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Ch.13 - Solutions & Their Properties
Chapter 13, Problem 78c

A 0.944 M solution of glucose, C6H12O6, in water has a density of 1.0624 g/mL at 20 °C. What is the concentration of this solution in the following units?(c) Molality

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Key Concepts

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

Molarity

Molarity (M) is a measure of concentration defined as the number of moles of solute per liter of solution. In this case, the glucose solution has a molarity of 0.944 M, indicating that there are 0.944 moles of glucose in every liter of the solution. Understanding molarity is essential for converting to other concentration units, such as molality.
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Molality

Molality (m) is defined as the number of moles of solute per kilogram of solvent. It differs from molarity as it focuses on the mass of the solvent rather than the total volume of the solution. To calculate molality, one must know the mass of the solvent, which can be derived from the solution's density and volume.
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Density

Density is the mass per unit volume of a substance, typically expressed in grams per milliliter (g/mL) or kilograms per liter (kg/L). In this problem, the density of the glucose solution is given as 1.0624 g/mL, which is crucial for determining the mass of the solvent when calculating molality. Density allows us to convert between volume and mass, facilitating the calculation of molality from the given molarity.
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Density Concepts
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Ethylene glycol, C2H6O2, is a colorless liquid used as auto-mobile antifreeze. If the density at 20 °C of a 4.028 m solu- tion of ethylene glycol in water is 1.0241 g/mL, what is the molarity of the solution? The molar mass of ethylene glycol is 62.07 g/mol
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Nalorphine 1C19H21NO3 2, a relative of morphine, is used to combat withdrawal symptoms in narcotics users. How many grams of a 1.3 * 10-3 m aqueous solution of nalor-phine are needed to obtain a dose of 1.5 mg?
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Textbook Question

A 0.944 M solution of glucose, C6H12O6, in water has a density of 1.0624 g/mL at 20 °C. What is the concentration of this solution in the following units?(a) Mole fraction

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Textbook Question
Lactose, C12H22O11, is a naturally occurring sugar found in mammalian milk. A 0.335 M solution of lactose in water has a density of 1.0432 g/L at 20 °C. What is the concentra- tion of this solution in the following units? (b) Mass percent
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Textbook Question
Look at the solubility graph in Figure 13.7, and estimate which member of each of the following pairs has the higher molar solubility at the given temperature. (b) CH3CO2Na or glucose at 20 °C

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Textbook Question
Fish generally need an O2 concentration in water of at least 4 mg/L for survival. What partial pressure of oxygen above the water in atmospheres at 0 °C is needed to obtain this concentration? The solubility of O2 in water at 0 °C and 1 atm partial pressure is 2.21 * 10-3 mol>L.
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