JEE Main · 2019 · Shift-ImediumEC-084

The standard Gibbs energy for the given cell reaction in kJ\ mol-1 at 298 K is: {Zn(s) + Cu^{2+}(aq) Zn^{2+}(aq) +…

Electrochemistry · Class 12 · JEE Main Previous Year Question

Question

The standard Gibbs energy for the given cell reaction in kJ mol1\mathrm{kJ\ mol^{-1}} at 298 K is: \mathrm{Zn(s) + Cu^{2+}(aq) \long\rightarrow Zn^{2+}(aq) + Cu(s)},\quad E° = 2\ \mathrm{V}

(Faraday's constant, F=96000 C mol1F = 96000\ \mathrm{C\ mol^{-1}})

Options
  1. a

    -192

  2. b

    192

  3. c

    384

  4. d

    -384

Correct Answerd

-384

Detailed Solution

Strategy: Energy change ΔG\Delta G^\circ is directly proportional to the cell potential EE^\circ via the Faraday constant (ΔG=nFE\Delta G^\circ = -nFE^\circ).

Step 1: Identify parameters Reaction: \ceZn+Cu2+Zn2++Cu\ce{Zn + Cu^{2+} \rightarrow Zn^{2+} + Cu}, n=2n = 2. E=2 VE^\circ = 2 \text{ V}. F=96000 C/molF = 96000 \text{ C/mol} (as given).

Step 2: Calculate ΔG\Delta G^\circ ΔG=2×96000×2=384,000 J/mol\Delta G^\circ = -2 \times 96000 \times 2 = -384,000 \text{ J/mol} ΔG=384 kJ/mol\Delta G^\circ = -384 \text{ kJ/mol}

Spontaneous reactions (E>0E^\circ > 0) always have negative ΔG\Delta G^\circ.

Answer: (d) -384\boxed{\text{Answer: (d) -384}}

Practice this question with progress tracking

Want timed practice with adaptive difficulty? Solve this question (and hundreds more from Electrochemistry) inside The Crucible, our adaptive practice platform.