If the `E_("cell")^(@)` for a given reaction has a negative value, then which of the following gives the correct relationships for the values of `Delta G ^(@) and K_(eq),`

Options

A. `DeltaG^(@)gt 0, k _(aq) gt1`
B. `Delta G^(@) lt 0 , K _(eq) gt1`
C. `DeltaG^(@) lt 0, K_(eq)lt 1`
D. `Delta G^(@)gt 0, K_(aq)lt 1`

Answer

D

Explanation

Standard Gibbs frec energy is given as `DeltaG ^(@)=-nE ^(@)F If E_(cell) ^(@) lt 0 i.e., -ve`
`DeltaG^(@)gt 0`
Further `Delta G^(@)=-RTln K_(eq)`
`therefore Delta G^(@) gt 0 and K _(aq) lt 0`