Resistance of a conductivity cell (cell constant 129 m–1) filled with 74.5 ppm solution of KCl is 100 Ω (labeled as solution 1). When the same cell is filled with KCl solution of 149 ppm, the resistance is 50 Ω (labeled as solution 2). The ratio of molar conductivity of solution 1 and solution 2 is i.e. ∧1∧2 = x × 10−3. The value of x is______. (Nearest integer)Given, molar mass of KCl is 74.5 g mol–1.
Question
Resistance of a conductivity cell (cell constant 129 m–1) filled with 74.5 ppm solution of KCl is 100 Ω (labeled as solution 1). When the same cell is filled with KCl solution of 149 ppm, the resistance is 50 Ω (labeled as solution 2). The ratio of molar conductivity of solution 1 and solution 2 is i.e. ∧1∧2 = x × 10−3. The value of x is______. (Nearest integer)Given, molar mass of KCl is 74.5 g mol–1.
Solution
The molar conductivity (Λ) is given by the equation Λ = K/R, where K is the cell constant and R is the resistance.
For solution 1, we have: Λ1 = K/R1 = 129 m^-1 / 100 Ω = 1.29 m^-1 Ω^-1
For solution 2, we have: Λ2 = K/R2 = 129 m^-1 / 50 Ω = 2.58 m^-1 Ω^-1
The ratio of molar conductivity of solution 1 to solution 2 is therefore: Λ1/Λ2 = 1.29 m^-1 Ω^-1 / 2.58 m^-1 Ω^-1 = 0.5
So, the value of x is 0.5 × 10^3 = 500.
Therefore, the nearest integer value of x is 500.
Similar Questions
The resistivity of a column of 0.1 M KCl solution is 77.51 ohm·cm. The molar conductivity of KCl solution is
The cell constant of a conductivity cell is 0.146 cm-1. What is the conductivity of 0.01 M solutionof an electrolyte at 298 K, if the resistance of the cell is 1000 ohm?
Express the relation among cell constant, resistance of the solution in the cell and conductivity of the solution. How is molar conductivity of a solution related to its conductivity?
Which of the following solutions of KCl has the lowest value of molar conductance ?(A) 1 M (B) 0.1 M (C) .01 M (D) .001
If 0.01 M solution of an electrolyte has a resistance of 40 ohms in a cell having a cell constant of 0.4 cm–1 then its molar conductance in ohm–1 cm2 mol–1 is :10 S cm2mol–1102 S cm2mol–1103 S cm2mol–1104 S cm2mol–1
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.