Worksheet: Standard Molar Gas Volumes

In this worksheet, we will practice calculating the molar volume of a gas from the gas volume and number of moles under standard conditions.

Q1:

What is the equation relating the volume of a gas, 𝑉, to the number of moles of the gas, 𝑛, and its molar volume, 𝑉?

  • A𝑉=𝑉𝑛
  • B𝑉=𝑉
  • C𝑉=𝑛
  • D𝑉=𝑛𝑉
  • E𝑉=𝑛𝑉

Q2:

To 2 significant figures, what is the volume of 2.0 mol of oxygen (O)2 at room temperature and pressure (RTP)?

Q3:

At room temperature and pressure (RTP), a sample of oxygen (O)2 occupies a volume of 10.0 L. How many moles of gas molecules are present, to 3 significant figures?

Q4:

Which of the following is the correct definition of room temperature and pressure (RTP)?

  • A25C, 1 atm
  • B20C, 1 bar
  • C0C, 1 bar
  • D25C, 1 bar
  • E20C, 1 atm

Q5:

What is the volume of 4.50 mol of nitrogen (N)2 at room temperature and pressure (RTP), to 3 significant figures?

Q6:

What volume would 56.0 g of nitrogen trifluoride occupy at room temperature and pressure (RTP), to 3 significant figures?

Q7:

What is the molar volume of a gas at room temperature and pressure, to 2 significant figures?

Q8:

Sulfur hexafluoride is a relatively dense gas. What volume would 100 g of sulfur hexafluoride occupy at room temperature and pressure (RTP), to 3 significant figures? The molar mass of sulfur hexafluoride is 146 g/mol.

Q9:

Methane reacts with steam to produce carbon monoxide and hydrogen, according to the following chemical equation. CH()+HO()CO()+3H()422gggg

What volume of H2, at room temperature and pressure (RTP), would 6 g of methane produce?

Q10:

An industrial company wants to produce dimethyl ether (CHOCH)33 through the dehydration of methanol represented by the following equation. 2CHOHCHOCH+HO3332

What mass of methanol would the company need to use to produce 1,200 dm3 of dimethyl ether at room temperature and pressure? Give your answer in units of kilograms.

Q11:

Which of the following statements best describes molar volume?

  • AThe volume that 1 gram of gas takes up
  • BThe volume that 1 atm of gas takes up
  • CThe volume that 1 liter of gas takes up
  • DThe volume that 1 mole of gas takes up

Q12:

At room temperature and pressure (RTP), how many moles are there in 91,200 cm3 of PH3 gas?

Q13:

A small balloon requires 9.3 liters of helium gas, at room temperature and pressure, to lift a 10 g object. Would 0.4 moles of helium gas be enough to lift the object?

  • ANo
  • BYes

Q14:

Dinitrogen tetroxide (NO)24 can undergo a reversible reaction under RTP (room temperature and pressure) to make nitrogen dioxide (NO)2. NO()2NO()242gl What mass of nitrogen dioxide would be produced from the complete reaction of 2 dm3 of NO24? Give your answer to 1 decimal place.

Q15:

A student is attempting to calculate the molar volume of 1 mole of hydrogen gas at room temperature and pressure. They react magnesium with hydrochloric acid and measure the volume of gas produced. The experimental setup and table of results are shown below.

ExperimentMass of Magnesium (g)Volume of Gas (cm3)
10.03 g28.5

Using the information in the table, what is the experimental molar volume of hydrogen gas at room temperature and pressure? Give your answer to 2 significant figures.

What volume of hydrogen gas would theoretically give the exact molar volume of a gas at room temperature and pressure? Give your answer to the nearest whole number and in cubic centimeters.

Q16:

When under nonstandard conditions, 1,240 cm3 of neon gas was found to have a mass of 1.36 g. What is the molar volume of neon gas under these conditions? Give your answer to 3 significant figures.

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