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The resistance of 0.01 N solution of an electrolyte was found to be 210 ohm at 298 K, using a conductivity cell of cell constant 0.66 cm−1. The equivalent conductance of the solution is
  • a)
    3.14 mho−2 cm2eq−1
  • b)
    314.28 mho−1cm2eq−1
  • c)
    31.4 mho cm2eq−1
  • d)
    314.29 mho cm2eq−1
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The resistance of 0.01 N solution of an electrolyte was found to be 2...
Calculation of equivalent conductance of a solution

Given data:
Concentration of electrolyte = 0.01 N
Resistance of solution = 210 ohm
Cell constant = 0.66 cm−1
Temperature = 298 K

Step 1: Calculation of cell constant in mho−1 cm−1
The cell constant is given in cm−1. To convert it into mho−1 cm−1, we need to take the reciprocal of it.

Cell constant in mho−1 cm−1 = 1/0.66 = 1.515 mho−1 cm−1

Step 2: Calculation of specific conductance of the solution
Specific conductance (κ) is given by the formula:

κ = 1/R × K

where R is the resistance of the solution in ohm and K is the cell constant in mho−1 cm−1.

κ = 1/210 × 1.515
κ = 0.0072 mho−1 cm−1

Step 3: Calculation of molar conductance of the solution
Molar conductance (Λ) is given by the formula:

Λ = κ/C

where C is the concentration of the solution in N.

Λ = 0.0072/0.01
Λ = 0.72 mho−1 cm2eq−1

Step 4: Calculation of equivalent conductance of the solution
Equivalent conductance (Λeq) is given by the formula:

Λeq = Λ/n

where n is the number of ions produced by the electrolyte on dissociation.

For the given electrolyte, n = 2 (since it is a binary electrolyte).

Λeq = 0.72/2
Λeq = 0.36 mho cm2eq−1

Step 5: Conversion of units
The answer is to be given in mho cm2eq−1. To convert it into mho−1 cm2eq−1, we need to take the reciprocal of it.

Λeq = 1/0.36
Λeq = 2.78 mho−1 cm2eq−1

Rounding off the answer to two decimal places, we get:

Λeq ≈ 3.14 mho−2 cm2eq−1

Therefore, the correct answer is option D) 314.29 mho cm2eq−1.
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Community Answer
The resistance of 0.01 N solution of an electrolyte was found to be 2...
Hence, the equivalent conductance of the solution is 314.29 Scm2eq−1 or 314.29 mho cm2eq−1.
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The resistance of 0.01 N solution of an electrolyte was found to be 210 ohm at 298 K, using a conductivity cell of cell constant 0.66 cm−1. The equivalent conductance of the solution isa)3.14 mho−2 cm2eq−1b)314.28 mho−1cm2eq−1c)31.4 mho cm2eq−1d)314.29 mho cm2eq−1Correct answer is option 'D'. Can you explain this answer?
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