1.

For the following elecrochemical cell at 298K Pt(s)|H_(2)(g,1"bar")|H^(+)(aq,1M)||M^(4+)(aq),M^(2+)(aq)|Pt(s) E_(cell)=0.092V when ([M^(2+)(aq)])/([M^(4+)(aq)])=10^(x) Given: E_(M^(4+)//M^(2+))^(0)=0.151V,2.303(RT)/(F)=0.059V the value of x is

Answer»

`-2`
`-1`
`1`
`2`

Solution :ANODE: `H_(2)-2ehArr2H^(+)`
`underline("Cathode:"M^(4+)+2ehArrM^(2+))`
Net CELL reaction: `H_(2)+M^(4+)hArr2H^(+)+M^(2+)`
`E_(cell)=E_(cell)^(0)-(0.059)/(2)"log"([H^(+)]^(2)[M^(2+)])/([M^(4+)]xxP_(H_(2)))`
`0.092=0.151-(0.059)/(2)log10^(X)`
`0.092=0.151-(0.059)/(2)x`
`(0.059x)/(2)=0.151-0.092`
`0.059x=0.059xx2impliesx=2`.


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