To determine the molar conductivity
(Λm) of the solution, we need to follow these steps:
1. Calculate the resistance
(R) of the solution using Ohm's Law:
R=‌where
V is the potential difference
(40V) and
I is the current
(0.4A).
2. Calculate the conductivity (
κ ) using the relationship:
κ=‌⋅‌where
l is the length of the column
(12‌cm) and
A is the cross-sectional area of the column. The area
A can be calculated using the diameter
(d) as follows:
A=π(‌)2 3. Finally, calculate the molar conductivity
(Λm) using the formula:
Λm=‌where
C is the concentration of the solution
(0.1M).
Let's go through the steps one by one:
Step 1: Calculate the resistance
(R)R=‌=‌=100Ω Step 2: Calculate the cross-sectional area
(A)‌d=4.0‌cm⇒‌ radius ‌=‌=2.0‌cm‌A=π(2.0‌cm)2=4πcm2 Step 3: Calculate the conductivity (
κ )
‌κ=‌⋅‌=‌⋅‌=‌S∕cm‌κ=‌S∕cm=‌S∕cm≈0.009546S∕cm Step 4: Calculate the molar conductivity
(Λm)Λm=‌=‌=0.09546 scm2mol−1Matching the calculated value with the options provided, the closest option is:
Option B:
95.5Scm2mol−1