For the electrochemical cell, `(M|M^(o+))||(X^(c-)|X),E^(c-)._((M^(o+)|M))=0.44V` and `E^(c-)._((X|X^(c-)))=0.334V`

Options

A. `M+Xrarr M^(o+)+X^(c-)` is a spontaneous reaction.
B. `M^(o+)+X^(c-) rarr M+X` is the spontaneous reaction
C. `E_(cell)=0.77V`
D. `E_(cell)=-0.77`

Answer

b

Explanation

For reaction `:`
At anode `: X^(c-)rarr X+e^(c-),`
`E^(c-)._(red)=+0.334V(E^(c-)._(o x i d)=-0.034V)`
At cathode `: M^(o+)+e^(-) rarr M, " "E^(c-). (red)=0.44V`
`ulbar(M^(o+)+X^(c-)rarr M+X)`
`E^(c-)._(cell)=(E^(c-)._(red))_(c)-(E^(c-)._(red))_(a)`
`=0.44-0.334`
`0.106V`
Since `E^(c-)._(cell)` is positive, hence the reaction is spontaneous.