Calculate the mass, in grams, of 0.245 moles of nickel(11) perchlorate

Answers

Answer 1

Answer:

38.7 g

Explanation:

first you find the molar mass of Nickle(II) Perchlorate

Nickle = 58.693 g/mol

Perchlorate is Chlorine and Oxygen combined

Molar mass of chlorine is 35.453 g/mol

Oxygen = 15.999 g/mol but since it has 4 oxygen atoms combined with chlorine you have to multiply 15.999 by 4 which is 63.996 add all the masses together and that gives you 158.142. Since you have moles you multiply the moles by the molar mass which looks like this. 0.245 * 158.142 which equals 38.74479 but with sign figs it is 38.7g as your final answer. Ask me if you are confused about something.

Answer 2
Final answer:

To find the mass of 0.245 moles of nickel(II) perchlorate, first calculate its molar mass by summing the atomic masses of nickel, chlorine, and oxygen, resulting in 257.59 g/mol. Then, multiply the number of moles (0.245) by the molar mass to get 63.11 grams.

Explanation:

To calculate the mass, in grams, of 0.245 moles of nickel(II) perchlorate, we need to determine the molar mass of nickel(II) perchlorate. This involves adding the atomic masses of all atoms in the formula. For nickel(II) perchlorate, Ni(ClO4)2, the calculation is as follows:

Nickel (Ni): 58.69g/molChlorine (Cl) in perchlorate: 35.45g/mol × 2 = 70.90g/mol (because there are two ClO4 units)Oxygen (O) in perchlorate: 16.00g/mol × 8 = 128.00g/mol

Adding these together, the molar mass of Ni(ClO4)2 = 58.69 + 70.90 + 128.00 = 257.59g/mol.

Now, to find the mass of 0.245 moles of nickel(II) perchlorate:

Mass = number of moles × molar mass = 0.245 moles × 257.59 g/mol = 63.11 grams.

Therefore, 0.245 moles of nickel(II) perchlorate has a mass of 63.11 grams.


Related Questions

Which substance below has the greatest mass?
1 mole of silver
1 mole of copper
1 mole of lead
1 mol of tungsten

Answers

Final answer:

1 mole of lead has the greatest mass because its molar mass of approximately 207.2 g/mol is higher than that of silver (107.87 g/mol), copper (63.55 g/mol), and tungsten (183.84 g/mol), and all samples contain Avogadro's number of atoms.

Explanation:

To determine which substance has the greatest mass, we need to compare the molar masses of silver, copper, lead, and tungsten. The molar mass is the mass in grams of one mole of a substance, and it is numerically equivalent to the atomic mass for elements. Let's examine the atomic masses of these elements:

Silver (Ag): Approximately 107.87 g/molCopper (Cu): Approximately 63.55 g/molLead (Pb): Approximately 207.2 g/molTungsten (W): Approximately 183.84 g/mol

Given that 1 mole of each substance contains the same number of atoms (6.022 × 10²23 atoms, Avogadro's number), the substance with the highest molar mass will have the greatest mass. In this case, lead has the highest molar mass at approximately 207.2 g/mol, and therefore 1 mole of lead will have the greatest mass compared to 1 mole of silver, copper, or tungsten.

Final answer:

Lead (Pb) has the greatest mass.

Explanation:

The substance with the greatest mass in this case would be lead (Pb).

To determine which substance has the greatest mass, we need to compare their molar masses. The molar mass of silver (Ag) is approximately 107.87 g/mol, copper (Cu) is approximately 63.55 g/mol, lead (Pb) is approximately 207.2 g/mol, and tungsten (W) is approximately 183.84 g/mol.

Since lead (Pb) has the highest molar mass of the four substances, it has the greatest mass.

What does the environment where sediments are deposited mean for the rock that eventually forms?

Please Help!
Thanks

Answers

Answer with Explanation:

The environment where the sediments are deposited gives an information regarding the rock that eventually forms.

