Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202325 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
25 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2023 · 25 January · Evening Shift · Chemistry · Electrochemistry

Pt ( s ) H _ 2 ( g ) ( 1bar ) | H ^ + ( aq ) ( 1M )|| M ^ 3 + ( aq...

Pt(s)H2(g)(1bar)∣H+(aq)(1M)∣∣M3+(aq),M+(aq)∣Pt(s)Pt ( s ) {H}_{2} ( g ) ( 1bar ) \left|{H}^{+} ( aq ) ( 1M )\right|\left|{M}^{3 +} ( aq ) , {M}^{+} ( aq )\right|Pt ( s )

The Ecell{E}_{\text{cell}} for the given cell is 0.1115V0 . 1115V at 298K298K

When [M+(aq)][M3+(aq)]=10a\dfrac{\left[{M}^{+} ( aq )\right]}{\left[{M}^{3 +} ( aq )\right]} = {10}^{a}

The value of a is ___________

Given : Eθ=M3+/M+0.2V{E}^{\theta} = {M}^{3 +} / {M}^{+} 0 . 2V

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

Correct answer

0

Step-by-step solution

Overall cell reaction :-

H2(g)+M(aq)3+⟶M(aq)++2H(aq)+{H}_{2 ( g )} + {M}_{( aq )}^{3 +} ⟶ {M}_{( aq )}^{+} + 2{H}_{( aq )}^{+}

Using Nernst equation:
ECell=ECathodeo−Eanodeo−0.0592log[M+]×12[M+3]1{E}_{\text{Cell}} = {E}_{\text{Cathode}}^{o} - {E}_{\text{anode}}^{o} - \dfrac{0 . 059}{2}log\dfrac{\left[{M}^{+}\right] \times {1}^{2}}{\left[{M}^{+ 3}\right]1}

⇒0.1115=0.2−0.0592log[M+][M+3]⇒ 0 . 1115 = 0 . 2 - \dfrac{0 . 059}{2}log\dfrac{\left[{M}^{+}\right]}{\left[{M}^{+ 3}\right]}

⇒3=log[M+][M+3]⇒ 3 = log\dfrac{\left[{M}^{+}\right]}{\left[{M}^{+ 3}\right]}

∴a=3∴ a = 3

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