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  4. The critical constants PC TC for methane are 45 atm and 180 K . The correct statement is -

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Q. The critical constants $P_{C}$ & $T_{C}$ for methane are $45 \, atm$ and $180 \, K$ . The correct statement is -

NTA AbhyasNTA Abhyas 2020States of Matter

Solution:

The critical constants $P_{C} \& T_{C}$ for methane are $45 atm$ and $180 K$.
Therefore, $P _{ C }=\frac{ a }{27 b ^{2}}, T _{ C }=\frac{8 a }{27 Rb }$
$\Rightarrow \frac{P_{C}}{T_{C}}=\frac{R}{8 b}$
$\Rightarrow b=0.04 \frac{L}{mol}$.