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Multiple Choice
A solution is prepared by dissolving 43.0 g potassium chlorate, KClO3, in enough water to make 100.0 mL of solution. If the density of the solution is 1.760 g/mL, what is the molality of KClO3 in the solution?
A
1.99 m
B
3.51 m
C
2.64 m
D
4.70 m
Verified step by step guidance
1
Calculate the number of moles of KClO3. First, find the molar mass of KClO3 by adding the atomic masses of potassium (K), chlorine (Cl), and three oxygen (O) atoms. Use the periodic table to find these values.
Convert the mass of KClO3 to moles using the formula: \( \text{moles of KClO3} = \frac{\text{mass of KClO3}}{\text{molar mass of KClO3}} \).
Determine the mass of the solution using its volume and density. Use the formula: \( \text{mass of solution} = \text{density} \times \text{volume} \).
Calculate the mass of the solvent (water) by subtracting the mass of KClO3 from the total mass of the solution.
Find the molality of the solution using the formula: \( \text{molality} = \frac{\text{moles of solute}}{\text{kilograms of solvent}} \). Convert the mass of the solvent from grams to kilograms before using it in the formula.