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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : If a balanced electrochemical cell reaction is multiplied by an integer 2 , its standard cell potential ( E_ cell ^ ) remains unchanged but the standard Gibbs energy change ( _ r G^ ) is doubled. Reason (R) : E_ cell ^ is an intensive thermodynamic property whereas _ r G^ is an extensive thermodyn

Options

  1. ABoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  2. BBoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  3. CAssertion (A) is true but Reason (R) is false.
  4. DAssertion (A) is false but Reason (R) is true.

Correct answer

B. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Step-by-step solution

Assertion (A) is true. When a balanced electrochemical cell reaction is multiplied by an integer, the number of moles of electrons transferred ( n ) is multiplied by that integer. Since _ r G^ = -nFE_ cell ^ , the value of _ r G^ is doubled when the reaction is multiplied by 2 . However, the standard cell potential ( E_ cell ^ ) does not change. Reason (R) is true and is the correct explanation for Assertion (A). E_ cell ^ is an intensive property, meaning it is independent of the amount of substance and depends on

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