Question:

The standard electrode potential for Daniell cell is $1.1\, volt$. What is the standard Gibbs energy for the reaction?

Updated On: Aug 1, 2022
  • $\ce{ 212.3 \, kJ \, mol^{-1}}$
  • $\ce{ - 212.3 \, kJ \, mol^{-1}}$
  • $\ce{106.15 \, kJ \, mol^{-1}}$
  • $\ce{ -106.15 \, kJ \, mol^{-1}}$
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The Correct Option is B

Solution and Explanation

Net reaction occurring in a Daniell cell is $ { Zn_{(s)} + Cu^{2+}_{(aq)} - > Zn^{2+}_{(aq)} + Cu_{(s)}}$ $\Delta = - nFE^\circ = -2 \times 69500 \times 1.1$ $ {= -212300 \, J \, mol^{-1} = 212.3 \, kJ \, mol^{-1} }$
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Concepts Used:

Gibbs Free Energy

The energy associated with a chemical reaction that can be used to do work.It is the sum of its enthalpy plus the product of the temperature and the entropy (S) of the system.

The Gibbs free energy is the maximum amount of non-expansion work that can be extracted from a thermodynamically closed system. In completely reversible process maximum enthalpy can be obtained.

ΔG=ΔH−TΔS

The Conditions of Equilibrium

If both it’s intensive properties and extensive properties are constant then thermodynamic system is in equilibrium. Extensive properties imply the U, G, A.