The compressibility factor for a real gas at high pressure is

Engineering

Chemistry

Vander Waal Gas and compressibility Factor

Question

1 + RT/pb

1 – pb/RT

1 + pb/RT

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At high pressure : $(P + \frac{a}{V^{2}}) \approx P$

$∴ (P + \frac{a}{V^{2}}) (V - b) = RT$

Reduce to P(V –b) = RT

or PV = RT + bP

$∴ Z = \frac{PV}{RT} = 1 + \frac{bP}{RT}$