The minerals and textures of the rocks can tell what kind of environment they were formed as they were being deposited. The fossils embedded in the rocks (sedimentary rocks) or the outcrops can also tell what happened on earth during those times. The process of rock accumulation also tells whether there was a high level of flood, strong winds or sub-arctic environments occurring.

This then gives an evidence of the earliest life forms on Earth.

Final answer:

The depositional environment where sediments are collected has a direct impact on the type of sedimentary rock that forms, with factors such as available oxygen affecting characteristics like rock color. This information helps geologists reconstruct past Earth conditions and ecosystems.

Explanation:

The environment where sediments are deposited has significant implications for the sedimentary rock that will eventually form. For instance, beaches and deserts accumulate large deposits of sand, potentially forming sandstone, while the deep ocean floor might host sediments that turn into shale or limestone.

Depositional environments impart specific characteristics to the resulting rocks. Examples of this include the presence of oxygen influencing rock color during and after sediment burial. Understanding these environments allows geologists to reconstruct past Earth conditions and the history of life on our planet.

Sedimentary rocks from one environment might share similar types but can also be found across varying conditions, making pinpointing the depositional environment a challenging task. Yet, clues like sediment properties, rock color, and the presence of fossils provide invaluable insights into the ancient environments where these rocks formed.

in a reaction between oxidant and reductant which will give up electrons and which will accept electron

Answers

Answer:

Explanation:

Any species that undergoes oxidation is itself a reducing agent or reductant.

The species that undergoes reduction in the course of a chemical reaction is an oxidant or reducing agent.

Oxidation is defined as the loss of electrons, addition of oxygen and increase in oxidation number of a specie. Reduction is the gain of electrons, removal of oxygen and decrease in oxidation number of a specie.

Any specie that loses electrons to another undergoes oxidation and is a reductant.

Species that gains electrons are called oxidant.

10.6 grams of Na2CO3 is dissolved in water to make 1.25 liters
of solution. What is the molarity of the solution? (Molar mass of
Na2CO3 = 106 g/mol) __M.

Answers

Answer:

Molarity = 0.08 M

Explanation:

Given data:

Mass of sodium carbonate = 10.6 g

Volume of water = 1.25 L

Molarity of solution = ?

Solution:

First of all we will calculate the moles of solute.

Number of moles = mass/molar mass

Number of moles = 10.6 g/ 106 g/mol

Number of moles = 0.1 mol

Formula:

Molarity = moles of solute / volume of solution in L

Now we will put the values in formula.

Molarity = 0.1 mol / 1.25 L

Molarity = 0.08 M

What element has 3 valance electrons and 4 energy levels

Answers

Answer:

gallium

Explanation:

The temperature of a sample of gas in steel container at 30.3 Atm is
increased from -100.0 °C to 150 °C. What is the final pressure inside the
Given
Gas Law
Work
P1 =
1 P2 =
T1 =
Formula

Answers

Answer:

74.09 atm

Explanation:

Using the gas laws ( Charles and Boyle's law). We have the formula ,

P1/T1 = P2/T2

Where P1 = 30.3atm

T1 = -100 degree Celsius

to kelvin = -100+ 273 = 173K

T2 = 150 degree Celsius

To Kelvin = 150 = 150+273 = 423K

Imputing values

P1/T1 = P2/T2

30.3/173 = P2/ 423

Cross multiply

173×P2 = 30.3 ×423

173P2 = 12816.9

Divide both sides by 173

P2 = 12816.9/173

P2 = 74.09 atm

I hope this was helpful, please mark as brainliest

Answer:

P2=74.086atm

Explanation:

Using the formula p1/t1=P2/t2

P1=30.3atm

P2=?

T1=-100°c to Kelvin=273-100=173k

T2=150°c to Kelvin=273+150=423k

30.3\173=x/423

Cross multiply

173x=423×30.3

173x=12816.9

Divide both sides by 173

X=74.086atm

A gas at STP occupies 22.4 L if the temperature is changed to 260 K and the pressures changed it to 0.50 ATM what will the new volume be

Answers

Answer:

The new volume will be 42, 7 L.

