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 = 5 molV = 40 LT = 135 °CP = ?

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

n = 5 molV = 40 LT = 135 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 1.5 molV = 15 LT = 140 °CP = ?

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

n = 1.5 molV = 15 LT = 140 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
170 g of O₂V = 50 LT = 5 °CP = ?

A tank of 50 L contains 170 g of O₂ at 5 °C. Treat it as an ideal gas and find the pressure P.

m = 170 gM = 32 g/molV = 50 LT = 5 °CR = 8.314 J/(mol·K)
P = kPa
4.Medium
360 g of CO₂P = 100 kPaT = 85 °CV = ?

What volume V does 360 g of CO₂ occupy at 100 kPa and 85 °C? Treat it as an ideal gas.

m = 360 gM = 44.01 g/molP = 100 kPaT = 85 °CR = 8.314 J/(mol·K)
V = L
5.Hard
CH₄, M = 16.04 g/molP = 600 kPaT = 40 °Cρ = ?

Find the density ρ of CH₄ at 600 kPa and 40 °C, treating it as an ideal gas.

M = 16.04 g/molP = 600 kPaT = 40 °CR = 8.314 J/(mol·K)
ρ = kg/m³
6.Hard
N₂, M = 28.01 g/molP = 600 kPaT = 160 °Cρ = ?

Find the density ρ of N₂ at 600 kPa and 160 °C, treating it as an ideal gas.

M = 28.01 g/molP = 600 kPaT = 160 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 424.2 kPa
  2. 2. P = 343.5 kPa
  3. 3. P = 245.7 kPa
  4. 4. V = 243.6 L
  5. 5. ρ = 3.697 kg/m³
  6. 6. ρ = 4.667 kg/m³

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