Question

Relation between pressure $(P)$ and energy $(E)$ for a unit volume of gas :

• A. $E=\frac{3}{2}p$
• B. $E=\frac{2}{3}p$
• C. $E=\frac{p}{3}$
• D. $E=3p$

Answer 1

Answer: (A)

According to gas equation $PV=RT$
Kinetic energy of gas $E=\frac{3}{2}RT$
$\therefore PV=\frac{2}{3}E$
$V=1$
$\therefore P=\frac{2}{3}E$
$\Rightarrow E=\frac{3}{2}P$