Assertion :Compressibility factor $Z$ for van der Waals' gases at critical conditions shows more deviations than normal conditions, $i . e .$ , $Z = \frac{3}{8}$ . Reason: At critical conditions, van der Waals' equation is not accurate.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
As we know,
$V_{c} = 3 b, T_{c} = \frac{8 a}{27 R b}, P_{c} = \frac{a}{27 b^{2}}$
So at critical point,
$Z = P V / R T = 3 / 8$
So compressibility factor ' $Z$ ' for van der Waals' gases at critical conditions shows more deviations than normal conditions because vander waal's equation is not accurate here.

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