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Pressure and Temperature

Compressibili...

Question

Compressibility factor for 1 $m o l$ of a van der Waals gas at $0^{o} C$ and 100 atmospheric pressure is found to be 0.5, the volume of gas molecule is:

A

2.0224 L

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B

1.4666 L

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C

0.8542 L

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D

0.1119 L

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Solution

The correct option is D $0.1119 L$
$Z = \frac{P V_{m}}{R T}$
$0.5 = \frac{100 V_{m}}{0.082 \times 273}$
Thus, $V_{m} =$ $0.1119 L$

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