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.

The standard Gibbs energy for the given cell reaction in kJ\ mol-1 at 298 K is: {Zn(s) +… (JEE Main 2019) | Canvas Classes