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JEE Main 20241 FebruaryMorning Shift
Exam
JEE Main
Year
2024
Date
1 February
Shift
Morning Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2024 · 1 February · Morning Shift · Chemistry · Electrochemistry

The potential for the given half cell at 298K is (-) ............ ×...

The potential for the given half cell at 298K298K is \left(-\right)........................\times {10}^{- 2}V .</p><p></p><p>2{H}_{( aq )}^{+} + 2{e}^{-} \to {H}_{2} ( g )</p><p>[H+]=1M,PH2=2atm</p><p>\left[{H}^{+}\right] = 1M, {P}_{{H}_{2}} = 2atm

(Given2.303RT/F=0.06V,log⁡2=0.32 . 303RT / F = 0 . 06V, \log 2 = 0 . 3)

Correct answer

1

Step-by-step solution

The Nernst equation for the given cell reaction 2H++2e−→H22{H}^{+} + 2{e}^{-} \to {H}_{2} is 

E=E°−0.062×logpH2[H+]2E = {E}^{°} - \dfrac{0 . 06}{2} \times log\dfrac{{p}_{{H}_{2}}}{{\left[{H}^{+}\right]}^{2}}

E=0−0.062log2[1]2E = 0 - \dfrac{0 . 06}{2}log\dfrac{2}{{\left[1\right]}^{2}}

E=−0.03×0.3=−0.009=−9×10−3E = - 0 . 03 \times 0 . 3 = - 0 . 009 = - 9 \times {10}^{- 3}

E=−0.9×10−2VE = - 0 . 9 \times {10}^{- 2}V

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