The conductivity of N/10 KCl solution at 20°C is 0.0212 S cm&ndash...
Given information:
- Conductivity of N/10 KCl solution at 20°C = 0.0212 S cm^(-1)
- Resistance of cell containing the solution at 20°C = 55 ohm
To find:
Cell constant
Solution:
The conductivity of a solution is given by the equation:
Conductivity = (1 / Resistance) x Cell constant
We are given the conductivity and resistance, so we can rearrange the equation to solve for the cell constant:
Cell constant = Conductivity x Resistance
Substituting the given values into the equation, we get:
Cell constant = 0.0212 S cm^(-1) x 55 ohm
Calculating the product, we find:
Cell constant = 1.166 S cm^(-1)
Therefore, the correct answer is option 'B' (1.166 cm^(-1)).
Summary:
The cell constant is calculated using the equation Cell constant = Conductivity x Resistance. Substituting the given values, we find the cell constant to be 1.166 cm^(-1).
The conductivity of N/10 KCl solution at 20°C is 0.0212 S cm&ndash...
Given information:
- Conductivity of N/10 KCl solution at 20C is 0.0212 S cm-1
- Resistance of cell containing this solution at 20C is 55 ohm
Definition:
- Conductivity is the measure of a solution's ability to conduct electric current.
- Resistance is the measure of opposition to the flow of electric current.
- Cell constant is the ratio of the distance between the electrodes and the cross-sectional area of the electrodes.
Calculating the cell constant:
- The formula to calculate the cell constant is:
Cell constant (K) = Conductivity (κ) / Resistance (R)
- Substituting the given values:
K = 0.0212 S cm-1 / 55 ohm
K = 0.0212 / 55 cm-1
K = 0.000385 cm-1
- The cell constant is 0.000385 cm-1.
Checking the options:
a) 2.173 cm-1
b) 1.166 cm-1 (Correct Answer)
c) 4.616 cm-1
d) 3.324 cm-1
Explanation:
- The correct answer is option 'B' because it matches the calculated cell constant value of 0.000385 cm-1.
- The other options do not match the calculated value, so they are incorrect.
Conclusion:
- The cell constant of the N/10 KCl solution at 20C is 1.166 cm-1, which corresponds to option 'B'.