This problem could be solved through the Graham’s law of
effusion (also known as law of diffusion). This law states that the ratio of
the effusion rate of the first gas and effusion rate of the second gas is
equivalent to the square root of the ratio of its molar mass. Thus the answer
would be 0.1098.
The effusion is the movement of the molecules for a hole by a difference of pressure. The effusion rate is inversely proportional to the molar mass of the gas (M), and the ratio of the rates (R) of two gases can be found by Graham' Law:
R1/R2 = (√M2)/(√M1)
Let's call hydrogen gas as 1 (M1 = 2 g/mol), and krypton gas as 2 (M2 = 36 g/mol):