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 molV = 10 LT = 80 °CP = ?

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

n = 1 molV = 10 LT = 80 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 2 molV = 20 LT = 25 °CP = ?

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

n = 2 molV = 20 LT = 25 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
70 g of HeV = 30 LT = 90 °CP = ?

A tank of 30 L contains 70 g of He at 90 °C. Treat it as an ideal gas and find the pressure P.

m = 70 gM = 4.003 g/molV = 30 LT = 90 °CR = 8.314 J/(mol·K)
P = kPa
4.Medium
460 g of CH₄P = 200 kPaT = 100 °CV = ?

What volume V does 460 g of CH₄ occupy at 200 kPa and 100 °C? Treat it as an ideal gas.

m = 460 gM = 16.04 g/molP = 200 kPaT = 100 °CR = 8.314 J/(mol·K)
V = L
5.Hard
CH₄, M = 16.04 g/molP = 100 kPaT = 160 °Cρ = ?

Find the density ρ of CH₄ at 100 kPa and 160 °C, treating it as an ideal gas.

M = 16.04 g/molP = 100 kPaT = 160 °CR = 8.314 J/(mol·K)
ρ = kg/m³
6.Hard
State 1State 2

A fixed amount of CO₂ goes from 400 kPa, 2 L, 10 °C to 500 kPa and 160 °C. Find the new volume V2.

P1 = 400 kPaV1 = 2 LT1 = 10 °CP2 = 500 kPaT2 = 160 °C
V2 = L

Answer key

  1. 1. P = 293.6 kPa
  2. 2. P = 247.9 kPa
  3. 3. P = 1760 kPa
  4. 4. V = 444.9 L
  5. 5. ρ = 0.4454 kg/m³
  6. 6. V2 = 2.448 L

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