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 = 25 LT = 70 °CP = ?

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

n = 1.5 molV = 25 LT = 70 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 2.5 molV = 10 LT = 65 °CP = ?

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

n = 2.5 molV = 10 LT = 65 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
100 g of O₂P = 300 kPaT = 5 °CV = ?

What volume V does 100 g of O₂ occupy at 300 kPa and 5 °C? Treat it as an ideal gas.

m = 100 gM = 32 g/molP = 300 kPaT = 5 °CR = 8.314 J/(mol·K)
V = L
4.Medium
410 g of CH₄P = 400 kPaT = 0 °CV = ?

What volume V does 410 g of CH₄ occupy at 400 kPa and 0 °C? Treat it as an ideal gas.

m = 410 gM = 16.04 g/molP = 400 kPaT = 0 °CR = 8.314 J/(mol·K)
V = L
5.Hard
State 1State 2

A fixed amount of Ar goes from 100 kPa, 20 L, 40 °C to 550 kPa and 140 °C. Find the new volume V2.

P1 = 100 kPaV1 = 20 LT1 = 40 °CP2 = 550 kPaT2 = 140 °C
V2 = L
6.Hard
CH₄, M = 16.04 g/molP = 600 kPaT = 50 °Cρ = ?

Find the density ρ of CH₄ at 600 kPa and 50 °C, treating it as an ideal gas.

M = 16.04 g/molP = 600 kPaT = 50 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 171.2 kPa
  2. 2. P = 702.8 kPa
  3. 3. V = 24.09 L
  4. 4. V = 145.1 L
  5. 5. V2 = 4.798 L
  6. 6. ρ = 3.582 kg/m³

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