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JEE Main 202127 JulyEvening Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2021 · 27 July · Evening Shift · Chemistry · Electrochemistry

For the cell Cu ( s ) | Cu ^ 2 + ( aq ) ( 0 . 1M ) ‖ Ag ^ + ( aq )...

For the cell Cu(s)∣Cu2+(aq)(0.1M)‖Ag+(aq)(0.01M)∣Ag(s)Cu ( s ) \left|{Cu}^{2 +} ( aq ) ( 0 . 1M ) ‖ {Ag}^{+} ( aq ) ( 0 . 01M )\right|Ag ( s ) the cell potential E1=0.3095V{E}_{1} = 0 . 3095V. For the cell Cu(s)∣Cu2+(aq)(0.01M)‖Ag+(aq)(0.001M)∣Ag(s)Cu ( s ) \left|{Cu}^{2 +} ( aq ) ( 0 . 01M ) ‖ {Ag}^{+} ( aq ) ( 0 . 001M )\right|Ag ( s ) the cell potential =x×10−2V.= x \times {10}^{- 2}V . Find value of x (Round off the Nearest Integer).

[ Use :2.303RTF=0.059J: \dfrac{2 . 303RT}{F} = 0 . 059J ]

Correct answer

0

Step-by-step solution

Cell reaction is :

Cu(s)+2Ag+(aq)→Cu2+(aq)+2Ag(s)Cu ( s ) + 2{Ag}^{+} ( aq ) \to {Cu}^{2 +} ( aq ) + 2Ag ( s )

Now, Ecell=ECello−0.0592log[Cu2+][ Ag +]2{E}_{cell} = {E}_{Cell}^{o} - \dfrac{0 . 059}{2}log\dfrac{\left[{Cu}^{2 +}\right]}{{\left[{\text{ Ag }}^{+}\right]}^{2}}</p><p></p><p>{E}_{1} = 0 . 3095 = {E}_{Cell}^{o} - \dfrac{0 . 059}{2} \cdot log\dfrac{0 . 1}{( 0 . 01{)}^{2}}.......(1).......\left(1\right)

E2=ECello−0.0592⋅log0.01(0.001)2..........(2){E}_{2} = {E}_{Cell}^{o} - \dfrac{0 . 059}{2} \cdot log\dfrac{0 . 01}{( 0 . 001{)}^{2}} . . . . . . . . . . ( 2 )

From ( 1 )and(2),E2=0.28V=28×10−2Vand ( 2 ) , {E}_{2} = 0 . 28V = 28 \times {10}^{- 2}V

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