Horace gave 555 child haircuts. How many adult haircuts at most can he give with the remaining time? Choose 1 answer: What percentage of people in Africa do not get enough to eat?A.10%, or 1/10B.33%, or 1/3C.50%, or 1/2D.75%, or 3/4 When it comes to rating the things that the media do, journalists believe that it is most important for the media to _________ and least important for it to ____________. PLLLZ HELP Find the coefficient of the indicated term in each expansion. (2x y)4, x2y2 term4244812 Solve the equation. Then check your solution Please select the best answer from the choices provided 142% as a mixed numer in simplest form Find the mass of a 50.p ml quantity of liquid of liquid is 1.64 g/ml Flex Co. just paid total dividends of $1,075,000 and reported additions to retained earnings of $3,225,000. The company has 715,000 shares of stock outstanding and a benchmark PE of 17.3 times. What stock price would you consider appropriate?a. $52.80b. $17.60c. $70.40d. $63.36e. $66.88 We examined the relationship between Rotten Tomatoes ratings and Metascore ratings for a sample of 75 popular movies. The scatterplot showed a linear form with strong positive association. Here is are the StatCrunch linear regression results. The r-sq value is about 0.75. What does this tell us? Simple linear regression results: Dependent Variable: Metascore Independent Variable: Rotten Tomatoes Metascore 21.605526+0.62434658 Rotten Tomatoes Sample size: 72 R (correlation coefficient) 0.86590 102 R-sq 0.74978458 Estimate of error standard deviation: 7.7978789a. 75 % of the Metascore ratings are accurately predicted by the regression line. b. Rotten Tomato ratings explain about 75 % of the variation in Metascore ratings.c. For each one point increase in Rotten Tomato ratings, we predict a 0.75 point increase in Metascore ratings. determine the solution on the interval [0, 2pi] for the equation[tex]sec^{2} x-2=0[/tex] A rope with a mass density of 1 kg/m has one end tied to a vertical support. You hold the other end so that the rope is horizontal and has a tension of 4 N. If you move the end of the rope back and forth, you produce a transverse wave in the rope with a wave speed of 2 m/s. If you double the amount of tension you exert on the rope, what is the wave speed?a. 2.8 m/sb. 1.0 m/sc. 2.0 m/sd. 0.25 m/se. 4.0 m/s EEG studies of the neocortex suggest that the __________ frontal lobe is more active when a person wants to approach something pleasant, while activity in the __________ frontal lobe is associated with wanting to withdraw from something unpleasant. What evidence makes it likely that near-death experiences (NDEs) are not a genuine glimpse of what happens after death, but rather are constructed form the beliefs of the person having the experience?a. NDEs are not the same for all people from all culturesb. tunnels are only seen by native Pacific Islandersc. most people report meeting the same "spiritual being" during an NDEd. NDEs are painful and people who experience them are unwilling to discuss the event Which is more work, pushing with 115 N over 15 m or lifting 20 kg 10 m? The ________ proposed that all impediments to the formation of a single market be eliminated by December 31, 1992, resulting in the Single European Act. A tank contains 70 kg of salt and 1000 L of water. A solution of a concentration 0.035 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration = (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank at time t minutes. dy/dt = (kg/min) y(0) = (kg) (c) Solve the initial value problem in part (b). y(t) = (d) Find the amount of salt in the tank after 5 hours. amount = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L) Identify whether each of the examples represent a "House of Brands" or a "Branded House" for of brand architecture. Procter & Gamble Toothpaste & Mouthwash Brands Crest, Colgate, Scope, Oral - B Answer 1 Coca Cola Soft Drink Brands Coca Cola Zero, Coca Cola, Coca Cola Life Answer 2 Virgin Brands