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NEET CHEMISTRYElectrochemistryMedium

Question

Standard electrode potential for the cell with cell reaction Zn(s)+Cu2+(aq)Zn2+(aq)+Cu(s)Zn(s) + Cu^{2+}(aq) \rightarrow Zn^{2+}(aq) + Cu(s) is 1.1 V1.1\text{ V}. Calculate the standard Gibbs energy change for the cell reaction. (Given F=96487 C mol1F = 96487\text{ C mol}^{–1})

A

–200.27 kJ mol–1

B

–212.27 kJ mol–1

C

–212.27 J mol–1

D

–200.27 J mol–1

Step-by-Step Solution

The standard Gibbs energy change (ΔrG\Delta_r G^{\circ}) is related to the standard cell potential (EcellE^{\circ}_{cell}) by the equation: ΔrG=nFEcell\Delta_r G^{\circ} = -nFE^{\circ}_{cell} For the given cell reaction, Zn(s)+Cu2+(aq)Zn2+(aq)+Cu(s)Zn(s) + Cu^{2+}(aq) \rightarrow Zn^{2+}(aq) + Cu(s), the number of electrons transferred (nn) is 22. Given: Ecell=1.1 VE^{\circ}_{cell} = 1.1\text{ V} F=96487 C mol1F = 96487\text{ C mol}^{-1} Substitute the values into the equation: ΔrG=2×96487 C mol1×1.1 V\Delta_r G^{\circ} = -2 \times 96487\text{ C mol}^{-1} \times 1.1\text{ V} ΔrG=212271.4 J mol1\Delta_r G^{\circ} = -212271.4\text{ J mol}^{-1} ΔrG=212.2714 kJ mol1\Delta_r G^{\circ} = -212.2714\text{ kJ mol}^{-1} Therefore, the standard Gibbs energy change for the cell reaction is 212.27 kJ mol1-212.27\text{ kJ mol}^{-1}.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Electrochemistry. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYElectrochemistrystandardelectrodepotentialreactionrightarrow

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