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Question

Question: 50 ml of gas A diffuse through a membrane in the same time as 40 ml of a gas B under identical press...

50 ml of gas A diffuse through a membrane in the same time as 40 ml of a gas B under identical pressure-temperature conditions. If the molecular weight of A is 64, that of B would be

A

100

B

250

C

200

D

80

Answer

100

Explanation

Solution

r1r2=M2M150/t40/t=M264\frac { r _ { 1 } } { r _ { 2 } } = \sqrt { \frac { M _ { 2 } } { M _ { 1 } } } \Rightarrow \frac { 50 / t } { 40 / t } = \sqrt { \frac { M _ { 2 } } { 64 } }

5040=M264\frac { 50 } { 40 } = \sqrt { \frac { M _ { 2 } } { 64 } } or2516=M264\frac { 25 } { 16 } = \frac { M _ { 2 } } { 64 } or M2=100M _ { 2 } = 100