The molar conductivity of KCl solutions at different concentration at 298K are given below :
`{:(C//"mol L"^(-1),wedge_(m)//S cm^(2)"mol"^(-1)),(0.000198,148.61),(0.000309,148.29),(0.000521,147.81),(0.000987,143.09):}`
Show that a plot between `wedge_(m) and C^(1//2)` is a straight line. Determine the values of `wedge_(m)^(0) and wedge` for KCl.

Explanation

To solve the problem, we need to show that a plot of molar conductivity (Λ_m) against the square root of concentration (C^(1/2)) is a straight line. We will also determine the values of Λ_m^0 (the limiting molar conductivity) and the slope (a) for KCl.

### Step-by-Step Solution

1. **List the Given Data:**
The molar conductivity (Λ_m) values at different concentrations (C) are:
- C = 0.000198 mol/L, Λ_m = 148.61 S cm²/mol
- C = 0.000309 mol/L, Λ_m = 148.29 S cm²/mol
...