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.



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