What is the potential of a cell containing hydrogen electrodes, the negative one in contact with `10^(-10) M H^(+)` and positive one in contract with `0.025MH^(+)`?

Options

A. 0.18V
B. 0.52V
C. 0.38V
D. 0.48V

Answer

B

Explanation

`Pt,H_(2)|H^(+)(10^(-1)M )||H^(+)(0.025m)|H_(2),Pt`
`because [H^(+)]=10^(-10) M` is very small.
`therefore` Consider ionic concentration of water. `[H^(+)]`
`=10^(-7)` M in the anodic compartment (i.e. negative half cell).
Here n=1.
`E_("cell")=(0.0591)/(1)"log"(0.025)/(10^(-7))`
`=0.0591V["log"25-"log"10^(-4)]`
`=0.0591V[4+"log"25]`
`=0.0591xx[4 +1.3979]V`
=0.319=0.32