The oxidation potential of hydrogen half-cell will be negative if :

Options

A. `p(H_2) = 1 atm and [H^+] = 1M`
B. `p(H_2)= 1 atm and [H^(+)] = 2M`
C. `p(H_2) = 2 atm and [H^(+) = 1M`
D. `p(H_2) = 2 atm and [H^(+)]=2M`

Answer

C

Explanation

`E_(RP) = (-0.0591)/(1) log""((P_(H_2))^(1/2))/((H^(oplus))) , E_(RP) = (-0.0591)/(1) log""(H^(oplus))/((P_(H_2))^(1/2))`
a) `E_(RP) =(0.0591)/(2) log""((1)/(1)) = 0 ` b) ` E_(RP) = (0.0591)/(2) log""(2)/((1)^(1/2)) = +ve `
c) `E_(RP) = (0.0591)/(1) log""(1)/(sqrt(2)) = -0.0591 xx sqrt(2) = -ve ` d) `E_(RP) = (0.0591)/(1)log""(2)/(sqrt(2)) = -0.0591 xx sqrt(2) =+ve `