At 298 K, the molar conductivity of x% (w/w) MX solution (aqueous) is 123.5 S cm2 mol-1. The conductance of same solution is 1.9 10-3 S. The value of x is 10-2. (Given: cell constant = 1.3 cm-1; molar mass of MX is 75 g mol-1, density of aqueous solution of MX at 298 K is 1.0 g mL-1)
Answer
15
Solution
Conductivity κ = G × cell constant = 1.9 10-3 S × 1.3 cm-1
⇒ κ = 2.47 10-3 S cm-1
m = 1000 C ⇒ C = 1000 2.47 10-3123.5 = 0.02 mol L-1
Mass of MX in 1 L = 0.02 × 75 = 1.5 g
Mass of 1 L solution = 1000 mL × 1.0 g mL-1 = 1000 g
⇒ x = 1.51000 100 = 0.15 = 15 × 10-2
Answer: 15