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 = 50 LT = 100 °CP = ?

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

n = 0.5 molV = 50 LT = 100 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 2.5 molV = 15 LT = 40 °CP = ?

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

n = 2.5 molV = 15 LT = 40 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
70 g of CH₄V = 30 LT = 65 °CP = ?

A tank of 30 L contains 70 g of CH₄ at 65 °C. Treat it as an ideal gas and find the pressure P.

m = 70 gM = 16.04 g/molV = 30 LT = 65 °CR = 8.314 J/(mol·K)
P = kPa
4.Medium
110 g of CH₄V = 50 LT = 60 °CP = ?

A tank of 50 L contains 110 g of CH₄ at 60 °C. Treat it as an ideal gas and find the pressure P.

m = 110 gM = 16.04 g/molV = 50 LT = 60 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
CH₄, M = 16.04 g/molP = 700 kPaT = 10 °Cρ = ?

Find the density ρ of CH₄ at 700 kPa and 10 °C, treating it as an ideal gas.

M = 16.04 g/molP = 700 kPaT = 10 °CR = 8.314 J/(mol·K)
ρ = kg/m³
6.Hard
Ar, M = 39.95 g/molP = 1000 kPaT = 50 °Cρ = ?

Find the density ρ of Ar at 1000 kPa and 50 °C, treating it as an ideal gas.

M = 39.95 g/molP = 1000 kPaT = 50 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 31.02 kPa
  2. 2. P = 433.9 kPa
  3. 3. P = 409 kPa
  4. 4. P = 379.9 kPa
  5. 5. ρ = 4.77 kg/m³
  6. 6. ρ = 14.87 kg/m³

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