Two gases - argon (atomic radius 0.07 n m , atomic weight 40 ) and xenon (atomic radius 0.1 n m , atomic weight 140 ) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to:

Question

Two gases - argon (atomic radius 0.07 n m , atomic weight 40 ) and xenon (atomic radius 0.1 n m , atomic weight 140 ) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to:, 3.67, 1.83, 2.3, 4.67

MARKS App · Accepted Answer

Mean free time = 1 2 n π d 2 v r m s t A r t X e = d X e 2 d A r 2 × m 1 m 2 = 0.1 0.07 2 × 40 140 = 10 7 2 × 2 7 = 1.09 closest value is 1 . 83

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