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Q.

At low pressures (for 1 mole), the van der Waal's equation is written as $[p + \frac{a}{V^{2}}] V = R T$ The compressibility factor is then equal to :

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a

$(1 - \frac{a}{R T V})$

b

$(1 + \frac{R T V}{a})$

c

$(1 + \frac{a}{R T V})$

d

$(1 - \frac{R T V}{a})$

answer is A.

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Detailed Solution

$Z = \frac{PV}{RT}$ is the compressibility factor

$\frac{PV}{RT} = (1 - \frac{a}{RTV})$ is the result of the van der Waal's equation.

So, option A is correct answer.

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