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Equal weights of ethane and hydrogen and...

Equal weights of ethane and hydrogen and mixed in an empty container at `25^(@)C`. The fraction of total pressure exerted by hydrogen is

A

`1:2`

B

`1:1`

C

`1:16`

D

`15:16`

Text Solution

Verified by Experts

`M_(C_(2)H_(6))=30, M_(H_(2))=2`
Suppose w is the weight of each of `C_(2)H_(6)` and `H_(2)` taken.
`:.n_(C_(2)H_(6))=w/30,n_(H_(2))=w/2`
`:.p_(H_(2))=x_(H_(2))xxp=(n_(H_(2))/(n_H_(2))+n_(C_(2)H_(6)))xxp`
`impliesp_(H_(2))=((w//2)/(w/2+w/30))p=((1//2)/(1/2+1/30))p`
`impliesp_(H_(2))=15/16pimpliesp_(H_(2)):p=15:16`
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