Answer to Question #214349 in Molecular Physics | Thermodynamics for Wavie

Question

Determine the mass of air in a vacant room whose dimensions are 4m × 5m × 6m at 100 kPa and 25°C.

Answer 1

$pV=\frac mMRT,$

$m=\frac{pabcM}{RT}=\frac{10^5\cdot 4\cdot 5\cdot 6\cdot 29\cdot 10^{-3}}{8.31\cdot 298}=140.5~kg.$