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

Taking the square root of concentration we obtain
`{:(c^(1//2)//(mol" "L^(-1))^(1//2),^^_(m)//S" "cm^(2)mol^(-1)),(0.01407,148.61),(0.01758,148.29),(0.02283,147.81),(0.03145,147.09):}`
A plot of `^^_(m)` (y-axis) and `c^(1//2)` (x-axis) is shown in (figure)
it can be seen that it is nearly a straight line. from the intercept
`(c^(1//2)=0)`, we find that
`^^_(m)^(@)=150.0S" "cm^(2)mol^(-1)` and
`A=-"slope"=87.46S" "cm^(2)mol^(-1)//(mol//L^(-1))^(1//2)`