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Calculate the standard cell potential (i...

Calculate the standard cell potential (in V) of the cell in which following reaction takes place:
` Fe ^( 2 + ) ( aq ) + A g^ + ( aq ) to Fe ^( 3 + ) ( aq ) + Ag (s ) `
Given that ` E _ (Ag ^ + // Ag ) ^ 0 = x V , E _ ( Fe^( 2+ ) // Fe ) ^0 = yV , E _ (Fe^(3+)//F e )^0 = z V `

A

`x + 2y - 3z`

B

`x - z`

C

`x- y`

D

`x + y - z`

Text Solution

Verified by Experts

The correct Answer is:
A

To calculate m
`Fe^(2+) (aq) + Ag^(+) (aq) to Fe^(3+) (aq) + Ag (s) E^(@) = (m + x) V`
To calculate m
`Fe^(2+) + 2e^(-) to Fe E_(1)^(@) = y V , Delta G_(1)^(@) = - 2 F_(y)`
`Fe^(3+) + 3e^- to Fe " " E_(2)^(@) = zV , Delta G_(2)^(@) = - 3 F_(z)`
`Fe^(2+) (aq) to Fe^(3+) (aq) + e^- E_(3)^(@) = m V , Delta G_(3)^(@) = -1` Fm
`Delta G_(3)^(@) = Delta G_(1)^(@) - Delta G_(2)^(@)`
`- F m = - 2F y + 3 Fz`
`m = 2y - 3z`
`E_(cell)^(@) = (x + 2y- 3z) V`.
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