Will the rms speed of molecules of different gases at the same temperature be the same?

Explanation

IF c is the rms speed of 1 mol of a gas then `c=sqrt((3RT)/M)`.
The value of gas constant R is the same for 1 mol of different gases. But different gases have different molecular weights M,so at the same absolute temperature T, we have `c prop 1/sqrtM`. This means that the rms speed will not be the same for molcules for different gases,gases with higher molecular weight will have less molecular rms speed.