Equal weights of methane 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. `8//9`
C. `1//9`
D. `16//17`

Answer

B

Explanation

Let mass of each gas `CH_(4)` and `H_(2) = 16 g`
(Mol. Mass `CH_(4) = 16`, Mol. Mass `H_(2) = 2`)
`n_(CH_(4)) = (16)/(16) = 1, n_(H_(2)) = (16)/(2) = 8`
`:. X_(H_(2)) = 8//9`
`:. P_(H_(2)) = x_(H_(2)) xx P_("Total") = (8//9) xx P_("Total")`