Question

According to the moving boundary method, the transport number of the cation \( t_{\text{+}} \) of the principle electrolyte is calculated using the formula Given: \( l \) is the length by which the boundary has moved. The electrolyte of concentration \( c \) is kept in a long vertical tube with area of cross section \( A \).

• A. \( \frac{l^2 c}{Q/F} \)
• B. \( \frac{l^2 c^2}{Q/F} \)
• C. \( \frac{l^3 c}{F/Q} \)
• D. \( \frac{l A c}{Q/F} \)

Hint:

The moving boundary method calculates the transport number by using the relationship between the length of boundary movement and the electrolyte's concentration.

Answer 1

The Correct Option is A

The transport number \( t_{\text{+}} \) is defined as the ratio of the rate of movement of the cation to the total rate of movement in the electrolyte. According to the moving boundary method, the formula for the transport number is: \[ t_{\text{+}} = \frac{l^2 c}{Q/F} \] Where: - \( l \) is the length by which the boundary has moved, - \( c \) is the concentration of the electrolyte, - \( Q \) is the total charge moved, and - \( F \) is the Faraday constant. This formula relates the transport number of the cation to the experimental parameters. Final Answer: \[ \boxed{\text{(1) } \frac{l^2 c}{Q/F}} \]