Question

What is the SI unit of molar conductivity?

• A. \(\text{S m}^{2}\text{mol}^{-1}\)
• B. \(\Omega ^{-1}\text{cm}^{2}\text{mol}^{-1}\)
• C. \(\text{Sm}^{-2}\text{mol}^{-1}\)
• D. \(\Omega ^{-1}\text{cm}^{-2}\text{mol}^{-1}\)

Hint:

Molar conductivity is conductivity divided by concentration, so combine the SI units of each.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept
Molar conductivity is \(\Lambda_m=\dfrac{\kappa}{c}\).

Step 2: SI Units
Conductivity \(\kappa\) is in S m\(^{-1}\) and concentration \(c\) is in mol m\(^{-3}\).

Step 3: Calculation
\(\Lambda_m=\dfrac{\text{S m}^{-1}}{\text{mol m}^{-3}}=\text{S m}^{2}\text{ mol}^{-1}\)
This is option (A).

Final Answer:
The SI unit of molar conductivity is S m squared per mole. \[ \boxed{\text{(A) }\text{S m}^{2}\text{mol}^{-1}} \]