COMEDK 2024 Shift 1 Paper

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=‌

V

I

where V is the potential difference (40V) and I is the current (0.4A).
2. Calculate the conductivity ( κ ) using the relationship:
κ=‌

1

R

⋅‌

l

A

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(‌

d

2

)2

3. Finally, calculate the molar conductivity (Λm) using the formula:
Λm=‌

κ

C

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=‌

V

I

=‌

40V

0.4A

=100Ω

Step 2: Calculate the cross-sectional area (A)
‌d=4.0‌cm⇒‌ radius ‌=‌

d

2

=2.0‌cm
‌A=π(2.0‌cm)2=4πcm2

Step 3: Calculate the conductivity ( κ )
‌κ=‌

1

R

⋅‌

l

A

=‌

1

100Ω

⋅‌

12‌cm

4πcm2

=‌

12

400π

S∕cm
‌κ=‌

12

400π

S∕cm=‌

12

1256.64

S∕cm≈0.009546S∕cm

Step 4: Calculate the molar conductivity (Λm)
Λm=‌

κ

C

=‌

0.009546 s∕cm

0.1M

=0.09546 scm2mol−1
Matching the calculated value with the options provided, the closest option is:
Option B: 95.5Scm2mol−1