From the kinetic theory of gas, prove that `P= frac(2)(3)E`, where E is the kinetic energy per unit volume of the gas.

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

Relation between prepssure P and average kinetic energy E per unit volume of a gas is

Write the dimesnion of a xx b in the relation E = frac(b - x^2)(ab) where E is the energy and x is the distance.

A body is projected such that its kinetic energy at the top of its trajectory is frac(3)(4) of its initial kinetic energy. What is the angle of projection of the projectile?

Show how the result of kinetic theory of gas leads to a relation between temperature of a gas and the average translational Kinetic energy of a gas molecule.

The blades of a windmill sweep out a circle of area A. (a) If the wind flows at a velocity v perpendicular to the circle, what is the mass of the air passing through it in time f?(b) What is the kinetic energy of the air? (c) Assume that the windmill converts 25% of the wind’s energy into electrical energy, and that A = 30 m^- 2 , v = 36 km/h and the density of air is 1.2 kg m^-3 . What is the electrical power produced?

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.

Derive the gas equation for a perfect gas on the basis kinetic theory.

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

The mean kinetic energy of a perfect gas molecule at temperature TK is