Prove that the rate of diffusion of a gas is inversely proportional to the square root of its density.

Prove that at a certain pressure, the rate of diffusion of a gas is proportional to the square root of the absolute temperature of the gas.

This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement - I : Rate of diffusion of N_2O and CO_2 are same at constant temperature. Statement -II: Rate of diffusion of a gas is inversely proportional to square root of molecular mass at constant temperature.

Under what conditions the density of a gas is directly proportional to its pressure ?

If a body remains floating on a liquid, then what fraction of its volume remains immersed in the liquid? Or, Prove that the immersed part of a body floating in a liquid is directly proportional to the density of the body.

If the area of a circle increases uniformly, then show that the rate of increment of its circumference is inversely proportional to its radius.

The mean free path of molecules of a gas (radius r) is inversely proportional to

Prove that at constant volume of a gas is directly propostional to its absolute temperature.

Prove that the average kinetic energy of a molecule of an ideal gas is direcly proportional to the absolute temperature of the gas.

According to Boyle's law, at constant temperature, the volume of a given mass of gas is inversely proportional to its pressure. But when a balloon is filled with air, both volume and pressure of the gas inside it increase-explain.