The resistance of 1 ~N solution of acetic acid is 250 ohm , when measured in a cell of cell constant 1.15 ~cm^-1 . The equivalent conductance (in ohm ^-1 ~cm^2 equiv-1) of 1 ~N acetic acid will be

Correct answer: (A) 4.6. k=(Cell constant)/R=1.15/250 Λ_eq=1.15/250 × 1000/1=4.6

Q12 / 110 · VITEEE 2023 · Chemistry

The resistance of \(1 \mathrm{~N}\) solution of acetic acid is \(250 \mathrm{ohm}\), when measured in a cell of cell constant \(1.15 \mathrm{~cm}^{-1}\). The equivalent conductance (in ohm \({ }^{-1} \mathrm{~cm}^2\) equiv-1) of \(1 \mathrm{~N}\) acetic acid will be

Correct answer
A
4.6
B
9.2
C
18.4
D
0.023

Solution

\(\begin{aligned} & \mathrm{k}=\frac{\text { Cell constant }}{\mathrm{R}}=\frac{1.15}{250} \\ & \Lambda_{\mathrm{eq}}=\frac{1.15}{250} \times \frac{1000}{1}=4.6 \end{aligned}\)

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

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