Question

The root mean square speed of molecules of mass 'm'at
temperature T is:​

Answer 1

Answer:

Root mean square speed,

$Vrms= \sqrt{3RT/M}$

Answer 2

Answer:

$\sqrt{\frac{3RTn}{m} }$

Explanation:

Step 1:

R.M.S speed of molecule is= $\sqrt{\frac{3RT}{M} }$

where M is the molar mass of the given gas.

No of moles(n)= $\frac{Given Mass(m)}{Molecular Mass(M)}$

n=$\frac{m}{M}$

so M=$\frac{m}{n}$

Step 2:

Substituting Value of M in the R.M.S speed formula,

=$\sqrt{\frac{3RTn}{m} }$

where n is number of moles.