N2 gas is 14 times denser than H2 gas at the same temperatur

N2 gas is 14 times denser than H2 gas at the same temperature and pressure. How much faster than N2 does H2 effuse? Rate of H2 effusion/Rate of N2 effusion =

Solution

Rate of effusion is inversely proportional to square root of molar mass
rate = k*sqrt(1/M)
M is molar mass


If we take ratio, above expression becomes
rate(H2)/vrms(N2) = sqrt (M(N2)/M(H2))
we have:
M(H2) = 2.016 g/mol
M(N2) = 28.02 g/mol
rate(H2)/rate(N2) = sqrt (28.02/2.016)
rate(H2)/rate(N2) = sqrt (13.8988)
rate(H2)/rate(N2) = 3.7281
Answer: 3.73