Question

The compressiblity factor for a real gas at high pressure is:

1 + \frac{R T}{P b}

1 + \frac{P b}{R T}

1 - \frac{P b}{R T}

Solution

The correct option is A $1 + \frac{P b}{R T}$
The van der Waals' equation is given as
$(P + \frac{a}{V^{2}}) (V - b) = R T$ (for 1 mol of gas)

At high pressure, $\frac{a}{V^{2}}$ term can be neglected, since P is large.

$P V - P b = R T$
or $P V = R T + P b$

$\frac{P V}{R T} = 1 + \frac{P b}{R T}$

$Z$ $=$ $1 + \frac{P b}{R T}$

Chemistry

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