The molar conductivity of `KCl` solution at different concentrations at `298 K` is given below `:`
`{:(c or M (mol L^(-1)),wedge_(m)(Scm^(2)mol^(-1))),(0.000198,148.61),(0.000309,148.29),(0.000521,147.81),(0.000989,147.09):}`
Show that a plot between `wedge_(m)` and `sqrt(c)` is a straight line. Determine the value of `wedge_(m)^(@)` and `A` for `KCl` .

Explanation

Taking the square root of concentration, we obtain
`{:(c^(1//2)(mol" "L^(-1))^(1//2),wedge_(m)//S" "cm^(2)mol^(-1)),(0.01407,148.61),(0.01758,148.29),(0.02283,147.81),(0.03154,147.09):}`

A plot of `wedge_(m)` (y-axis) and `c^(1//2)` (x-axis) is shown in the adjoining fig:
It can be seen that it is nearly a straight line. from the intercept (i.e., when `c^(1//2)=0`), we find that
`wedge_(m)^(@)=150.0" S "cm^(2)mol^(-1)`
and `A=-"slope"=(Deltay)/(Deltax)=(150.0-147.0)/(0.034)`
`=88.23" S "cm^(2)mol^(-1)//(mol//L^(-1))^(1//2)`.