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Assertion A: In equation ΔrG=−nFEcell, value of ΔrG depends on n.Reason R: Ecell is an intensive property and ΔrG is an extensive property.
medium
Thermodynamics
2023
chemistry
Both A and R are true and R is the correct explanation of A.
Both A and R are true and R is NOT the correct explanation of A.
A is true but R is false.
A is false but R is true.
Explanation
To solve this problem, we need to analyze the given assertion and reason.Assertion A: In the equation ΔrG=−nFEcell, the value of ΔrG
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Reason R:
is an intensive property and
is an extensive property.
Let's break down each part:
• The equation
ΔrG=−nFEcell is used to relate the Gibbs free energy change
to the cell potential
Ecell. • Here,
is the number of moles of electrons transferred in the reaction,
is Faraday's constant,
and
is the electromotive force (emf) of the cell.
•
is an extensive property, meaning it depends on the amount of substance involved.
•
is an intensive property, meaning it does not depend on the amount of substance.
Analyzing the assertion:
• Since
is calculated using
(the number of moles of electrons), it is directly proportional to
• Therefore, the assertion that
depends on
is true.
Analyzing the reason:
•
being an intensive property means it remains constant regardless of the system size.
•
being an extensive property means it scales with the size of the system or the amount of substance.
• The reason correctly states the nature of these properties.
Conclusion:
• Both the assertion and the reason are true.
• The reason correctly explains why
depends on
because
affects the extensive property
ΔrG. Therefore, the correct option is 1: Both A and R are true and R is the correct explanation of A.