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Q.Represent the cell and calculate the standard emf of the cell having the following cell reaction: 2Cr(s) + 3Cd^2+(aq) -> 2Cr^3+(aq) + 3Cd(s). Given that, E°(Cr3+/Cr) = -0.73V and E°(Cd2+/Cd) = -0.40V.

Odisha ChseOdisha CHSE +2 Science Board Exam 2026Subjective· 2mImportance★★★★★
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Cr is oxidised at the anode and Cd2+ is reduced at the cathode; the cell has Ecell∘=+0.33 VE^{\circ}_{cell}=+0.33\ V.

Given cell reaction: 2Cr(s)+3Cd2+(aq)→2Cr3+(aq)+3Cd(s)2Cr(s) + 3Cd^{2+}(aq) \rightarrow 2Cr^{3+}(aq) + 3Cd(s).

Splitting into half-reactions: Chromium metal is being oxidised to Cr3+Cr^{3+} (loses electrons) — this occurs at the ANODE (negative electrode):

Cr(s)→Cr3+(aq)+3e−(×2)Cr(s) \rightarrow Cr^{3+}(aq) + 3e^-\quad(\times2)

Cadmium ion is being reduced to Cd metal (gains electrons) — this occurs at the CATHODE (positive electrode):

Cd2+(aq)+2e−→Cd(s)(×3)Cd^{2+}(aq) + 2e^- \rightarrow Cd(s)\quad(\times3)

By convention, a galvanic cell is represented with the anode written on the left and the cathode on the right, separated by the salt bridge (||):

Cr(s) ∣ Cr3+(aq) ∣∣ Cd2+(aq) ∣ Cd(s)Cr(s)\,|\,Cr^{3+}(aq)\,||\,Cd^{2+}(aq)\,|\,Cd(s)

The standard cell EMF is calculated as: …

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