Q47 / 150 · MHT CET 2022 (08 Aug Shift 1) · Chemistry

What is the value of conductivity of $0.01 \mathrm{M}$ solution of an electrolyte having molar conductivity $141 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ ?

  • A
    $5.64 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  • Correct answer
    B
    $1.41 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  • C
    $4.23 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  • D
    $7.09 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} \Lambda_m & =\frac{K \times 1000}{M} \\ K & =\frac{\Lambda_m \times M}{1000}=\frac{141 \times 0.01}{1000} \\ & =1.41 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}\end{aligned}$

Hence, the correct answer is option: 'B'.

Relevant Questions