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 = 2 molV = 40 LT = 125 °CP = ?

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

n = 2 molV = 40 LT = 125 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 0.5 molV = 5 LT = 25 °CP = ?

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

n = 0.5 molV = 5 LT = 25 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
490 g of N₂P = 100 kPaT = 40 °CV = ?

What volume V does 490 g of N₂ occupy at 100 kPa and 40 °C? Treat it as an ideal gas.

m = 490 gM = 28.01 g/molP = 100 kPaT = 40 °CR = 8.314 J/(mol·K)
V = L
4.Medium
450 g of ArV = 30 LT = 25 °CP = ?

A tank of 30 L contains 450 g of Ar at 25 °C. Treat it as an ideal gas and find the pressure P.

m = 450 gM = 39.95 g/molV = 30 LT = 25 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
Ar, M = 39.95 g/molP = 350 kPaT = 180 °Cρ = ?

Find the density ρ of Ar at 350 kPa and 180 °C, treating it as an ideal gas.

M = 39.95 g/molP = 350 kPaT = 180 °CR = 8.314 J/(mol·K)
ρ = kg/m³
6.Hard
CH₄, M = 16.04 g/molP = 150 kPaT = 20 °Cρ = ?

Find the density ρ of CH₄ at 150 kPa and 20 °C, treating it as an ideal gas.

M = 16.04 g/molP = 150 kPaT = 20 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 165.5 kPa
  2. 2. P = 247.9 kPa
  3. 3. V = 455.5 L
  4. 4. P = 930.7 kPa
  5. 5. ρ = 3.711 kg/m³
  6. 6. ρ = 0.9872 kg/m³

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