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

C

Explanation

RHS `2H^(+)+2e^(-) rarr H_(2) +2e^(-)`
`KHS H_(2) (P_(1)) rarr 2H^(+)+2e^(-)`
overall reaction `H_(2) (p_(1)) rarr H_(2) (p_(2))`
`E=E^(@)-(RT)/(nF) "in" (P_(2))/(P+(1))=0 -(RT)/(2F)=(RT)/(2F) "in" (P_(1))/(p_(2))`