← Topic 15INTERACTIVE REVISION

Ideal-gas toolkit

Change the values, predict the result, and then use the calculated answer to check your reasoning.

Ideal gas state

Use p = nRT/V. Enter SI values.

Pressure9.972e+4 Pa

Change of state

For a fixed amount, p₁V₁/T₁ = p₂V₂/T₂.

Final pressure160.00 kPa

Mean molecular energy

At temperature T, ⟨Eₖ⟩ = 3kT/2.

At 300 K6.210e-21 J

Every ideal gas has this same mean translational energy at the same temperature.

Root-mean-square speed

Use cᵣₘₛ = √(3RT/M), with M in kg mol⁻¹.

At 300 K516.8 m s⁻¹

Try helium, M = 0.0040, and nitrogen, M = 0.028.