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

Options

A. `1:2`
B. `1:1`
C. `1:16`
D. `15 : 16`

Answer

D

Explanation

Suppose w is the weight of both `C_(2)H_(6)` and `H_(2)` taken `M(CH_(2)H_(6))=30," "M(H_(2))=2`
`therefore n(C_(2)H_(6))=(w)/(30)," "n(H_(2))=(w)/(2)`
`p(H_(2))=X_(H_(2))xxp`
`=((w//2)/(w//2+w//30))p`
`=((1//2)/(1//2+1//30))p`
`=(((1)/(2))/((15+1)/(30)))p`
`=(1)/(2)xx(30)/(16)=(15)/(16)p`
`therefore" "pH_(2)=(15)/(16)p" or "pH_(2):p=15:16`