If the root mean square speed of gas molecules is doubled,then both its pressure and its absolute temperature will also be doubled.

Question

Quizplus · Accepted Answer

The speed of gas molecules is directly proportional to the square root of temperature. If the root mean square speed of gas molecules is doubled, the temperature will increase by a factor of four (T2/T1 = (v2/v1)^2). Therefore, if the pressure remains constant, the volume of the gas will decrease by a factor of four (Boyle's Law). However, if the volume remains constant, the pressure will increase by a factor of four (Charles's Law). Therefore, doubling the speed of gas molecules will not necessarily double both its pressure and absolute temperature, but the outcome will depend on the conditions of the gas.

If the Root Mean Square Speed of Gas Molecules Is