Which of the following statements are correct for dilute solutions?

(A). The elevation in boiling point is directly proportional to the molality of the solution.
(B). The elevation in boiling point is inversely proportional to the molality of the solution.
(C). The depression in freezing point is directly proportional to the molality of the solution.
(D). The depression in freezing point is inversely proportional to the molality of the solution.

Choose the correct answer from the options given below:

(A) and (C) only

The correct answer is Option (2) → (A) and (C) only

Analysis of Statements

Elevation in Boiling Point ($\Delta T_b$):

For a dilute solution, the elevation in boiling point is directly proportional to the molal concentration ($m$) of the solute.

• Formula: $\Delta T_b = K_b \times m$

• Therefore, Statement (A) is correct and (B) is incorrect.

Depression in Freezing Point ($\Delta T_f$):

Similarly, the depression in freezing point is also directly proportional to the molal concentration ($m$) of the solute.

• Formula: $\Delta T_f = K_f \times m$

• Therefore, Statement (C) is correct and (D) is incorrect. 

Hence, Option (2) → (A) and (C) only is the answer.