A) \[M+X\to {{M}^{+}}+{{X}^{-}}\]is the spontaneous reaction
B) \[{{M}^{+}}+{{X}^{-}}\to M+X\]is the spontaneous reaction
C) \[{{E}_{cell}}=0.77V\]
D) \[{{E}_{cell}}=-0.77V\]
Correct Answer: B
Solution :
For the given cell \[M|{{M}^{+}}||{{X}^{-}}|X,\]the cell reaction is derived as follows. RHS: reduction \[X+{{e}^{-}}\xrightarrow{{}}{{X}^{-}}\] ...(i) LHS: oxidation \[M\xrightarrow{{}}{{M}^{+}}+{{e}^{-}}\] ...(ii) Add (i) and (ii) \[M+X\xrightarrow[{}]{{}}{{M}^{+}}+{{X}^{-}}\] The cell potential\[=-\text{ }0.11\text{ }V\] Since\[{{E}_{cell}}=-ve,\] the cell reaction derived above is not spontaneous. In fact, the reverse reaction will occur spontaneously.
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