Which of the following statements is incorrect about cell constant?a)It depends on the distance between the electrodes and their area of cross sectionb)It is represented by the symbol G*c)It has the dimensions length-2d)It is calculated by the expression G* = l/ACorrect answer is option 'C'. Can you explain this answer?

Question

Answer

The correct answer is Option C.
Cell constant can be defined as the ratio of the distance between conductance-titration electrodes to the area of the electrodes, measured from the determined resistance of a solution of known specific conductance. It has dimension length^-1

Answer

Cell constant is a ratio of length and area.SI unit of length is metre, while that of area is m^2.Thus the SI unit of ratio will be:(m)/(m^2)=m^(-1).Therefore the SI unit of cell constant will be metre inverse.

Answer

The incorrect statement about cell constant is option 'C', which states that cell constant has the dimensions length-2.

Explanation:

Cell constant is a term used in the field of electrochemistry to describe the proportionality factor between the conductivity of an electrolyte solution and the measured conductance using a conductivity cell. It is an important parameter used to convert conductance measurements into actual conductivity values.

1. Definition of cell constant:
The cell constant is defined as the ratio of the distance between the electrodes (l) to the cross-sectional area of the electrodes (A). It is denoted by the symbol G*.

2. Correct representation of cell constant:
The correct representation of cell constant is given by option 'B', which states that it is represented by the symbol G*.

3. Calculation of cell constant:
The cell constant can be calculated using the expression G* = l/A, where l is the distance between the electrodes and A is the cross-sectional area of the electrodes. This equation shows that the cell constant is inversely proportional to the distance between the electrodes and directly proportional to the area of cross-section.

4. Dimensions of cell constant:
The dimensions of cell constant can be determined by substituting the dimensions of distance (length) and area (length^2) into the equation G* = l/A. The dimensions of l cancel out, leaving the dimensions of G* as length^-2.

5. Incorrect statement:
Option 'C' states that the cell constant has the dimensions length-2, which is incorrect. The correct dimensions of cell constant are length^-2.

In conclusion, the cell constant is represented by the symbol G* and has dimensions of length^-2. Option 'C' is the incorrect statement about cell constant.

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