Q.
STATEMENT-1: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume
because
STATEMENT-2: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.
JEE AdvancedJEE Advanced 2007
Solution:
We have
$\frac{1}{2} \overline{M {c^{2}}}=\frac{3}{2} R T=\frac{3}{2} P V$
where $M$ is the molar mass. Statement-$2$ is a fundamental statement which leads to the above relation, on applying the kinetic theory of gases and statistical manipulations.
