SATHEE: States of Matter - Result Question 23

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]

Show Answer

Solution:

(a) $P V = \frac{1}{3} m n u^{2} = \frac{1}{3} M u^{2}$

$= \frac{2}{3} \cdot \frac{1}{2} M u^{2} = \frac{2}{3} E$ or $P = \frac{2}{3} E$ per unit vol.

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