Question

Pick the correct statements(s) :

• A. The rms translational speed for all ideal-gas molecules at the same temperature is not the same but it depends on the molecular mass.
• B. Each particle in a gas has average translational kinetic energy and the equation $\frac{1}{2}m{v}_{ms}^2=\frac{3}{2}kT$ establishes the relationship 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 ${100}^{o}C$ to ${200}^{o}C$. 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 1

The correct option is A The rms translational speed for all ideal-gas molecules at the same temperature is not the same but it depends on the molecular mass.

We know that

$V_{rms}=\sqrt{\frac{3RT}{M}}=\sqrt{\frac{3RT}{m{N}_A}}$

$V_{rms}=\sqrt{\frac{3KT}{m}}$

Here

T=temperture

m=mass

rms translational speed is depend on mass and temperature Therefore, option A is correct option