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 = 15 LT = 120 °CP = ?

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

n = 5 molV = 15 LT = 120 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 3 molV = 10 LT = 145 °CP = ?

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

n = 3 molV = 10 LT = 145 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
390 g of CH₄P = 750 kPaT = 30 °CV = ?

What volume V does 390 g of CH₄ occupy at 750 kPa and 30 °C? Treat it as an ideal gas.

m = 390 gM = 16.04 g/molP = 750 kPaT = 30 °CR = 8.314 J/(mol·K)
V = L
4.Medium
300 g of ArV = 10 LT = 25 °CP = ?

A tank of 10 L contains 300 g of Ar at 25 °C. Treat it as an ideal gas and find the pressure P.

m = 300 gM = 39.95 g/molV = 10 LT = 25 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
N₂, M = 28.01 g/molP = 550 kPaT = 40 °Cρ = ?

Find the density ρ of N₂ at 550 kPa and 40 °C, treating it as an ideal gas.

M = 28.01 g/molP = 550 kPaT = 40 °CR = 8.314 J/(mol·K)
ρ = kg/m³
6.Hard
Ar, M = 39.95 g/molP = 600 kPaT = 70 °Cρ = ?

Find the density ρ of Ar at 600 kPa and 70 °C, treating it as an ideal gas.

M = 39.95 g/molP = 600 kPaT = 70 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 1090 kPa
  2. 2. P = 1043 kPa
  3. 3. V = 81.71 L
  4. 4. P = 1861 kPa
  5. 5. ρ = 5.917 kg/m³
  6. 6. ρ = 8.402 kg/m³

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