Ideal gas law worksheet with answers

Free printable Ideal gas law worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
n = 0.5 molV = 20 LT = 40 °CP = ?

A rigid tank holds an ideal gas. Find its pressure P.

n = 0.5 molV = 20 LT = 40 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 5 molV = 20 LT = 105 °CP = ?

A rigid tank holds an ideal gas. Find its pressure P.

n = 5 molV = 20 LT = 105 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
460 g of CH₄V = 30 LT = 80 °CP = ?

A tank of 30 L contains 460 g of CH₄ at 80 °C. Treat it as an ideal gas and find the pressure P.

m = 460 gM = 16.04 g/molV = 30 LT = 80 °CR = 8.314 J/(mol·K)
P = kPa
4.Medium
210 g of CH₄P = 350 kPaT = 85 °CV = ?

What volume V does 210 g of CH₄ occupy at 350 kPa and 85 °C? Treat it as an ideal gas.

m = 210 gM = 16.04 g/molP = 350 kPaT = 85 °CR = 8.314 J/(mol·K)
V = L
5.Hard
O₂, M = 32 g/molP = 800 kPaT = 0 °Cρ = ?

Find the density ρ of O₂ at 800 kPa and 0 °C, treating it as an ideal gas.

M = 32 g/molP = 800 kPaT = 0 °CR = 8.314 J/(mol·K)
ρ = kg/m³
6.Hard
State 1State 2

A fixed amount of He goes from 400 kPa, 2 L, 40 °C to 300 kPa and 110 °C. Find the new volume V2.

P1 = 400 kPaV1 = 2 LT1 = 40 °CP2 = 300 kPaT2 = 110 °C
V2 = L

Answer key

  1. 1. P = 65.09 kPa
  2. 2. P = 786 kPa
  3. 3. P = 2807 kPa
  4. 4. V = 111.4 L
  5. 5. ρ = 11.27 kg/m³
  6. 6. V2 = 3.263 L

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