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STATEMENT-1 : The frezing point of 0.05 ...

STATEMENT-1 : The frezing point of `0.05 M` urea solution is different from that of `0.05`M sodium chloride solution.
STATEMENT-2 : The dpression in freezing point is directly proportional to the number of species present in the solution.

A

STATEMENT-1 is True, STATEMENT-2, is True, STATEMENT-2 is correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2, is True, STATEMENT-2 is NOT correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False STATEMENT-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements regarding the freezing point of solutions and the factors affecting it. ### Step-by-Step Solution: 1. **Understanding Freezing Point Depression**: - The freezing point of a solution is lower than that of the pure solvent. This phenomenon is known as freezing point depression (ΔTf). - The formula for freezing point depression is given by: \[ \Delta Tf = i \cdot K_f \cdot m \] where: - \( \Delta Tf \) = depression in freezing point - \( i \) = van 't Hoff factor (number of particles the solute dissociates into) - \( K_f \) = molal freezing point depression constant (specific to the solvent) - \( m \) = molality of the solution 2. **Analyzing Statement 1**: - We have two solutions: 0.05 M urea and 0.05 M sodium chloride (NaCl). - Urea does not dissociate in solution, so its van 't Hoff factor \( i \) is 1. - Sodium chloride dissociates into two ions (Na⁺ and Cl⁻), so its van 't Hoff factor \( i \) is 2. - Since the van 't Hoff factors are different, the depression in freezing point will also be different for these two solutions, leading to different freezing points. 3. **Analyzing Statement 2**: - Statement 2 claims that the depression in freezing point is directly proportional to the number of species present in the solution. - This is true because the value of \( i \) (the number of particles) directly affects the freezing point depression. A higher \( i \) leads to a greater depression in freezing point. 4. **Conclusion**: - Both statements are true: - Statement 1 is true because the freezing points of the two solutions are different due to the different van 't Hoff factors. - Statement 2 is true as it correctly explains why the freezing points differ, being directly proportional to the number of species (ions) in the solution. - Therefore, the correct option is that both statements are true, and Statement 2 is the correct explanation for Statement 1. ### Final Answer: Both statements are true, and Statement 2 is the correct explanation for Statement 1. ---
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