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The units of cell constant are...

The units of cell constant are

A

`ohm^(-1)`

B

`ohm-cm`

C

`cm^(-1)`

D

`ohm^(-1) cm^(2) eq^(-1)`

Text Solution

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The correct Answer is:
To find the units of the cell constant, we can follow these steps: ### Step 1: Understand the Definition of Cell Constant The cell constant (G*) is defined as the ratio of the distance between the electrodes (L) to the area of the cross-section of the electrodes (A). Mathematically, it can be expressed as: \[ G^* = \frac{L}{A} \] ### Step 2: Identify the Units of Length and Area - The unit of length (L) is typically measured in centimeters (cm) or meters (m). - The unit of area (A) is measured in square centimeters (cm²) or square meters (m²). ### Step 3: Substitute the Units into the Cell Constant Formula Using the units for length and area, we can substitute them into the formula for the cell constant: \[ G^* = \frac{L \text{ (cm)}}{A \text{ (cm}^2\text{)}} \] ### Step 4: Simplify the Units When we substitute the units into the equation, we have: \[ G^* = \frac{\text{cm}}{\text{cm}^2} \] This simplifies to: \[ G^* = \frac{1}{\text{cm}} \] or in SI units: \[ G^* = \frac{1}{\text{m}} \] ### Step 5: Conclusion Thus, the units of the cell constant are: - In CGS (centimeter-gram-second) units: \( \text{cm}^{-1} \) - In SI (International System of Units): \( \text{m}^{-1} \) ### Final Answer The units of the cell constant are \( \text{cm}^{-1} \) or \( \text{m}^{-1} \). ---

To find the units of the cell constant, we can follow these steps: ### Step 1: Understand the Definition of Cell Constant The cell constant (G*) is defined as the ratio of the distance between the electrodes (L) to the area of the cross-section of the electrodes (A). Mathematically, it can be expressed as: \[ G^* = \frac{L}{A} \] ### Step 2: Identify the Units of Length and Area - The unit of length (L) is typically measured in centimeters (cm) or meters (m). ...
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