Question

The conductivity of centimolar solution of KCI at 25°C is 0.0210 ohm^-1cm^-1 and the resistance of the cell containing the solution at 25°C is 60 ohm. The value of the cell constant is :

• A. 3.28 cm^-1
• B. 1.26 cm^-1
• C. 3.34 cm^-1
• D. 1.34 cm^-1

Answer 1

The Correct Option is B

Cell Constant Calculation 

The cell constant \( l \) is given by the formula:

\[ l = k \times R \] where: - \( k \) is the conductivity (in ohm\(^{-1}\)cm\(^{-1}\)), - \( R \) is the resistance (in ohms).

Step 1: Substituting Given Values

We are given the following values: - Conductivity \( k = 0.0210 \, \text{ohm}^{-1}\text{cm}^{-1} \) - Resistance \( R = 60 \, \text{ohms} \) Substituting these values into the formula: \[ l = 0.0210 \, \text{ohm}^{-1}\text{cm}^{-1} \times 60 \, \text{ohms} \]

Step 2: Calculating the Cell Constant

Now, we calculate the value of \( l \): \[ l = 0.0210 \times 60 = 1.26 \, \text{cm}^{-1} \]

Conclusion:

The cell constant \( l \) is \( 1.26 \, \text{cm}^{-1} \).

Final Answer:

The correct option is (B): \( 1.26 \, \text{cm}^{-1} \).