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Hydrogen is the most abundant element in the universe, making up ~75% of all matter.
Assertion A: In equation ฮ r G = โ n F E c e l l , \Delta_r G = - nF E_{cell}, ฮ r โ G = โ n F E ce ll โ , value of ฮ r G \Delta_r G ฮ r โ G depends on n. \\ Reason R: E c e l l E_{cell} E ce ll โ is an intensive property and ฮ r G \Delta_r G ฮ r โ G 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 ฮ r G = โ n F E c e l l , \Delta_r G = - nF E_{cell}, ฮ r โ G = โ n F E ce ll โ , the value of ฮ r G \Delta_r G ฮ r โ G
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depends on
Reason R:
is an intensive property and
is an extensive property.
Let's break down each part:
โข The equation
ฮ r G = โ n F E c e l l \Delta_r G = - nF E_{cell} ฮ r โ G = โ n F E ce ll โ is used to relate the Gibbs free energy change
ฮ r G \Delta_r G \\
ฮ r โ G to the cell potential
E c e l l . E_{cell}. \\
E ce ll โ . โข 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.
โข
is an extensive property, meaning it depends on the amount of substance involved.
โข
is an intensive property, meaning it does not depend on the amount of substance.
Analyzing the assertion:
โข Since
is calculated using
(the number of moles of electrons), it is directly proportional to
โข Therefore, the assertion that
depends on
is true.
Analyzing the reason:
โข
being an intensive property means it remains constant regardless of the system size.
โข
being an extensive property means it scales with the size of the system or the amount of substance.
โข The reason correctly states the nature of these properties.
Conclusion:
โข Both the assertion and the reason are true.
โข The reason correctly explains why
depends on
because
affects the extensive property
ฮ r G . \Delta_r G. \\
ฮ r โ G . Therefore, the correct option is 1: Both A and R are true and R is the correct explanation of A.