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Boyle's Law

Critical temp...

Question

Critical temperature and pressure of a real gas is $27^{o} C$ and 75 atm respectively. The critical volume of 1 mole of real gas is :

A

12.47 litre

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B

0.12 litre

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C

1.24 litre

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D

data insufficient

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Solution

The correct option is B 0.12 litre
$Z_{C} = \frac{P_{C} . V_{C}}{R T_{C}}$

Given $P_{C} = 75 a t m, T_{C} = 27 + 273 = 300$
$V_{C} = ?, m o l e = 1$

$\frac{3}{8} = \frac{75 \times V_{C}}{0.0821 \times 300}$

$V_{C} = \frac{3}{8} \times \frac{24.63}{75}$

$= 0.12$

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