What is the conductivity of $0.01$ M NaCl solution if resistance and cell constant of NaCl solution are 375…

What is the conductivity of $0.01$ M NaCl solution if resistance and cell constant of NaCl solution are 375 ohms and $0.5 \mathrm{~cm}^{-1}$ respectively at $298 \mathrm{~K}$ ?
  1. $7.50 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  2. $1 \cdot 333 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  3. $1 \cdot 333 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{-1}$
  4. $1 \cdot 875 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$

Solution

Conductivity, $\mathrm{k}=\frac{\text { Cell constant }}{\mathrm{R}}=\frac{0.5 \mathrm{~cm}^{-1}}{375 \Omega}$ $\therefore \mathrm{k}=1.333 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$

Asked in: MHT CET 2020 (12 Oct Shift 2)

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