If X is the conductivity of the solution and M is the molarity of the solution, the molar conductivity of the solution is given by ________.

Options

A. `(1000 X)/M`
B. `(1000)/(MX)`
C. `(1000 M)/X`
D. `(MX)/1000`

Answer

B

Explanation

Resistivity `rho = X rArr` Conductivity `k = 1//X`
Molarity = M moles/L = M moles`// 1000 cm^(3)`
`lambda_(m) = k/M = (1//X)/(M//1000) = 1000/(MX) "ohm"^(-1) cm^(2) "mole"^(-1)`