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What will be the spontaneous reaction be...

What will be the spontaneous reaction between the following half cell reactions ?
(i) `Cr^(3+)(aq)+3e^(-) rarr Cr(s) " "E^@=-0.74V`
(ii) `MnO_2(s)+4H^(+)+2e^(-)rarr Mn^(2+)(aq)+2H_2O(l)" "E^@=1.28V`
Calculate `E_("cell")^@`

Text Solution

Verified by Experts

Since the reduction potential reaction (ii) is more than that of reaction (i), reaction (ii) will occur as reduction . Therefore , reaction (i) should be written as oxidation . To obtain the net reaction , we multiply by appropriate coefficients so that electrons get cancelled .
`MnO_2(s)+4H^(+)(aq)_+2e^(-)rarrMn^(2+)(aq)+2H_2O(l)]xx3`
`" "Cr(s)rarrCr^(3+)(aq)+3e^(-)]xx2`
`2Cr(s)+3MnO_2(s)+12H^(+)(aq)rarr2Cr^(3+)(aq)+3Mn^(2+)(aq)+6H_2O`
`E_("cell")^@=E_("Substance reduced")-E_("Substance oxidised")`
`=1.28-(-0.74)=2.02V`
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