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Ch.13 - Properties of Solutions
All textbooksBrown 14th EditionCh.13 - Properties of SolutionsProblem 48c
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Chapter 13, Problem 48c

Ascorbic acid (vitamin C, C6H8O6) is a water-soluble vitamin. A solution containing 80.5 g of ascorbic acid dissolved in 210 g of water has a density of 1.22 g/mL at 55 °C. Calculate (c) the molality,

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molality

Molality is a measure of the concentration of a solute in a solution, defined as the number of moles of solute per kilogram of solvent. It is particularly useful in situations where temperature changes may affect the volume of the solution, as it is based on mass rather than volume. The formula for calculating molality (m) is m = moles of solute / mass of solvent (in kg).
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Molality

Moles of Solute

To calculate molality, one must first determine the number of moles of the solute, which in this case is ascorbic acid. The number of moles can be calculated using the formula: moles = mass (g) / molar mass (g/mol). The molar mass of ascorbic acid (C6H8O6) is approximately 176.12 g/mol, which is essential for converting grams of ascorbic acid into moles.
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Density and Volume Relationship

Density is defined as mass per unit volume (g/mL), and it plays a crucial role in determining the volume of the solvent when given its mass. In this problem, the density of the solution is provided, allowing us to calculate the volume of the water used. Understanding the relationship between mass, density, and volume is essential for accurately determining the mass of the solvent in kilograms for the molality calculation.
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Related Practice
Textbook Question

What is the molarity of each of the following solutions: (b) 5.25 g of Mn(NO3)2⋅2H2O in 175 mL of solution,

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Textbook Question
Suppose that one wishes to use reverse osmosis to reduce the salt content of brackish water containing 0.22 M total salt concentration to a value of 0.01 M, thus render- ing it usable for human consumption. What is the mini- mum pressure that needs to be applied in the permeators (Figure 18.20) to achieve this goal, assuming that the oper- ation occurs at 298 K? (Hint: Refer to Section 13.5.)
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Textbook Question

Ascorbic acid (vitamin C, C6H8O6) is a water-soluble vitamin. A solution containing 80.5 g of ascorbic acid dissolved in 210 g of water has a density of 1.22 g/mL at 55 °C. Calculate (a) the mass percentage,

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Textbook Question

The density of acetonitrile (CH3CN) is 0.786 g/mL and the density of methanol (CH3OH) is 0.791 g/mL. A solution is made by dissolving 22.5 mL of CH3OH in 98.7 mL of CH3CN. (a) What is the mole fraction of methanol in the solution?

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Textbook Question

The density of acetonitrile (CH3CN) is 0.786 g/mL and the density of methanol (CH3OH) is 0.791 g/mL. A solution is made by dissolving 22.5 mL of CH3OH in 98.7 mL of CH3CN. (b) What is the molality of the solution?

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Textbook Question

The density of acetonitrile (CH3CN) is 0.786 g/mL and the density of methanol (CH3OH) is 0.791 g/mL. A solution is made by dissolving 22.5 mL of CH3OH in 98.7 mL of CH3CN. (c) Assuming that the volumes are additive, what is the molarity of CH3OH in the solution?

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