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JEE Main 20238 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
8 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2023 · 8 April · Evening Shift · Chemistry · Thermodynamics (C)

The incorrect statements from the following is: A. The electrical...

The incorrect statements from the following is:
A. The electrical work that a reaction can perform at constant pressure and temperature is equal to the reaction Gibbs energy.
B. Ecell∘{E}_{cell}^{∘} is dependent on the pressure.
C. dEcell°dT=ΔrS°nF{dE}_{cell}^{°}dT = \dfrac{{\Delta}_{r}{S}^{°}}{nF}
D. A cell is operating reversibly if the cell potential is exactly balanced by an opposing source of potential difference.

Correct answer

0

Step-by-step solution

Ecell∘{E}_{cell}^{∘} is dependent on the equilibrium constant, KK, which is not dependent on the pressure of any gas involved in the cell. Relation between Electrochemical Cell Potential and Gibbs free Energy change is given by; \DeltaG=−nFE\DeltaG = - nFE where Delta G is Gibbs Free energy change , n is the number of electrons involved in the reaction and F is Faraday and E is the Cell potential.

We know that,

dG=VdP−SdTdG = VdP - SdT

At constant pressure dP=0dP = 0

⇒dG=−SdT⇒ dG = - SdT

S=−dGdT∆S=−(∆(dG)dT)PS = - \dfrac{dG}{dT} ∆ S = - {\left(\dfrac{∆ \left(dG\right)}{dT}\right)}_{P}

⇒dEcell°dT=∆SnF⇒ {dE}_{cell}^{°}dT = \dfrac{∆ S}{nF}

A cell is operating reversibly if the cell potential is exactly balanced by an opposing source of potential difference.

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