Which of the following gases has maximum rms speed at a given temperature?
Rms speed at given temperature is given as
vrms =
where R=gas constant whose value is 8.31 J/mol K.
T=temperature of gas.
M= molar mass of molecule of gas
Therefore, at a given temperature rms speed of gas is inversely proportional to square root of molar mass of molecule of that gas.
Out of the four-option molar mass of hydrogen molecule is least
i.e. 2 amu. So rms speed of hydrogen will be maximum.