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 = 1.5 molV = 20 LT = 35 °CP = ?

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

n = 1.5 molV = 20 LT = 35 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 1 molV = 25 LT = 10 °CP = ?

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

n = 1 molV = 25 LT = 10 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
500 g of O₂V = 30 LT = 45 °CP = ?

A tank of 30 L contains 500 g of O₂ at 45 °C. Treat it as an ideal gas and find the pressure P.

m = 500 gM = 32 g/molV = 30 LT = 45 °CR = 8.314 J/(mol·K)
P = kPa
4.Medium
230 g of ArV = 5 LT = 45 °CP = ?

A tank of 5 L contains 230 g of Ar at 45 °C. Treat it as an ideal gas and find the pressure P.

m = 230 gM = 39.95 g/molV = 5 LT = 45 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
Ar, M = 39.95 g/molP = 800 kPaT = 40 °Cρ = ?

Find the density ρ of Ar at 800 kPa and 40 °C, treating it as an ideal gas.

M = 39.95 g/molP = 800 kPaT = 40 °CR = 8.314 J/(mol·K)
ρ = kg/m³
6.Hard
CH₄, M = 16.04 g/molP = 700 kPaT = 200 °Cρ = ?

Find the density ρ of CH₄ at 700 kPa and 200 °C, treating it as an ideal gas.

M = 16.04 g/molP = 700 kPaT = 200 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 192.1 kPa
  2. 2. P = 94.16 kPa
  3. 3. P = 1378 kPa
  4. 4. P = 3046 kPa
  5. 5. ρ = 12.28 kg/m³
  6. 6. ρ = 2.854 kg/m³

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