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The standard ...

Question

The standard reduction potentials of ${C u}^{2 +} / C u$ and ${C u}^{2 +} / {C u}^{+}$ are $0.337$ and $0.153$ volts resectively. The standard electrode potential for ${C u}^{+} / C u$ half cell will be:

A

0.490 V

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B

0.980 V

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C

0.827 V

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D

0.521 V

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Solution

The correct option is B $0.521 V$
Required relation

$E_{3} = \frac{n_{1} E_{1} - n_{2} E_{2}}{n_{3}}$

$∵$ Given, $+ 2 \to 0$ ...(i)
$+ 2 \to + 1$ ....(ii)

Required, $+ 1 \to 0$

$∴$ Subtract equation (ii) from equation (i)

Here, $n_{1} = 2, E_{1} = 0.337 V$ ....(iii)
$n_{2} = 1, E_{2} = 0.153 V$ .....(iv)
$n_{3} = 1$

$∴ E_{3} = \frac{2 \times 0.337 - 1 \times 0.153}{1}$

$E_{3} = 0.521 V$

Hence, the correct option is $D$

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