Question

Assertion :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 volume. Reason: The molecules of gas collide with each other and the velocities of the molecules change due to the collision.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

The total translational kinetic energy of all molecules of an ideal gas is given by:

$T=\frac{3}{2}NkT$

$=\frac{3}{2}PV$ (Since for an ideal gas $PV=nRT=NkT$)

Hence assertion is correct.

Also it is true that molecules of gas collide with each other and the velocities of the molecules change due to the collision, and an average root mean square speed is treated as a characteristic of the gas.