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Q. Statement 1: The numerical values of $P_{c}, V_{c}$, and $T_{c}$ are $\frac{a}{27b^{2}}, 3b$ and $\frac{8a}{27\,RB}$ respectively
Statement 2:The compressibility factor $Z$ at critical conditions is $3/8$

States of Matter

Solution:

$\frac{RT_{c}}{P_{c} V_{c}}$
$=\frac{R \times8a\times27b^{2}}{27RT\times a\times3b}$
$=\frac{8}{3}$