MHT CET · Chemistry · Electrochemistry
The resistance of \(0.2 \mathrm{M}\) solution of an electrolyte is \(30 \mathrm{ohm}\) and conductivity are \(1.2 \mathrm{~S} \mathrm{~m}^{-1}\). What is the value of cell constant?
- A \(0.47 \mathrm{~cm}^{-1}\)
- B \(0.1 \mathrm{~cm}^{-1}\)
- C \(0.36 \mathrm{~cm}^{-1}\)
- D \(0.2 \mathrm{~cm}^{-1}\)
Answer & Solution
Correct Answer
(C) \(0.36 \mathrm{~cm}^{-1}\)
Step-by-step Solution
Detailed explanation
\(\text { Conductivity }(\mathrm{k})=\frac{1}{\mathrm{R}} \cdot \frac{1}{\mathrm{~A}} \quad \frac{1}{\mathrm{~A}}=\) \(\text {cell constant} \)
\( \frac{1}{\mathrm{~A}}=\mathrm{k} \times \mathrm{R}=1.2 \times 30 \)
\( =36 \mathrm{~m}^{-1} \)
\( =\frac{36}{100} \mathrm{~cm}^{-1} \)
\( \frac{1}{\mathrm{~A}}=0.36 \mathrm{~cm}^{-1}\)
\( \frac{1}{\mathrm{~A}}=\mathrm{k} \times \mathrm{R}=1.2 \times 30 \)
\( =36 \mathrm{~m}^{-1} \)
\( =\frac{36}{100} \mathrm{~cm}^{-1} \)
\( \frac{1}{\mathrm{~A}}=0.36 \mathrm{~cm}^{-1}\)
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