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States Of Matter

Question
CBSEENCH11008289
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A  certain gas takes three times as long to effuse out as helium. Its molecular mass will be 

  • 27 u

  • 36 u 

  • 64 u

  • 9 u

Solution

B.

36 u 

From Graham's diffusion law,
straight r subscript 1 over straight r subscript 2 space equals space square root of M subscript 2 over M subscript 1 end root O r V subscript 1 over t subscript 1 space x space t subscript 2 over V subscript 2 space equals space square root of M subscript 2 over M subscript 1 end root because space V o l u m e space i s space s a m e therefore space 3 over 1 equals space square root of straight M subscript 2 over 4 end root space or space 9 equals straight M subscript 2 over 4 Or space straight M subscript 2 space equals space 9 space straight x space 4 space equals space 36 space straight u

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