Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202126 FebruaryEvening Shift
Exam
JEE Main
Year
2021
Date
26 February
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2021 · 26 February · Evening Shift · Chemistry · Electrochemistry

Emf of the following cell at 298K in V is x × 10 ^ - 2 Zn| Zn ^ 2 +...

Emfofthefollowingcellatof the following cell at298K in Visisx \times {10}^{- 2}</p><p></p><p>Zn\left|{Zn}^{2 +}\left(0 . 1M\right) ‖ {Ag}^{+}\left(0 . 01M\right)\right|Ag</p><p>Thevalueof</p><p>The value ofxis ________________ (Rounded off to the nearest integer)</p><p>\left[Given: {E}_{{Zn}^{2 +} / Zn}^{\theta} = - 0 . 76V; {E}_{{Ag}^{+} / Ag}^{\theta} = + 0 . 80V; \dfrac{2 . 303RT}{F} = 0 . 059\right]

Emf of the following cell at 298K in V is x × 10 ^ - 2 Zn| Zn ^ 2 + (0 . 1M) ‖ Ag ^ + (0 . 01M)|Ag The value of x is

Correct answer

0

Step-by-step solution

Emf of the following cell at 298K in V is x × 10 ^ - 2 Zn| Zn ^ 2 + (0 . 1M) ‖ Ag ^ + (0 . 01M)|Ag The value of x is

Ecell0=EAg+/Ag0−EZn2+/Zn0{E}_{cell}^{0} = {E}_{{Ag}^{+} / Ag}^{0} - {E}_{{Zn}^{2 +} / Zn}^{0}

=0.80−(−0.76)= 0 . 80 - \left(- 0 . 76\right)

=1.56V= 1 . 56V

Ecell=1.56−0.0592log[Zn2+][Ag+]2{E}_{cell} = 1 . 56 - \dfrac{0 . 059}{2}log\dfrac{\left[{Zn}^{2 +}\right]}{{\left[{Ag}^{+}\right]}^{2}}

=1.56−0.0592log0.1(0.01)2= 1 . 56 - \dfrac{0 . 059}{2}log\dfrac{0 . 1}{{\left(0 . 01\right)}^{2}}

=1.56−0.0592×3= 1 . 56 - \dfrac{0 . 059}{2} \times 3

=1.56−0.0885= 1 . 56 - 0 . 0885

=1.4715= 1 . 4715

=147.15×10−2= 147 . 15 \times {10}^{- 2}

Practice Electrochemistry on Quantrex Academy →

More from Electrochemistry

At 300 K, the molar conductivities of the aqueous solutions of three salts at two… JEE Advanced 2026Given at 298 K: E^ _ Fe^ 2+ /Fe = X Volt; E^ _ Fe^ 3+ /Fe = Y Volt. The E^ _ Fe^ 3+ /Fe^… JEE Main 2026For a general redox reaction Anode : Red_1 arrow Ox_1^ n_1^+ + n_1 e^- Cathode : Ox_2 +… JEE Main 2026Consider the following data. Electrolyte Λ^ ∘ _m (S cm ^2 mol ^ -1 ) BaCl_2 x_1 H_2SO_4… JEE Main 2026One half cell in a voltaic cell is constructed by dipping silver rod in AgNO_3 solution… JEE Main 2026At 298 K , the molar conductivity of x\% (w/w) MX solution (aqueous) is 123.5 S cm^2 mol^… JEE Main 2026An electrochemical cell, consist of the following two redox couples, M^ x+ (aq)/M(s) [E_… JEE Main 2026Consider the following two half-cell reactions along with the standard reduction… JEE Main 2026 Full Electrochemistry list All JEE Main PYQs