For the reaction
`2 A (s) + B^(2+) (aq) to 2 A^(+) (aq) + B(s)` , Nernst equation for the EMF of the cell is

Options

A. `E = E^(@) - (RT)/(2F) "ln" ([A^(+)])/([B^(2+)])`
B. `E = E^(@) - (RT)/(2F) "ln" ([A^(+)])/([B^(2+)]^(2))`
C. `E = E^(@) - (RT)/(F) "ln" ([A^(+)])/(sqrt([B^(2+)]))`
D. `E = E^(@) + (RT)/(F) "ln" ([A^(+)])/(sqrt([B^(2+)]))`

Answer

B

Explanation

`E = E^(@) - (RT)/(2F) "ln" ([A^(+)]^(2+))/([B^(2+)]) = E^(@) - (RT)/(F) "ln" ([A^(+)])/(sqrt([B^(2+)]))`