Explanation:

We use the gas formula, which results from the combination of the Boyle, Charles and Gay-Lussac laws. According to which at a constant mass, temperature, pressure and volume vary, keeping constant PV / T. The conditions STP are: 1 atm of pressure and 273 K of temperature.

P1xV1/T1 =P2xV2/T2

1 atmx 22,4 L/273K = 0,5atmx V2/260K

V2=((1 atmx 22,4 L/273K )x 260K)/0,5 atm= 42, 67L

A student wants to do scientific research on how aquatic plants in lakes have changed over time. What field of science does this research mostly involve?

Answers

Answer:

The right field is oceanography

A balloon is filled with 12 L of air at a pressure of 2 atm. What is the volume of the balloon if the pressure is changed to 3 atm?

Answers

Answer:

8L

Explanation:

Using Boyle's law which states that the volume of a given mass of gas is inversely proportional to the pressure, provided temperature remains constant

P1V1= P2V2

P1 =  2atm, V1 = 12L ,

P2 = 3atm , V2 =

12 × 2 = V2 × 3

Divide both sides by 3

V2 = 24 ÷ 3

V2 = 8L

I hope this was helpful, please mark as brainliest

what valley could be younger​

Answers

Answer:

Tough question

Explanation:

need more detail

Do you mean the rock layers because if yes then the top rock layer would be the youngest

If you use one more of N2 how many moles of NH3 could be produced?

Answers

Hey there!

2 moles will be produced.

In N₂ there are 2 nitrogen atoms. In NH₃ there is 1 nitrogen atom.

So, there will be twice as many moles produced because there will be twice as many molecules.

Hope this helps!

Identify the missing coefficient in the balanced equation and classify the type of reaction.
Cl2O3 + H20- HCIO3

Answers

Final answer:

The missing coefficient in the reaction Cl2O3 + H2O → HCIO3 is 2 in front of HCIO3, resulting in a balanced equation Cl2O3 + H2O → 2 HCIO3, which is a combination reaction.

Explanation:

The missing coefficient in the chemical equation Cl2O3 + H2O → HCIO3 should balance the number of atoms of each element on both sides of the equation. In this case, to balance chlorine and oxygen atoms, we should place a coefficient of 2 in front of HCIO3, resulting in Cl2O3 + H2O → 2 HCIO3. This is an example of a combination reaction, where two or more substances combine to form a single product. Below are several examples of different reaction types for context:

a. Combustion reaction: C6H5CH3 + 9O2 → 7CO2 + 4H2Ob. Decomposition reaction: 2NaHCO3 → Na2CO3 + H2O + CO2c. Synthesis reaction: C + 2H2 → CH4

How can you use mass and volume to find density of a substance ?

Answers

Answer:

mass=density x volume

Explanation:

Final answer:

Density can be calculated by dividing the mass of a substance by its volume. The formula is Density = mass / volume.

Explanation:

The density of a substance can be calculated by dividing its mass by its volume. For example, let's say we have a sample of a substance with a mass of 50 grams and a volume of 20 cubic centimeters. To find the density, we would divide the mass by the volume:

Density = mass / volume

So in this case, the density would be:

Density = 50g / 20 cm3 = 2.5 g/cm3

Thus, the density of the substance is 2.5 grams per cubic centimeter.

You have 500 mL of 5 M HCl already made. You need to dilute the solution to 1 M HCl. How much water will you need to add?

Answers

Answer: 2500 ml

Explanation:

To dilute a 500 mL solution of 5 M HCl to a 1 M HCl solution, 2000 mL of water must be added, using the formula M1V1 = M2V2 with the values substituted respectively.

The question involves diluting a concentrated solution to a lower concentration, specifically diluting a 500 mL solution of 5 M HCl to obtain a 1 M HCl solution. To solve this, the dilution equation, M1V1 = M2V2, is used. In this equation, M represents molarity, and V represents volume. Initially, we have M1=5 M, V1=500 mL, and M2=1 M. We need to find V2, the final volume after dilution.

