For a van der waals gas, the critical temperature is 150K and the critical pressure is 500 bar. If the volume occupied by each gas molecule is $X \times 10^{- 29} d m^{3}$ , the value $\frac{X}{25}$ is _____.

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answer is 5.

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Detailed Solution

$\frac{P_{c} V_{c}}{R T_{c}} = \frac{3}{8}$ ; $V_{c} = \frac{3 R T}{8 P} = \frac{3 \times 0.08 \times 150}{8 \times 500} = 0.09$

$b = \frac{V_{c}}{3} = 4 N_{A} V$

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