States of Matter - Result Question 23
####23. Internal energy and pressure of a gas per unit volume are related as :
(a) $P=\frac{2}{3} E$
(b) $P=\frac{3}{2} E$
(c) $P=\frac{1}{2} E$
(d) $P=2 E$
[1993]
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Solution:
(a) $\quad P V=\frac{1}{3} m n u^{2}=\frac{1}{3} M u^{2}$
$=\frac{2}{3} \cdot \frac{1}{2} M u^{2}=\frac{2}{3} E$ or $P=\frac{2}{3} E$ per unit vol.