Question

An ideal gas is enclosed in a perfectly closed box.On increasing the temperature of the gas, which property of the gas does not change?

• A. Volume
• B. Pressure
• C. The average speed of the molecules
• D. The rate of collisions of the molecules with each other
• E. The rate of collisions of the molecules with the walls of the container

Answer 1

The correct option is A Volume

On increasing the temperature of gas, the gas molecules go far from each other but due to a closed box they don't have extra space to go anywhere , therefore volume of gas remains constant.

Now ,by Gay-lussac' law we know that pressure of a gas increases due to increase in its temperature , so pressure will increase.

The root mean square speed of a gas is $v_{rms}\propto \sqrt{T}$ , therefore average speed increases .

Due to increase in speed of molecules , they will do more collisions in per unit time , so the rate of collisions , with each other and with wall increases.