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1. ⇒  (MHT CET 2023 12th May Evening Shift )

A conductivity cell containing 5 × 10 4   M   NaCl solution develops resistance 14000   ohms at 25 C . Calculate the conductivity of solution if the cell constant is 0.84   cm 1

A. 6.0 × 10 5 Ω 1   cm 1

B. 3.0 × 10 5 Ω 1   cm 1

C. 9.0 × 10 5 Ω 1   cm 1

D. 12.0 × 10 5 Ω 1   cm 1

Correct Option is (A)

k =  cell constant  R = 0.84   cm 1 14000 Ω = 6.0 × 10 5 Ω 1   cm 1

2. ⇒  (MHT CET 2023 11th May Morning Shift )

The molar conductivity of 0.02   M   AgI at 298   K is 142.3 Ω 1   cm 2   mol 1 . What is its conductivity?

A. 2.41 × 10 3 Ω 1   cm 1

B. 2.41 × 10 3 Ω 1   cm 1

C. 2.85 × 10 3 Ω 1   cm 1

D. 7.11 × 10 3 Ω 1   cm 1

Correct Option is (C)

= 1000 k c k = Λ c 1000 k = 142.3 Ω 1   cm 2   mol 1 × 0.02   mol   L 1 1000   cm 3   L 1 k = 2.85 × 10 3 Ω 1   cm 1

3. ⇒  (MHT CET 2023 10th May Evening Shift )

Calculate the conductivity of 0.02   M electrolyte solution if its molar conductivity 407.2 Ω 1   cm 2   mol 1 ?

A. 8.144 × 10 3 Ω 1   cm 1

B. 4.072 × 10 3 Ω 1   cm 1

C. 7.15 × 10 3 Ω 1   cm 1

D. 6.055 × 10 3 Ω 1   cm 1

Correct Option is (A)

Λ m = 1000 k c k = Λ m × c 1000 = 407.2 × 0.02 1000 = 8.144 × 10 3 Ω 1   cm 1

4. ⇒  (MHT CET 2023 10th May Morning Shift )

Conductivity of a solution is 1.26 × 10 2 Ω 1   cm 1 Calculate molar conductivity for 0.01   M solution.

A. 1.26 × 10 3 Ω 1   cm 2   mol 1

B. 2.52 × 10 3 Ω 1   cm 2   mol 1

C. 4.82 × 10 3 Ω 1   cm 2   mol 1

D. 6.30 × 10 3 Ω 1   cm 2   mol 1

Correct Option is (A)

Λ = 1000 k c = 1000   cm 3   L 1 × 1.26 × 10 2 Ω 1   cm 1 0.01   mol   L 1 = 1.26 × 10 3 Ω 1   cm 2   mol 1

5. ⇒  (MHT CET 2023 9th May Evening Shift )

What is the conductivity of 0.05   M   BaCl 2 solution if its molar conductivity is 220   Ω 1   cm 2   mol 1 ?

A. 0.011   Ω 1   cm 1

B. 0.022   Ω 1   cm 1

C. 0.033   Ω 1   cm 1

D. 0.044   Ω 1   cm 1

Correct Option is (A)

Λ = 1000 k c k = Λ c 1000 k = 220 Ω 1   cm 2   mol 1 × 0.05   mol   L 1 1000   cm 3   L 1 = 0.011 Ω 1   cm 1