Question

A solution is made by dissolving 1 kilo mole of solute in 2000 kg of solvent. The molality of the solution is:

• A. \(\text{2}\)
• B. \(\text{1}\)
• C. \(\text{0.5}\)
• D. \(\text{1.5}\)

Hint:

Molality (\( m \)) is expressed in moles of solute per kg of solvent and is important in colligative property calculations.

Answer 1

The Correct Option is C

Step 1: Understanding molality (\( m \)). 
- Molality is calculated as the moles of solute divided by the mass of solvent (in kg). 
Step 2: Applying the formula. 
- Moles of solute = 1 kmol = 1000 moles 
- Mass of solvent = 2000 kg 

\[m = \frac{1000}{2000} = 0.5 \text{ mol/kg}\]

Step 3: Selecting the correct option. Since the calculated molality is \( 0.5 \) mol/kg, the correct answer is (C) 0.5.