Equal weights of methane and hydrogen are mixed in an empty container at `25^(@)C`. The fraction of the total pressure exerted by hydrogen isA. `8//9`B. `1//9`C. `16//17`D. `1//2`

Equal weights of methane and hydrogen are mixed in an empty container

1.	Equal weights of methane and hydrogen are mixed in an empty container at `25^(@)C`. The fraction of the total pressure exerted by hydrogen isA. `8//9`B. `1//9`C. `16//17`D. `1//2`
Answer» Correct Answer - A The fraction of the total pressure exerted by `H_(2)` gas is gieven by `p_(f) = (p_(H_(2)))/(p_("total"))` which is equal to the mole freaction of `H_(2)` gas . Let us assume that `"Mass"_(H_(2)) = "Mass"_(CH_(4)) = mg` Thus , `n_(H_(2)) = ("Mass"_(H_(2)))/("Molar mass" _(H_(2))) = (mg)/(2g "mol"^(-1))` `n_(CH_(4)) = ("Mass"_(CH_(4)))/("Molar mass" _(CH_(4))) = (mg)/(16g "mol"^(-1))` `chi_(H_(2)) = (n_(H_(2)))/(n_(H_(2)) + n_(CH_(4))) = (m//2)/((m)/(2) + (m)/(16))` `= (m//2)/(9m//16) = (m)/(2) xx (16)/(9 m) = (8)/(9)`

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Equal weights of methane and hydrogen are mixed in an empty container at `25^(@)C`. The fraction of the total pressure exerted by hydrogen isA. `8//9`B. `1//9`C. `16//17`D. `1//2`

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