chemistry chemistry chemistry

GAS LAW PROBLEM

1. Benzene is a non ideal gas. Its van der Waals parameters are a = 18.24 atm L²/mol and b = 0.1154 L/mol. Find its compression factor, Z, at 100°C. (It boils at 80°C!)

Plan Z = pV/RT at 1 atm and 373 K requires knowledge of V.

Therefore calculate V using V = b + RT/(p + a/V²) solve by successive approximations.

The first guess should be
V° = RT/p = 0.08206 atm L mol^-1 K^-1 × 373 K / 1 atm = 30.61 L

V = 0.1154 L + 30.61 L atm / (1 + 18.24/V²) atm

Calculated V 30.12