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Assertion: The emf of a cell is related ...

Assertion: The emf of a cell is related with equilibrium constant of the cell reaction as `E_(cell)=(0.0591)/(n)log" "K`.
Reason: As `E_(cell)` changes with concentration of the electrodes, K of cell reaction also changes with concentration.

A

If both assertion and reason are true, and reason is the true explanation of the assertion

B

if both assertion and reason are true, but reason is not the true explanation of the assertion.

C

if assertion is true, but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided, and determine their validity. ### Step 1: Understanding the Assertion The assertion states that the emf (electromotive force) of a cell is related to the equilibrium constant (K) of the cell reaction by the equation: \[ E_{\text{cell}} = \frac{0.0591}{n} \log K \] This equation is derived from the Nernst equation, which relates the cell potential to the concentrations of the reactants and products at non-standard conditions. The relationship indicates that the emf of the cell can be calculated if the equilibrium constant is known, and vice versa. ### Step 2: Analyzing the Reason The reason states that as \(E_{\text{cell}}\) changes with the concentration of the electrodes, the equilibrium constant \(K\) of the cell reaction also changes with concentration. However, this statement is misleading. The equilibrium constant \(K\) is a function of temperature and does not change with the concentration of reactants or products at a given temperature. It is only the reaction quotient \(Q\) that changes with concentration, and it is \(Q\) that relates to \(E_{\text{cell}}\) through the Nernst equation. ### Step 3: Conclusion Based on the analysis: - The assertion is **true** because it correctly states the relationship between \(E_{\text{cell}}\) and \(K\). - The reason is **false** because it incorrectly states that \(K\) changes with concentration. ### Final Answer Thus, the correct conclusion is: - Assertion: True - Reason: False

To solve the question, we need to analyze both the assertion and the reason provided, and determine their validity. ### Step 1: Understanding the Assertion The assertion states that the emf (electromotive force) of a cell is related to the equilibrium constant (K) of the cell reaction by the equation: \[ E_{\text{cell}} = \frac{0.0591}{n} \log K \] This equation is derived from the Nernst equation, which relates the cell potential to the concentrations of the reactants and products at non-standard conditions. The relationship indicates that the emf of the cell can be calculated if the equilibrium constant is known, and vice versa. ...
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