Step 1: Identify known variables: M1 = 5 M, V1 = 500 mL, M2 = 1 M.Step 2: Substituting known values into the equation 5 M * 500 mL = 1 M * V2.Step 3: Solve for V2: V2 = (5 * 500) / 1 = 2500 mL. This is the final volume after dilution.Step 4: Calculate the amount of water needed to dilute the solution: Volume of water added = V2 - V1 = 2500 mL - 500 mL = 2000 mL.

Therefore, to dilute the 500 mL solution of 5 M HCl to a 1 M solution, 2000 mL of water needs to be added.

Calculate the pH of the solutions: [H^+]= 1.6 x 10^-3 M

Answers

Answer:

A) pH = 2.8

B) pH = 5.5

C) pH = 8.9

D) pH = 13.72

Explanation:

a) [H⁺]  = 1.6 × 10⁻³ M

pH = -log [H⁺]

pH = -log [1.6 × 10⁻³ ]

pH = 2.8

b) [H⁺]  = 3 × 10⁻⁶

pH = -log [H⁺]

pH = -log [3 × 10⁻⁶ ]

pH = 5.5

c) [OH⁻] = 8.2 × 10⁻⁶

pOH = -log[OH]

pOH = -log[8.2 × 10⁻⁶]

pOH = 5.1

pH + pOH = 14

pH = 14 - pOH

pH = 14 - 5.1

pH = 8.9

d) [OH⁻] = 0.53 M

pOH = -log[OH]

pOH = -log[0.53]

pOH = 0.28

pH + pOH = 14

pH = 14 - pOH

pH = 14 - 0.28

pH = 13.72

In an experiment, hydrogen is collected in a 455-milliliter jar above water at a pressure of 101,3 kilopascals and a
temperature of 29.1°C. In addition to hydrogen, there is some water vapor in the jar. If the partial pressure of the water vapor is 4.0 kilopascals, how many moles of hydrogen are generated during the experiment?

Answers

Answer:

n = 1.9 ×10⁻⁵ mol

Explanation:

Given data:

Volume of hydrogen gas = 455 mm

Pressure of hydrogen gas = 101.3 kpa

Temperature = 29.1°C

Partial pressure of water vapor = 4.0 kpa

Number of moles of hydrogen gas = ?

Solution:

First of all we will convert the units.

Pressure of hydrogen gas = 101.3 kpa= 101.3/101 =  1 atm

Partial pressure of water vapor = 4.0 kpa = 4.0/ 101 = 0.04 atm

Temperature = 29.1 + 273 = 302.1 K

Volume of hydrogen gas = 455 / 1×10⁶ = 0.000455 L

Now we will calculate the total pressure.

Total pressure = Partial pressure of hydrogen gas + partial pressure of water vapors

Total pressure = 1 atm + 0.04 atm

Total pressure = 1.04 atm

Now we will calculate the number of moles;

PV = nRT

n = PV/RT

n =  1.04 atm × 0.000455 L / 0.0821 atm.L / mol.K × 302.1 K

n = 0.00047 /24.80/mol

n = 1.9 ×10⁻⁵ mol

Answer:

First, calculate the partial pressure of hydrogen by subtracting the total pressure of the hydrogen–water vapor mixture from the partial pressure of water vapor:

101.3 kPa − 4.0 kPa = 97.3 kPa.

Convert the temperature to kelvins:

29.1°C + 273.15 = 302.25 K.

Convert milliliters to liters by dividing by 1,000 to get 0.455 L.

Since the pressure is in kilopascals, use the R value 8.314 .

Now substitute the known values into the ideal gas equation:

n =  

n =  

n =  

n = 0.0176176 mol

n = 0.0176 mol

Explanation:

PLATO ANSWER!

Is the following equation balanced? FeCl₃ + MgO → Fe₂O₃ + MgCl₂
A.
Yes
B.
No

Answers

Answer:

The answer is B) No.

Explanation:

The equation balanced is:

2 FeCl₃ + 3 MgO → Fe₂O₃ + 3 MgCl₂

Equation balancing can be done by "trial and error" or by algebraic method.

