Question:
Two solutions have concentration ratio \(0.4\) and conductivity ratio \(0.2\). What is the ratio of their molar conductivities?
Two solutions have concentration ratio \(0.4\) and conductivity ratio \(0.2\). What is the ratio of their molar conductivities?
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Molar conductivity is conductivity divided by concentration, so divide the two ratios.
Updated On: Nov 12, 2026
- \(0.1\)
- \(0.2\)
- \(0.5\)
- \(0.4\)
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept
Molar conductivity is \(\Lambda_m = \dfrac{\kappa \times 1000}{C}\).
Step 2: Take the Ratio
\(\dfrac{\Lambda_1}{\Lambda_2} = \dfrac{\kappa_1}{\kappa_2}\times\dfrac{C_2}{C_1}\)
Step 3: Calculation
\(\dfrac{\kappa_1}{\kappa_2} = 0.2\) and \(\dfrac{C_1}{C_2} = 0.4\)
\(\dfrac{\Lambda_1}{\Lambda_2} = \dfrac{0.2}{0.4} = 0.5\)
Final Answer:
The ratio of the molar conductivities is 0.5. \[ \boxed{\text{(C) }0.5} \]
Molar conductivity is \(\Lambda_m = \dfrac{\kappa \times 1000}{C}\).
Step 2: Take the Ratio
\(\dfrac{\Lambda_1}{\Lambda_2} = \dfrac{\kappa_1}{\kappa_2}\times\dfrac{C_2}{C_1}\)
Step 3: Calculation
\(\dfrac{\kappa_1}{\kappa_2} = 0.2\) and \(\dfrac{C_1}{C_2} = 0.4\)
\(\dfrac{\Lambda_1}{\Lambda_2} = \dfrac{0.2}{0.4} = 0.5\)
Final Answer:
The ratio of the molar conductivities is 0.5. \[ \boxed{\text{(C) }0.5} \]
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