Question:medium
Given below are two statements labeled Assertion A and the labeled as Reason R :
Assertion A: In the equation \(\Delta_rG=-nFE_{cell}\) value of \(\Delta_rG\) depends on n.
Reasons R: \(E_{cell}\) is an intensive property and \(\Delta_rG\) is an extensive property.
In the light of the above statements, choose the correct answer from the options below :
Given below are two statements labeled Assertion A and the labeled as Reason R :
Assertion A: In the equation \(\Delta_rG=-nFE_{cell}\) value of \(\Delta_rG\) depends on n.
Reasons R: \(E_{cell}\) is an intensive property and \(\Delta_rG\) is an extensive property.
In the light of the above statements, choose the correct answer from the options below :
Assertion A: In the equation \(\Delta_rG=-nFE_{cell}\) value of \(\Delta_rG\) depends on n.
Reasons R: \(E_{cell}\) is an intensive property and \(\Delta_rG\) is an extensive property.
In the light of the above statements, choose the correct answer from the options below :
Updated On: May 1, 2026
- Both A and R are true and R is the correct explanation of A.
- A is true but R is false.
- A is false but R is true.
- Both A and R are true and R is the correct explanation of A.
Show Solution
The Correct Option is D
Solution and Explanation
The given question involves understanding the concepts of thermodynamics and electrochemistry, particularly relating to the Gibbs free energy change (\(\Delta_rG\)) and cell potential (\(E_{cell}\)). Let's analyze each statement to determine their correctness:
- Assertion A: In the equation \(\Delta_rG = -nFE_{cell}\), the value of \(\Delta_rG\) depends on n.
- The equation \(\Delta_rG = -nFE_{cell}\) is the standard relationship between the Gibbs free energy change, the number of moles of electrons transferred (\(n\)), Faraday's constant (\(F\)), and the cell potential (\(E_{cell}\)).
- Gibbs free energy change (\(\Delta_rG\)) is an extensive property, meaning it depends on the quantity of matter present (in this case, the number of moles \(n\)).
- Therefore, \(\Delta_rG\) indeed depends on \(n\).
- Reason R: \(E_{cell}\) is an intensive property and \(\Delta_rG\) is an extensive property.
- \(E_{cell}\) is an intensive property, which means it does not depend on the amount of substance present; it is determined by the nature of the chemical reaction and conditions such as temperature and pressure.
- \(\Delta_rG\), on the other hand, is extensive because it depends on the total amount of reactants or products involved in the reaction (hence depends on n).
Considering both statements A and R:
- A is correct because \(\Delta_rG\) does depend on n.
- R is correct because it accurately describes the nature of \(E_{cell}\) as an intensive property and \(\Delta_rG\) as an extensive property.
- Furthermore, R correctly explains why A is true; since \(\Delta_rG\) is extensive, it depends on the amount of substance (or number of moles, \(n\)).
Therefore, the correct answer is: Both A and R are true and R is the correct explanation of A.
Was this answer helpful?
9
Top Questions on Electrochemistry
- Alkyl halide and aryl halide react in the presence of sodium metal and dry ether. The name of the reaction is?
- MHT CET - 2024
- Chemistry
- Electrochemistry
- The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is:
- MHT CET - 2024
- Chemistry
- Electrochemistry
- What is the standard electrode potential for the reduction half-reaction \( \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \)?
- MHT CET - 2025
- Chemistry
- Electrochemistry
- What is the standard electrode potential of the half-reaction: \[ \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \, (\text{solid})? \] Given that the standard electrode potential for the half-reaction: \[ \text{Ag}^+ + e^- \rightarrow \text{Ag} \, (\text{solid}) \quad \text{is} \, +0.80 \, \text{V}. \] Also, the cell potential for the following reaction is: \[ \text{Cu}^{2+} + 2\text{Ag} \rightarrow \text{Cu} + 2\text{Ag}^+ \] is \( 0.46 \, \text{V} \).
- MHT CET - 2025
- Chemistry
- Electrochemistry
- Want to practice more? Try solving extra ecology questions todayView All Questions
