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JEE Main 202228 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
28 June
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2022 · 28 June · Evening Shift · Chemistry · Electrochemistry

For the given reactions Sn ^ 2 + + 2 e ^ - → Sn Sn ^ 4 + + 4 e ^ -...

For the given reactions

Sn2++2e−→Sn{Sn}^{2 +} + 2{e}^{-} \to Sn

Sn4++4e−→Sn{Sn}^{4 +} + 4{e}^{-} \to Sn the electrode potentials are ; ESn2+/Sn°=−0.140V{E}_{{Sn}^{2 +} / Sn}^{°} = - 0 . 140V and ESn4+/Sn°=0.010V{E}_{{Sn}^{4 +} / Sn}^{°} = 0 . 010V. The magnitude of standard electrode potential for Sn4+/Sn2+{Sn}^{4 +} / {Sn}^{2 +} i.e. ESn4+/Sn2+°{E}_{{Sn}^{4 +} / {Sn}^{2 +}}^{°} is____×10−2V\times {10}^{- 2}V(Nearest integer)

Correct answer

0

Step-by-step solution

(i) Sn2++2e−⟶SnE10=−0.14V{Sn}^{2 +} + 2{e}^{-} ⟶ Sn{E}_{1}^{0} = - 0 . 14V

ΔG10=−2F(−0.14){\Delta G}_{1}^{0} = - 2F\left(- 0 . 14\right)

(ii) Sn4++4e−⟶SnE20=+0.010VΔG20=−4F(+0.010)\begin{array}{ll}{Sn}^{4 +} + 4{e}^{-} ⟶ Sn{E}_{2}^{0} = + 0 . 010V \\ {\Delta G}_{2}^{0} = - 4F\left(+ 0 . 010\right)\end{array}

Target Sn4++2e−⟶Sn2+E30={Sn}^{4 +} + 2{e}^{-} ⟶ {Sn}^{2 +}{E}_{3}^{0} =?

ΔG30=−2F[E30]{\Delta G}_{3}^{0} = - 2F\left[{E}_{3}^{0}\right]

Target Eq.=Eq. ii - Eq. i

−2F(E30)=−4F(0.010)−(−2F(−0.14))- 2F\left({E}_{3}^{0}\right) = - 4F\left(0 . 010\right) - \left(- 2F\left(- 0 . 14\right)\right)

E30=4×0.010+2×0.142=0.16V=16×10−2V{E}_{3}^{0} = \dfrac{4 \times 0 . 010 + 2 \times 0 . 14}{2} = 0 . 16V = 16 \times {10}^{- 2}V

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