Q64 / 240 · KCET 2026 · Chemistry
The conductivity of centimolar solution of KCl at $298$ K is $0.021\text{ Ohm}^{-1}\text{cm}^{-1}$ and the resistance of the cell containing the solution at $298$ K is $60\,\Omega$. The value of cell constant ($G^*$) is __________.
- A$3.28\text{ cm}^{-1}$
- Correct answerB$1.26\text{ cm}^{-1}$
- C$3.34\text{ cm}^{-1}$
- D$1.34\text{ cm}^{-1}$
Solution
The relationship between conductivity ($\kappa$), resistance ($R$), and cell constant ($G^*$) is given by:
$G^* = \kappa \times R$
Substituting the given values:
$\kappa = 0.021 \text{ Ohm}^{-1}\text{cm}^{-1}$
$R = 60 \, \Omega$
$G^* = 0.021 \times 60 = 1.26 \text{ cm}^{-1}$
Answer: $1.26\text{ cm}^{-1}$
$G^* = \kappa \times R$
Substituting the given values:
$\kappa = 0.021 \text{ Ohm}^{-1}\text{cm}^{-1}$
$R = 60 \, \Omega$
$G^* = 0.021 \times 60 = 1.26 \text{ cm}^{-1}$
Answer: $1.26\text{ cm}^{-1}$
Hence, the correct answer is option: 'B'.