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MHT CET 202622 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
22 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

MHT CET 2026 · 22 April · Evening Shift · Chemistry · Electrochemistry

What is the cell constant of a cell containing a solution of...

What is the cell constant of a cell containing a solution of resistance 9090 Ohm with conductivity 2×10−3 Ohm−1cm−12 \times 10^{-3}\ \text{Ohm}^{-1}\text{cm}^{-1}?

Options

  1. A0.50 cm−10.50\ \text{cm}^{-1}
  2. B0.18 cm−10.18\ \text{cm}^{-1}
  3. C0.029 cm−10.029\ \text{cm}^{-1}
  4. D0.70 cm−10.70\ \text{cm}^{-1}

Correct answer

B. 0.18 cm−10.18\ \text{cm}^{-1}

Step-by-step solution

The cell constant G∗G^* is related to conductivity κ\kappa and resistance RR by the formula:

G∗=κ×RG^* = \kappa \times R

Given:
κ=2×10−3 Ω−1cm−1\kappa = 2 \times 10^{-3}\ \Omega^{-1}\text{cm}^{-1}
R=90 ΩR = 90\ \Omega

Substituting the values:

G∗=(2×10−3)×90G^* = (2 \times 10^{-3}) \times 90

G∗=180×10−3 cm−1G^* = 180 \times 10^{-3}\ \text{cm}^{-1}

G∗=0.18 cm−1G^* = 0.18\ \text{cm}^{-1}

Answer: 0.18 cm−10.18\ \text{cm}^{-1}
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