JEE Class main Answered

RMS speed v of hydrogen molecules at temperature  T is

where M is molar mass and R is universal gas constant .

if m is mass of one molecule of hydrogen gas and n is number of gas molecules in the container ,

then total momentum P is

P = n × m × v

if quantity of hydrogen gas in container is 1 mole , then product of n and m is one molar mass M

Hence total momentum is

Let us substitute molar mass M = 2.0169 × 10^-3 kg  , R = 8.314 J/(K mole) and T = 300 K, we get

P = 3.885 kg m/s