Q43 / 150 · MHT CET 2021 (21 Sep Shift 1) · Chemistry

Which among the following statements is true for conductivity?

  • Correct answer
    A
    It is inversely proportional to resistivity.
  • B
    It is inversely proportional to molar conductivity.
  • C
    It is directly proportional to resistivity.
  • D
    It is directly proportional to resistance.

Solution

Specific conductance/ Conductivity (k): - It is defined as the reciprocal of specific resistance, or resistivity, $\mathrm{k}=\frac{1}{\rho}$ $$ \begin{aligned} & \mathrm{R}=\rho \frac{\ell}{\mathrm{A}} \\ & \frac{1}{\rho}=\frac{1}{\mathrm{R}} \cdot \frac{\ell}{\mathrm{A}} \\ & \mathrm{k}=\mathrm{G} \times \mathrm{G}^* \end{aligned} $$ Specific conductance $=$ Conductance $\times$ Cell constant Hence specific conductivity of a solution is defined as the conductance offered by $1 \mathrm{~cm}^3$ of electrolytic solution. Unit of $\mathrm{k}$ is ohm ${ }^{-1} \mathrm{~cm}^{-1}$

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

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