Which of the following curve gives the variation of `Lambda_(m) "with" sqrtC " for " CH_(3)COOH` ?

Options

A.
B.
C.
D. None of these

Answer

To solve the question regarding the variation of molar conductivity (λ_m) with the square root of concentration (√C) for acetic acid (CH₃COOH), we can follow these steps:

### Step 1: Understand the Concept of Molar Conductivity
Molar conductivity (λ_m) is a measure of how well an electrolyte conducts electricity in solution. It is defined as the conductivity (κ) divided by the molar concentration (C) of the electrolyte.

### Step 2: Identify the Nature of Acetic Acid
Acetic acid is a weak electrolyte, which means it does not completely dissociate into ions in solution. This partial dissociation affects its molar conductivity.

### Step 3: Analyze the Relationship Between λ_m and √C
For weak electrolytes like acetic acid, the relationship between molar conductivity (λ_m) and the square root of concentration (√C) is not linear. As the concentration decreases (or √C increases), the molar conductivity initially increases but then levels off due to the limited ionization of the weak electrolyte.

### Step 4: Draw the Expected Curve
The expected curve for the variation of λ_m with √C for acetic acid will show an initial increase in molar conductivity with increasing √C, followed by a plateau as the concentration continues to decrease. This is typically represented as a concave curve that rises and then flattens out.

### Step 5: Evaluate the Given Options
In the question, we need to evaluate the provided curves to determine which one represents the expected behavior for acetic acid. The curves for strong electrolytes would show a linear relationship, which is not applicable here.

### Conclusion
Based on the analysis, the correct option is the one that does not show a linear relationship and reflects the behavior of a weak electrolyte like acetic acid.

### Final Answer
The correct option is that none of the provided curves represent the variation of λ_m with √C for acetic acid.

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