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.

Question

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. (A) Statement-1 is True, Statement-2 is True; Statement- 2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement- 1 is False, Statement- 2 is True

Tardigrade Admin · Accepted Answer

We have (1/2) overlineM c2=(3/2) R T=(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.

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.

Statement-1 is True, Statement-2 is True; Statement- 2 is a correct explanation for Statement-1

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

Statement-1 is True, Statement-2 is False

Statement- 1 is False, Statement- 2 is True

We have
$\frac{1}{2} \overline{M c^{2}} = \frac{3}{2} RT = \frac{3}{2} P V$
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.

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.