Question

Which statements about a sample of gas containing molecules of different masses are true?

Check all that apply.
__The rms speed depends only on temperature, and so all types of particles in the sample have the same rms speed.
__More-massive gas molecules in the sample have higher rms speed than less-massive ones.
__More-massive gas molecules in the sample have lower rms speed than less-massive ones.

Answer 1

Answer:

More-massive gas molecules in the sample have lower rms speed than less-massive ones.

Explanation:

The rms speed is defined as the prediction that how fast the molecule travel at a given temperature.

Mathematically, rms speed can be written as,

$v_{rms} =\sqrt{\frac{3RT}{M} }$

Here, T is the temperature, M is the mass of gas molecule.

Now from this it is clearly seen that rms speed is inversely related with mass of the gas molecule.

Therefore, gas molecule which posses more mass in the sample have smaller rms speed than less-massive ones.