`MnO_(4)^(-) + 8H^(+) + 5e^(-) rightarrow Mn^(2+) + 4H_(2)O`, `E^(@) = 1.51V` `MnO_(2) + 4H^(+) + 2e^(-) righarrow Mn^(2+) + 2H_(2)O` `E^(@) = 1.23V`

Question

`MnO_(4)^(-) + 8H^(+) + 5e^(-) rightarrow Mn^(2+) + 4H_(2)O`, `E^(@) = 1.51V` `MnO_(2) + 4H^(+) + 2e^(-) righarrow Mn^(2+) + 2H_(2)O` `E^(@) = 1.23V`

`MnO_(4)^(-) + 8H^(+) + 5e^(-) rightarrow Mn^(2+) + 4H_(2)O`, `E^(@) = 1.51V`
`MnO_(2) + 4H^(+) + 2e^(-) righarrow Mn^(2+) + 2H_(2)O` `E^(@) = 1.23V`
`E_(MnO_(4)^(-)|MnO_(2)`
A. `- 1 V `
B. `-1.70` V
C. `+ 1` V
D. `1.70` V

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - D
Eq(i) - Eq(ii)
`MnO_(4)^(-) + 4H^(+) + 3e^(-) to Mn underset(+4)(O_(2)) + 2 H_(2)O , E_(3)^(@) = ?`
`Delta G_(3)^(@) = DeltaG_(1)^(@) - DeltaG_(2)^(@) - n_(3) E_(3)^(@) F = - nE_(1)^(@) F - n_(2) E_(2)^(@) F - 3 E_(3)^(@) = (5 xx 1.51) - (-2 xx 1.23)`
`therefore - E_(3)^(@) = ((-5 xx 1.51) + (2 xx 1.23))/(3) = -1.70` V .