In this way the equation is balanced on both sides having:

2 atoms of Fe, 6 of Cl, 3 of Mg and 3 of 0.

Final answer:

The chemical equation FeCl₃ + MgO → Fe₂O₃ + MgCl₂ is not balanced due to unequal numbers of iron, chlorine, and oxygen atoms on the reactant and product sides. The balanced equation would be 2FeCl₃ + 3MgO → Fe₂O₃ + 3MgCl₂.

Explanation:

The student's equation, FeCl₃ + MgO → Fe₂O₃ + MgCl₂, is not balanced. To determine whether a chemical equation is balanced, we must ensure that there are equal numbers of each type of atom on both the reactant and product sides. Let's count the atoms of each element in the reactants and products:

Fe (Iron): 1 atom in the reactants, 2 atoms in the products.Cl (Chlorine): 3 atoms in the reactants, 2 atoms in the products.Mg (Magnesium): 1 atom in the reactants, 1 atom in the products.O (Oxygen): 1 atom in the reactants, 3 atoms in the products.

As we can see, the numbers do not match for iron and chlorine, as well as oxygen. Thus, the equation must be balanced by adjustion coefficients to equalize the number of atoms for each element on both sides. The balanced equation would be 2FeCl₃ + 3MgO → Fe₂O₃ + 3MgCl₂.

If you were to remove an electron from a sodium atom that has eleven protons, what would be the electrical charge of the ion?

Answers

Answer:

positive one (+1)

Explanation:

sodium having atomic mass is twenty three (23) and atomic number is eleven (11).

Sodium atom having only one electron in it's outer most shell and it is easy for atom to lose this electron from outer most shell to make itself stable.

So after losing this electron positive charge on the upper right side of the atom will occur with the number of electron lose that is Na+1 .

What’s the formula for Lithium acetate

Answers

The chemical formula for lithium acetate is [tex]LiC_2H_3O_2[/tex]. It consists of one lithium ion [tex](Li^+)[/tex] and one acetate ion [tex](C_2H_3O_2^-)[/tex].

Lithium acetate is composed of lithium ions [tex](Li^+)[/tex] and acetate ions [tex](C_2H_3O_2^-)[/tex].

The formula indicates that for each lithium ion, there is one acetate ion. In chemical formulas, the subscripts indicate the number of atoms of each element present in the compound.

In this case, "Li" represents lithium, "C" represents carbon, "H" represents hydrogen, and "O" represents oxygen.

So, the formula [tex]LiC_2H_3O_2[/tex] indicates that there is one lithium atom, two carbon atoms, three hydrogen atoms, and two oxygen atoms in lithium acetate.

Select the correct arrows.
Which two arrows represent processes in the rock cycle that require heat and pressure?
igneous
rocks
the rock cycle
sedimentary
rocks
metamorphic
rocks
Answer fast

Answers

metamorphic needs to have heat and pressure

Answer:

Arrow from sedimentary to metamorphic

Arrow from igneous to metamorphic

Explanation:

Metamorphic rocks can only be created under high pressure and temperature/chemical involvement

determine the percent yield for carbon dioxide if 4.50 moles of propane yielded 7.64 moles of carbon dioxide

Answers

Answer:

Percent yield = 57%

Explanation:

Given data:

Number of moles of propane = 4.50 mol

Number of moles of carbon dioxide = 7.64 mol

Percent yield = ?

Solution:

Chemical equation:

C₃H₈ + 5O₂ → 3CO₂ + 4H₂O

Now we will compare the moles of propane and carbon dioxide.

                            C₃H₈            :            CO₂

                                 1               ;                3

                                  4.50        :              3×4.50 = 13.5 mol

Percent yield:

Percent yield = actual yield / theoretical yield × 100

Percent yield =  7.64 mol / 13.5 mol × 100

Percent yield = 0.57× 100

Percent yield = 57%

When liquid lemonade is placed in a freezer, its temperature slowly drops. Its molecules move less and less until they can only vibrate in a rigid structure.

