Question

If P is the pressure of gas, then the kinetic energy per unit volume of the gas is:

• A. $P/2$
• B. $P$
• C. $3P/2$
• D. $2P$

Answer 1

Answer: (C)

$3P/2$

$K.E=\frac{3}{2}nRT$

From the Ideal gas law equation,

$PV=nRT$

On substituting the values, we get-

$K.E=\frac{3PV}{2}$

Kinetic energy per unit volume, $\frac{K.E.}{V}=\frac{3P}{2}$

Hence, option $C$ is correct.