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JEE Main 201910 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
10 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2019 · 10 January · Evening Shift · Chemistry · Electrochemistry

In the cell, Pt(s)| H _ 2 (g,...

In the cell, Pt(s)∣H2(g,1bar)∣HCl(aq)∣AgCl(s)∣Ag(s)∣Pt(s),)thecellpotentialisPt\left(s\right)\left|{H}_{2}\left(g, 1bar\right)\right|HCl\left(aq\right)\left|AgCl\left(s\right)\right|Ag\left(s\right)\left|Pt\left(s\right),\right)the cell potential is0 .92 Vwhenawhen a{10}^{- 6}molarmolarHClsolutionisused.Thestandardelectrodepotentialofsolution is used. The standard electrode potential ofAg | AgCl | {Cl}^{-}electrodeis:<br/><br/>(Given,electrode is:<br /><br />(Given,\dfrac{2 .303 RT}{F} = 0 .06 Vatat298K$)

Options

  1. A0.76V0 .76 V
  2. B0.20V0 .20 V
  3. C0.40V0 .40 V
  4. D0.94V0 .94 V

Correct answer

B. 0.20V0 .20 V

Step-by-step solution

A:12H2(g)→H+(aq.)+e−;Eo=0.0VA: \dfrac{1}{2}{H}_{2}\left(g\right) \to {H}^{+}\left(aq .\right) + {e}^{-}; {E}^{o} = 0 .0 V
C:AgCl(s)+e−→Ag(s)+Cl−;Eo=xVC: AgCl\left(s\right) + {e}^{-} \to Ag\left(s\right) + {Cl}^{-}; {E}^{o} = xV
Ecell=Ecello−0.061log⁡{[H+][Cl−]}{E}_{cell} = {E}_{cell}^{o} - \dfrac{0 .06}{1}\log \left\{\left[{H}^{+}\right]\left[{Cl}^{-}\right]\right\}
0.92=x−0.061log⁡(10−12)0 .92 = x - \dfrac{0 . 06}{1}\log \left({10}^{- 12}\right)
0.92=x+0.720 .92 = x + 0 . 72
x=0.92−0.72x = 0 .92 - 0 .72
=0.2V= 0 . 2V

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