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JEE Main 202310 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2023 · 10 April · Morning Shift · Chemistry · Thermodynamics (C)

FeO _ 4 ^ 2 - + 2 . 2V ⟶ Fe ^ 3 + + 0 . 70V ⟶ Fe ^ 2 + - 0 . 45V ⟶...

FeO42−⟶+2.2VFe3+⟶+0.70VFe2+⟶−0.45VFe0{FeO}_{4}^{2 -}\overset{+ 2 . 2V}{⟶}{Fe}^{3 +}\overset{+ 0 . 70V}{⟶}{Fe}^{2 +}\overset{- 0 . 45V}{⟶}{Fe}^{0}

EFeO42−/Fe2+θ{E}_{{FeO}_{4}^{2 -} / {Fe}^{2 +}}^{\theta} is x×10−3Vx \times {10}^{- 3}V. The value of xx is _______

Correct answer

0

Step-by-step solution

The relation between ∆Go∆ {G}^{o} and Ecello{E}_{cell}^{o} is

∆Go=−nFEcello∆ {G}^{o} = - {nFE}_{cell}^{o}

FeO42−⟶+2.2VFe3+ΔG1o=−6.6F{FeO}_{4}^{2 -}\overset{+ 2 . 2V}{⟶}{Fe}^{3 +}{\Delta G}_{1}^{o} = - 6 . 6F(3 electrons are involved)

Fe3+⟶+0.70VFe2+ΔG2o=−0.7F{Fe}^{3 +}\overset{+ 0 . 70V}{⟶}{Fe}^{2 +}{\Delta G}_{2}^{o} = - 0 . 7F(one electron is involved)

Hence, for

FeO42−⟶Fe2+ΔG3o=−7.3F{FeO}_{4}^{2 -} ⟶ {Fe}^{2 +}{\Delta G}_{3}^{o} = - 7 . 3F

=−nFEcello= - {nFE}_{cell}^{o}(Four electrons are involved)

EFeO42−/Fe+20=−7.3F−4F=1.825,n=4{E}_{{FeO}_{4}^{2 -} / {Fe}^{+ 2}}^{0} = \dfrac{- 7 . 3F}{- 4F} = 1 . 825, n = 4

=1825×10−3V= 1825 \times {10}^{- 3}V

n=n = Electron exchange of that half cell reaction.

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