Question

The molecular mass of nitrogen is 14 times greater than that of hydrogen. If the molecules in these two gases have the same rms speed, the ratio of hydrogens absolute temperature to that of nitrogen is?

Answer 1

\[v _{h} = \sqrt{3RT _{h}/M _{h}}\]
\[v _{n}= \sqrt{3RT _{n}/M _{n}}\]
'h' represents parameters for hydrogen and 'n' represents nitrogen.'v' is the rms speed of molecules The left hand sides of the above two equations are equal so the right hand sides will also be equal. Equate them and use the given ratio of molecular masses to find the ratio of temperatures.