What is the conductivity of 0.05 M NaOH solution having resistance 31.5 ohm and cell constant $0.315…

What is the conductivity of 0.05 M NaOH solution having resistance 31.5 ohm and cell constant $0.315 \mathrm{~cm}^{-1}$ ?
  1. $100 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}$
  2. $0.02 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}$
  3. $0.09 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}$
  4. $0.01 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} & k=\frac{1}{R} \times \frac{l}{A} \\ & =\frac{1}{31.5 \mathrm{ohm}} \times 0.315 \mathrm{~cm}^{-1} \\ \therefore \quad k & =0.01 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}\end{aligned}$

Asked in: MHT CET 2024 (16 May Shift 1)

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