Pick the correct statement (s) :

Options

A. The rms translational speed for all ideal-gas molecules at the same temperature is not the same but it depends on the mass.
B. Each particle in a gas has average translational kinetic energy and the equation `(1)/(2)mv_(max)^(2) = (3)/(2)kT` establishes the relatiship between the average translational kinetic energy per particle and temperature of an ideal gas. It can be concluded that single particle has a temperature
C. Temperature of an ideal gas is doubled from `100^(@)C to 200^(@)C`. The average kinetic energy of each particle is also doubled.
D. It is possible for both the pressure and volume of a monoatomic ideal gas to change simultaneously without causing the internal energy of the gas to change.

Answer

A, D

Explanation

`V_(r.m.s.) = sqrt((3kT)/(m))`
Since `PV = nRt` therefore `P` and `V` both can change simultaneously keeping temperature constant.