From kinetic gas equaton, show that total kinetic energy of 1 mol of ideal gas is 3/2RT.

Find an expression for the total kinetic energy of a rolling body.

Show that the pressure exerted by unit volume of a perfect gas is equal to two thirds of the total kinetic energy of the gas molecules.

Find the ratio of total kinetic energy to the rotational kinetic energy of a rolling sphere moving along a horizontal plane.

Internal energy of a gram molecule of ideal gas depends on

(a) A child stands at the centre of a turntable with his two arms outstretched. The turntable is set rotating with an angular speed of 40 rev/min. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment of inertia to 2/5 times the initial value? Assume that the turntable rotates without friction. (b) Show that the child’s new kinetic energy of rotation is more than the initial kinetic energy of rotation. How do you account for this increase in kinetic energy?

What is the average kinetic energy per molecule of a monoatomic gas?

Deduce the equation of state for n mol of an ideal gas.

Two discs of moments of inertia /, and l2 about their respective axes (normal to the disc and passing through the centre), and rotating with angular speeds omega and omega are brought into contact face to face with their axes of rotation coincident, (a) What is the angular speed of the two-disc system? (b) Show that the kinetic energy of the combined system is less than the sum of the initial kinetic energies of the two discs. How do you account for this loss in energy? Take . omega ne omega

At what temperature would the kinetic energy of a gas molecule be zero?

Calculate the total translational KE of 3 molecules of an ideal gas at 227^0 C.