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The molar conductivity of KCl solution a...

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` .

Text Solution

Verified by Experts

Taking square root of concentration, we get
`{:(sqrt(c)[(mol L^(-1)^(1//2))],wedge_(m)(Scm^(2)mol^(-1))),(0.01407,148.61),(0.01758,148.29),(0.02283,147.81),(0.03145,147.09):}`

A plot of `wedge_(m)(y-` axis`)` and `sqrt(c)(x-ax i s)` is shwon in figure. It can be that it is nearly a straight line. From the intercept `(sqrt(c)=0)`, we find that
`wedge_(m)^(@)=150.0Scm^(2)mol^(-1)` and
` A=-Slope=87.46 S cm^(2) mol^(-1)//(mol L ^(-1))^(1/2)`
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