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Question

The electrode oxidation potential of electrode M(s)Mn+(aq.)(2M)+ne at 298K is E1. When temperature (in C) is doubled and concentration is made half, then the electrode potential becomes E2. Which of the following represent the correct relationship between E1 and E2?

A
E1>E2
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B
E1<E2
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C
E1=E2
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D
Can’t be predicted
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Solution

The correct option is B E1<E2
Use Nernst equation,

Ecell=E0cell2.303RTnFlog[Mn+]

E1 = E0 2.303.RTnFlog[2]

E2 = E0 2.303.R(2T)nFlog[1]

E2 = E0

Since log(1)= 0

E1 E2 = 2.303.RTnFlog[2]

E1 = E2 2.303.RTnFlog[2]

Therefore E2 >E1

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