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Worksheet: Combined Gas Equation

In this worksheet, we will practice using the combined gas equation to relate the pressure, volume, and temperature of two systems and to calculate unknowns.

Q1:

For a fixed quantity of an ideal gas at constant volume, which graph depicts the expected relationship between pressure ( 𝑃 ) and temperature ( 𝑇 ) ?

  • A
  • B
  • C
  • D

Q2:

Nitrogen and hydrogen can react together to form ammonia according to the equation

Ammonia is an important fertilizer and industrial chemical. Suppose that a volume of 683 billion cubic feet of gaseous ammonia, measured at 2 5 ∘ C and 1 atm, was manufactured. What volume of H ( ) 2 g , measured under the same conditions, was required to prepare this amount of ammonia by reaction with N 2 ?

  • A 8 3 0 b i l l i o n ft3
  • B 4 5 5 b i l l i o n ft3
  • C 2 . 0 4 Γ— 1 0 3 b i l l i o n ft3
  • D 1 . 0 2 Γ— 1 0 3 b i l l i o n ft3
  • E 1 . 3 2 Γ— 1 0 3 b i l l i o n ft3

Q3:

A cylinder of medical oxygen has a volume of 35.4 L and contains O 2 at a pressure of 151 atm and a temperature of 2 5 ∘ C . Calculate to 3 significant figures the volume of this quantity of O 2 at normal body conditions, 1.00 atm and 3 7 ∘ C .

Q4:

A spray can is used until it is empty except for the propellant gas, which has a pressure of 1 3 4 4 torr at 2 3 . 0 ∘ C . If the can is thrown into a fire ( 𝑇 = 4 7 5 ) ∘ C , what will the pressure be in the hot can?

  • A 7 . 7 6 Γ— 1 0 3 torr
  • B 2 . 7 8 Γ— 1 0 4 torr
  • C 1 . 0 0 Γ— 1 0 3 torr
  • D 3 . 4 0 Γ— 1 0 3 torr
  • E 9 . 0 1 Γ— 1 0 3 torr

Q5:

For a fixed quantity of an ideal gas at constant temperature, which graph depicts the expected relationship between pressure ( 𝑃 ) and volume ( 𝑉 ) ?

  • A
  • B
  • C
  • D

Q6:

A 2.50 L volume of hydrogen measured at βˆ’ 1 9 6 ∘ C is warmed to 1 0 0 ∘ C . Calculate the volume of the gas at the higher temperature, assuming there is no change in pressure.

Q7:

A balloon with a volume of 100.21 L at 2 1 . 0 ∘ C and 0.981 atm is released and rises to a higher altitude. If the final volume of the balloon is 144.53 L at a temperature of 5 . 2 4 ∘ C , what is the pressure inside the balloon at its final altitude?

Q8:

A sample of carbon dioxide, C O 2 , occupies 0.300 L at 1 0 ∘ C and 1 bar. What volume will the gas have at 3 0 ∘ C and 1 bar, assuming C O 2 behaves as an ideal gas?

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