Question

If the mean kinetic energy per unit volume of a gas is n times its pressure, then the value of n is

• A. 4.5
• B. 3.5
• C. 2.5
• D. 1.5

Answer 1

The correct option is D 1.5

Mean kinetic energy of a gas = $\frac{1}{2}M{V}_{rms}^2$

$=\frac{1}{2}\times M\times \frac{3PV}{M}$

$=\frac{3}{2}PV$

Mean kinetic energy per unit volume=$\frac{3}{2}P$