Electrochemistry · Question 35

Given below is the plot of the molar conductivity vs concentration for KCl in aqueous solution. [figure] If, for the higher concentration of KCl solution, the resistance of the conductivity cell is 100 , then the resistance of the same cell with the dilute solution is 'x' . The value of x is (Nearest integer)

Answer

150

Solution

From the graph:

Dilute solution: C1 = 0.1 C1 = 0.01 mol L-1, m1 = 150 S cm2 mol-1

Concentrated solution: C2 = 0.15 C2 = 0.0225 mol L-1, m2 = 100 S cm2 mol-1

= m C1000 and for the same cell = G*R, so R 1 mC

R1R2 = m2C2 m1C1

= 100 0.0225150 0.01 = 2.251.5 = 1.5

R1 = 1.5 100 = 150

Answer: 150