Using Graham's Law of Diffusion,
R1R2=m2m1\frac{R_1}{R_2} = \sqrt{\frac{m_2}{m_1}}R2R1=m1m2
RHRO=mOmH\frac{R_H}{R_O} = \sqrt{\frac{m_O}{m_H}}RORH=mHmO
RHRO=322\frac{R_H}{R_O} = \sqrt{\frac{32}{2}}RORH=232
RHRO=16=4\frac{R_H}{R_O} = \sqrt{16} = 4RORH=16=4
∴RH=4×RO\therefore R_H = 4 \times R_O∴RH=4×RO
Therefore, hydrogen diffuses 4 times faster than oxygen.
