The Question is from neet-chemistry basic-chemistry-concepts concentration-methods, and it was created by the author A.RAMA NAGESWARARAO

Question

If 1 kg of solvent contains 2 moles of solute, what is the molality of the solution?

A.RAMA NAGESWARARAO · Accepted Answer

## CORE INFORMATION
✓ **Answer**: [B]
## CONCEPT FRAMEWORK
    **Primary Concept**: Molality
    **Related Topics**: Molarity, concentration
    **Prerequisites**: Understanding of moles, mass, and solution concentration
## SOLUTION PATHWAY
**Given Information**:
        - Mass of solvent = 1 kg
        - Moles of solute = 2 moles
**Method & Steps**:
    1. Calculate molality using the formula:
        Reasoning: Molality is defined as the number of moles of solute per kilogram of solvent.
        Formula/Rule: $$ m = \frac{n}{m_{solvent}} $$
    2. Substitute the values into the formula:
        Working: $$ m = \frac{2 \text{ moles}}{1 \text{ kg}} = 2 	ext{ molal} $$
        Key Point: The mass of the solvent is given in kg, making the calculation straightforward.
    3. Result: The molality of the solution is 2 molal.
        Verification: Confirming the formula used and the values substituted leads to the final answer.
 ## OPTION ANALYSIS
[A] :x: [1 molal is incorrect because the calculation yields 2 molal.]
[B] ✓: [2 molal is correct as it directly corresponds to the calculation based on the given moles of solute and mass of solvent.]
[C] :x: [0.5 molal is incorrect; it suggests a misunderstanding of the units or values used in the calculation.]
[D] :x: [4 molal is incorrect as it would imply a different ratio of moles of solute to mass of solvent.]
 ## LEARNING AIDS
    **Common Mistakes**:
        1. Confusing molality with molarity: Remember that molality uses mass of solvent, while molarity uses volume of solution.
        2. Misreading the units: Ensure you are using kg for solvent mass in molality calculations.
    **Quick Tips**:
        1. Always check the units: Confirm that the solvent mass is in kilograms before calculating molality.
        2. Memorize the formula for molality: $$ m = \frac{n}{m_{solvent}} $$ to reinforce understanding.

A.RAMA NAGESWARARAO · Answer

1 molal

A.RAMA NAGESWARARAO · Answer

The correct Option is "2 molal"

A.RAMA NAGESWARARAO · Answer

0.5 molal

A.RAMA NAGESWARARAO · Answer

4 molal

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