Table of contents

1. Intro to General Chemistry3h 48m
2. Atoms & Elements4h 16m
3. Chemical Reactions4h 10m
4. BONUS: Lab Techniques and Procedures1h 36m
5. BONUS: Mathematical Operations and Functions48m
6. Chemical Quantities & Aqueous Reactions3h 53m
7. Gases3h 49m
8. Thermochemistry2h 37m
9. Quantum Mechanics2h 58m
10. Periodic Properties of the Elements3h 9m
11. Bonding & Molecular Structure3h 29m
12. Molecular Shapes & Valence Bond Theory1h 57m
13. Liquids, Solids & Intermolecular Forces2h 23m
14. Solutions3h 1m
15. Chemical Kinetics2h 53m
16. Chemical Equilibrium2h 29m
17. Acid and Base Equilibrium5h 1m
18. Aqueous Equilibrium4h 47m
19. Chemical Thermodynamics1h 50m
20. Electrochemistry2h 42m
21. Nuclear Chemistry2h 36m
22. Organic Chemistry5h 7m
23. Chemistry of the Nonmetals2h 39m
24. Transition Metals and Coordination Compounds3h 16m

14. Solutions

Molality

General Chemistry

14. Solutions

Molality

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Multiple Choice

A solution of LiCl in water has a mole fraction of LiCl, X(LiCl) = 0.0800. What is the molality of the solution?

4.44 mol/kg

8.00 mol/kg

2.22 mol/kg

1.60 mol/kg

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Verified step by step guidance

Understand the concept of mole fraction: Mole fraction is the ratio of the number of moles of a component to the total number of moles in the solution. Here, the mole fraction of LiCl, X(LiCl), is given as 0.0800.

Calculate the moles of LiCl: Assume a total of 1 mole of solution for simplicity. Therefore, the moles of LiCl would be 0.0800 moles, and the moles of water would be 1 - 0.0800 = 0.9200 moles.

Convert moles of water to mass: Use the molar mass of water (approximately 18.015 g/mol) to convert moles to grams. The mass of water is calculated as 0.9200 moles × 18.015 g/mol = 16.5738 grams.

Convert mass of water to kilograms: Since molality is expressed in moles per kilogram of solvent, convert the mass of water from grams to kilograms by dividing by 1000. Thus, 16.5738 grams = 0.0165738 kg.

Calculate molality: Molality (m) is defined as the moles of solute per kilogram of solvent. Use the formula m = \frac{\text{moles of LiCl}}{\text{kilograms of water}} = \frac{0.0800}{0.0165738} to find the molality.