Question:

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 :

Updated On: Jan 9, 2025
  • 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.
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The Correct Option is D

Solution and Explanation

The correct option is (D): Both A and R are true and R is the correct explanation of A.
\(\Delta_rG=-nFE_{cell}\)
\(E_{cell}\) is an intensive property and \(\Delta_rG\) is an extensive property as it depends on the number of \(e^{\theta}\) transferred in cell reaction.
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Concepts Used:

Electrochemical Cells

An electrochemical cell is a device that is used to create electrical energy through the chemical reactions which are involved in it. The electrical energy supplied to electrochemical cells is used to smooth the chemical reactions. In the electrochemical cell, the involved devices have the ability to convert the chemical energy to electrical energy or vice-versa.

Classification of Electrochemical Cell:

Cathode

  • Denoted by a positive sign since electrons are consumed here
  • A reduction reaction occurs in the cathode of an electrochemical cell
  • Electrons move into the cathode

Anode

  • Denoted by a negative sign since electrons are liberated here
  • An oxidation reaction occurs here
  • Electrons move out of the anode

Types of Electrochemical Cells:

Galvanic cells (also known as Voltaic cells)

  • Chemical energy is transformed into electrical energy.
  • The redox reactions are spontaneous in nature.
  • The anode is negatively charged and the cathode is positively charged.
  • The electrons originate from the species that undergo oxidation.

Electrolytic cells

  • Electrical energy is transformed into chemical energy.
  • The redox reactions are non-spontaneous.
  • These cells are positively charged anode and negatively charged cathode.
  • Electrons originate from an external source.