Verified Solution • 2025–26 Session moderate

QJEEM24Ch25eb: JEE Main 2024 Chemistry - Class 12 JEEM24Ch25eb Solution: The reaction; occurs in which of the following galvanic cell :

The reaction;

12H2( g)+AgCl(s)→H(aq)++Cl(aq)−+Ag(s)\frac{1}{2} \mathrm{H}_{2(\mathrm{~g})}+\mathrm{AgCl}_{(\mathrm{s})} \rightarrow \mathrm{H}_{(\mathrm{aq})}^{+}+\mathrm{Cl}_{(\mathrm{aq})}^{-}+\mathrm{Ag}_{(\mathrm{s})}

occurs in which of the following galvanic cell :

Multiple Choice Options

  • A Pt∣H2( g)∣HCl(soln.) ∣AgNO3(aq)∣Ag\mathrm{Pt}\left|\mathrm{H}_{2(\mathrm{~g})}\right| \mathrm{HCl}_{(\text {soln.) }}\left|\mathrm{AgNO}_{3(\mathrm{aq})}\right| \mathrm{Ag}
  • B Ag∣AgCl(s)∣KCl(soln.) ∣AgNO3 (aq.) ∣Ag\mathrm{Ag}\left|\mathrm{AgCl}_{(\mathrm{s})}\right| \mathrm{KCl}_{\text {(soln.) }}\left|\mathrm{AgNO}_{3 \text { (aq.) }}\right| \mathrm{Ag}
  • C Pt∣H2( g)∣KCl(soln.) ∣AgCl(s)∣Ag\mathrm{Pt}\left|\mathrm{H}_{2(\mathrm{~g})}\right| \mathrm{KCl}_{(\text {soln.) }}\left|\mathrm{AgCl}_{(\mathrm{s})}\right| \mathrm{Ag}
  • D Pt∣H2( g)∣HCl(soln. )∣AgCl(s)∣Ag\mathrm{Pt}\left|\mathrm{H}_{2(\mathrm{~g})}\right| \mathrm{HCl}_{(\text {soln. })}\left|\mathrm{AgCl}_{(\mathrm{s})}\right| \mathrm{Ag}

Step-by-Step Verified Solution

To determine which galvanic cell corresponds to the given reaction:

12H2( g)+AgCl(s)→H(aq)++Cl(aq)−+Ag(s)\frac{1}{2} \mathrm{H}_{2(\mathrm{~g})}+\mathrm{AgCl}_{(\mathrm{s})} \rightarrow \mathrm{H}_{(\mathrm{aq})}^{+}+\mathrm{Cl}_{(\mathrm{aq})}^{-}+\mathrm{Ag}_{(\mathrm{s})}

we need to examine the setups of the given cells and check if they produce the same reactants and products as in the above reaction.

Analyzing the reaction, we observe:

  • Hydrogen gas ( H2( g)\mathrm{H}_{2(\mathrm{~g})} ) is involved at one electrode and splits into H(aq)+\mathrm{H}_{(\mathrm{aq})}^{+} ions.
  • Solid silver chloride ( AgCl(s)\mathrm{AgCl}_{(\mathrm{s})} ) decomposes at another electrode into Ag(s)\mathrm{Ag}_{(\mathrm{s})} and Cl(aq)−\mathrm{Cl}_{(\mathrm{aq})}^{-} ions.

Let's examine each option:

Option A:

Pt∣H2( g)∣HCl(soln.) ∣AgNO3(aq)∣Ag\mathrm{Pt}\left|\mathrm{H}_{2(\mathrm{~g})}\right| \mathrm{HCl}_{(\text {soln.) }}\left|\mathrm{AgNO}_{3(\mathrm{aq})}\right| \mathrm{Ag}

This cell setup does not directly involve AgCl(s)\mathrm{AgCl}_{(\mathrm{s})} solid separating into Ag(s)\mathrm{Ag}_{(\mathrm{s})} and Cl(aq)−\mathrm{Cl}_{(\mathrm{aq})}^{-} . Hence, it does not match the reaction given.

Option B:

Ag∣AgCl(s)∣KCl((soln.) ∣AgNO3 (aq.) ∣Ag\mathrm{Ag}\left|\mathrm{AgCl}_{(\mathrm{s})}\right| \mathrm{KCl}_{(\text {(soln.) }}\left|\mathrm{AgNO}_{3 \text { (aq.) }}\right| \mathrm{Ag}

This involves silver electrodes and does not have a setup for reaction with hydrogen gas or the splitting of H2( g)\mathrm{H}_{2(\mathrm{~g})} into H(aq)+\mathrm{H}_{(\mathrm{aq})}^{+} ions. So, this does not match either.

Option C:

Pt∣H2( g)∣KCl(soln.) ∣AgCl(s)∣Ag\mathrm{Pt}\left|\mathrm{H}_{2(\mathrm{~g})}\right| \mathrm{KCl}_{(\text {soln.) }}\left|\mathrm{AgCl}_{(\mathrm{s})}\right| \mathrm{Ag}

While this configuration includes AgCl(s)\mathrm{AgCl}_{(\mathrm{s})} and H2( g)\mathrm{H}_{2(\mathrm{~g})} , it uses potassium chloride solution instead of hydrochloric acid solution, which alters the chemistry and does not perfectly match the required reaction mechanism.

Option D:

Pt∣H2( g)∣HCl(soln. )∣AgCl(s)∣Ag\mathrm{Pt}\left|\mathrm{H}_{2(\mathrm{~g})}\right| \mathrm{HCl}_{(\text {soln. })}\left|\mathrm{AgCl}_{(\mathrm{s})}\right| \mathrm{Ag}

This configuration fits the reaction given. Here hydrogen gas at the platinum electrode splits into H(aq)+\mathrm{H}_{(\mathrm{aq})}^{+} ions in the hydrochloric acid solution. On the other side, the solid silver chloride separates into Ag(s)\mathrm{Ag}_{(\mathrm{s})} and Cl(aq)−\mathrm{Cl}_{(\mathrm{aq})}^{-} ions. Hence, this accurately matches the reaction.

Therefore, the correct answer is:

Option D

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