What will be the emf for the given cell ?
`Pt|H_(2)(g,P_(1))|H^(+)(aq)|H_(2)(g,P_(2))|Pt`

Options

A. `(RT)/(F) "In"(P_(1))/(P_(2))`
B. `(RT)/(2F) "In"(P_(1))/(P_(2))`
C. `(RT)/(F) "In"(P_(2))/(P_(1))`
D. None of these

Answer

B

Explanation

KLHS, `H_(2)(P_(1)) hArr 2H^(+) + 2e^(-)` Oxidation
`("RHS" , 2H^(+)+2e^(-)hArrH_(2)(P_(2))"Reduction")/(H_(2)(P_(2))hArrH_(2)(P_(2)))`
`therefore E=E^(@)-(RT)/(nF) "In"(P_(2))/(P_(1))=0+(RT)/(2F) "In"(P_(1))/(P_(2))`