Question

An ideal gas is filled in a perfectly closed container, Now the gas is heated at constant volume. Identify which of the following properties of the gas increases as the temperature of the gas increases ?

• A. The atomic mass of the atoms in the molecules
• B. The number of molecules
• C. The density of the gas
• D. The pressure exerted by the molecule on the walls of the container
• E. The average space between the molecules

Answer 1

The correct option is D The pressure exerted by the molecule on the walls of the container

Pressure of a gas, on the walls of a container is given by

$P=1/3\rho C^2$ where $\rho =$density of gas ,$C=$ rms speed of gas molecule

Now $C^2\propto T$

when temperature increases , $C$ increases and as a result of this pressure $P$ on walls will increase.