Which of the following is another way to describe this process?

A.
Heat is removed from the lemonade, causing it to become a solid.
B.
Heat is added to the lemonade, causing it to become a solid.
C.
Heat is added to the lemonade, causing it to become a gas.
D.
Heat is removed from the lemonade, causing it to remain a liquid.

Answers

The answer is A the heat is removed because it’s freezing and now the lemonade is frozen which makes a solid

Answer:

(A) Removed and solid

Explanation:

What major factors play a role in global warming

Answers

Global warming is primarily driven by human activities that release greenhouse gases into the atmosphere.

The burning of fossil fuels (coal, oil, and natural gas) for energy production and transportation is the largest contributor, releasing carbon dioxide (CO₂) and methane (CH₄). Deforestation and land-use changes also play a significant role, as trees absorb CO₂, but their removal releases it back into the atmosphere.

Industrial processes, agriculture, and waste management release additional greenhouse gases. These gases trap heat in the Earth's atmosphere, leading to an increase in average global temperatures, disruptions in weather patterns, rising sea levels, and other climate-related impacts.

Learn more about Global warming, here:

https://brainly.com/question/12908180

#SPJ6

Given the following equation: Zn + 2HCI → H2 + ZnCl2
How many moles of HCl are needed to react with 0.50
moles of Zn?

Answers

Answer:

To react with 0.5 moles of zinc 1 mole of hydrochloric acid is required

Explanation:

Given data:

Number of moles of HCl = ?

Number of moles of Zn = 0.50 mol

Chemical equation:

Zn + 2HCl  → H₂ + ZnCl₂

Now we will compare the moles of zinc and HCl.

                       Zn       :        HCl

                         1        :            2

                       0.50   :         2×0.5 = 1 mol

So, to react with 0.5 moles of zinc 1 mole of hydrochloric acid is required.

Final answer:

To react with 0.50 moles of Zn, 1.0 mole of HCl is required according to the stoichiometry of the balanced chemical equation.

Explanation:

To determine how many moles of HCl are needed to react with 0.50 moles of Zn, we look at the balanced chemical equation:

Zn(s) + 2HCl(aq) → ZnCl₂(aq) + H₂(g)

According to the stoichiometry of the reaction, 1 mole of Zn reacts with 2 moles of HCl. Therefore, to react with 0.50 moles of Zn, we would need double that amount of HCl, which is 1.0 mole of HCl.

How many grams are in 1.25 moles of Potassium hydroxide, KOH?

1 point​

Answers

Answer:

There are 70 grams of KOH

Explanation:

First, we calculate the weight of 1 mol of KOH:

Weight 1 mol KOH: Weight K + Weight 0 + Weight H=  39g+ 1g+ 16g= 56 g/mol

1 mol-------56 g KOH

1,25 mol----x= (1,25 molx56 g KOH)/1 mol= 70 g KOH

How do we get mass number

Answers

Explanation:

The mass number of an element's atom is gotten by adding the number of protons and neutrons of the atom. Electrons have negligible mass compared to the protons and neutrons hence do not matter. The mass of a nuclear particle ( protons and the neutrons) is based on the 1/12 mass of carbon which is used as the standard for getting the mass of other elements.

If an element has isotopes the relative mass of the element is gotten by adding all the atomic mass numbers of the isotopes and dividing the sum by the number of isotopes.

Gas has a volume of 247.3 ML and is at 100 Celsius and 745MM HG. If the mass of the gas is 0.347G what is the molar mass of the vapor

Answers

Answer: The molar mass of the vapor comes out to be 43.83 g/mol. This problem is solved by using ideal gas equation. The ideal gas equation is shown below

[tex]\textrm{PV} =\textrm{nRT}[/tex]

Explanation:

Volume of gas = V = 247.3 mL  

V = 0.2473 L

Pressure of gas = P = 745 mmHg

1 atm = 760 mmHg

[tex]\textrm{P} = \displaystyle \frac{745}{760} \textrm{ atm} = 0.98026 \textrm{ atm}[/tex]

Temperature of gas = T = 100[tex]^{\circ}C[/tex] = 373 K

Given mass of gas = m = 0.347 g

Assuming molar mass of gas to be M g/mol

Assuming the gas to be an ideal gas, the ideal gas equation is shown below

[tex]\textrm{PV} =\textrm{nRT}[/tex]

Here, n is the number of moles of gas and R is the universal gas constant.

