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JEE Main 202329 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2023 · 29 January · Evening Shift · Chemistry · Electrochemistry

The equilibrium constant for the reaction Zn (s) + Sn ^ 2 + (aq) ⇌...

The equilibrium constant for the reaction ZnZn\left(s\right) + {Sn}^{2 +}(aq)⇌Zn2+(aq)+Sn(s)\left(aq\right) ⇌ {Zn}^{2 +}\left(aq\right) + Sn\left(s\right) is 1×10201 \times {10}^{20} at 298K298K. The magnitude of standard electrode potential of Sn/Sn2+Sn / {Sn}^{2 +} if EZn2∗/Zn0=−0.76V{E}_{{Zn}^{2 *} / Zn}^{0} = - 0 . 76V is _____ ×10−2V\times {10}^{- 2}V. (Nearest integer)

Given : 2.303RTF=0.059V\dfrac{2 . 303RT}{F} = 0 . 059V

Correct answer

0

Step-by-step solution

Zn(s)+Sn2+(aq)⇌Zn2+(aq)+Sn(s)Zn\left(s\right) + {Sn}^{2 +}\left(aq\right) ⇌ {Zn}^{2 +}\left(aq\right) + Sn\left(s\right)

Given: 2.303RTF=0.059V\dfrac{2 . 303RT}{F} = 0 . 059V

Ecell0=2.303RT2FlogKc{E}_{cell}^{0} = \dfrac{2 . 303RT}{2F}log{K}_{c}

⇒Ecell0=0.0592log⁡(1020)⇒ {E}_{cell}^{0} = \dfrac{0 . 059}{2}\log ( {10}^{20} )

⇒Ecell0=0.0592×20⇒ {E}_{cell}^{0} = \dfrac{0 . 059}{2} \times 20

⇒Ecell0=0.59V⇒ {E}_{cell}^{0} = 0 . 59V

Ecell0=ESn2+/Sn0−EZn2+/Zn0{E}_{cell}^{0} = {E}_{{Sn}^{2 +} / Sn}^{0} - {E}_{{Zn}^{2 +} / Zn}^{0}

⇒Ecell0=ESn2+/Sn0−(−0.76)⇒ {E}_{cell}^{0} = {E}_{{Sn}^{2 +} / Sn}^{0} - ( - 0 . 76 )

⇒ESn2+/Sn0=−0.76+059=−0.17⇒ {E}_{{Sn}^{2 +} / Sn}^{0} = - 0 . 76 + 059 = - 0 . 17

⇒ESn/Sn2+0=0.17=17×10−2⇒ {E}_{Sn / {Sn}^{2 +}}^{0} = 0 . 17 = 17 \times {10}^{- 2}

So, answer is 17.

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