[tex]\textrm{PV} =\textrm{nRT} \\\textrm{PV} = \displaystyle \frac{m}{M}\textrm{RT} \\0.98026 \textrm{ atm}\times 0.2473 \textrm{ L} = \displaystyle \frac{0.347 \textrm{ g}}{M}\times 0.0821 \textrm{ L.atm.mol}^{-1}.K^{-1}\times 373 \textrm{ K} \\M = 43.83 \textrm{ g/mol}[/tex]

Hence, the molar mass of the vapor comes out to be 43.83 g/mol

4. According to Reference Table G, how many grams of KNO3 would be needed to saturate 200 grams of
water at 70°C?
(1) 43 g
(2) 86g
(3) 134 g
(4) 268 g

Answers

Answer:

The answer is choice (4) 268 g.

Explanation:

To find this answer you have to go to the reference table, using Table G, and go to KNO3 at 70°C. Find out how many grams saturate potassium nitrate (134 g). Then you double it (268 g ) because it's asking for grams at 200 grams of water.

2 C2H6 + 7 02 -> 4CO2 + 6H2O
If 15 g of C2H6 react with 45 g of O2, how many grams of water will be produced?

Answers

Answer:

Mass of water = 21.6 g

Explanation:

Given data:

Mass of C₂H₆ = 15 g

Mass of O₂ = 45 g

Mass of water produced = ?

Solution:

Chemical equation:

2C₂H₆ + 7O₂     →       4CO₂ + 6H₂O

Number of moles of C₂H₆:

Number of moles = mass/ molar mass

Number of moles = 15 g/ 30 g/mol

Number of moles = 0.5 mol

Number of moles of O₂ :

Number of moles = mass/ molar mass

Number of moles = 45 g/ 32 g/mol

Number of moles = 1.4 mol

Now we will compare the moles of C₂H₆ and O₂ with H₂O.

                           C₂H₆           :                H₂O

                             2               :                  6

                           0.5              :          6/2×0.5 = 1.5

                                                 

                            O₂              :                H₂O

                             7               :                  6

                           1.4               :           6/7×1.4 = 1.2

The number of moles of water produced by  oxygen are less so it will limiting reactant.

Mass of water produced:

Mass = number of moles × molar mass

Mass = 1.2 mol × 18 g/mol

Mass = 21.6 g

Analysis of a rock sample shows that it contains 6.25% of its original uranium-235. How old is the rock? How do you know?

Answers

Answer:

[tex]2.82\cdot 10^9 y[/tex]

Explanation:

A radioactive isotope is an isotope that undergoes nuclear decay, breaking apart into a smaller nucleus and emitting radiation during the process.

The half-life of an isotope is the amount of time it takes for a certain quantity of a radioactive isotope to halve.

For a radioactive isotope, the amount of substance left after a certain time t is:

[tex]m(t)=m_0 (\frac{1}{2})^{\frac{t}{\tau}}[/tex] (1)

where

[tex]m_0[/tex] is the mass of the substance at time t = 0

m(t) is the mass of the substance at time t

[tex]\tau[/tex] is the half-life of the isotope

In this problem, the isotope is uranium-235, which has a half-life of

[tex]\tau=7.04\cdot 10^8 y[/tex]

We also know that the amount of uranium left in the rock sample is 6.25% of its original value, this means that

[tex]\frac{m(t)}{m_0}=\frac{6.25}{100}[/tex]

Substituting into (1) and solving for t, we can find how much time has passed:

[tex]t=-\tau log_2 (\frac{m(t)}{m_0})=-(7.04\cdot 10^8) log_2 (\frac{6.25}{100})=2.82\cdot 10^9 y[/tex]

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