Chapter 12: Problem 26
Describe the fractional crystallization process and its application.
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Chapter 12: Problem 26
Describe the fractional crystallization process and its application.
These are the key concepts you need to understand to accurately answer the question.
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A solution of \(6.85 \mathrm{~g}\) of a carbohydrate in \(100.0 \mathrm{~g}\) of water has a density of \(1.024 \mathrm{~g} / \mathrm{mL}\) and an osmotic pressure of 4.61 atm at \(20.0^{\circ} \mathrm{C}\). Calculate the molar mass of the carbohydrate.
Briefly describe the solution process at the molecular level. Use the dissolution of a solid in a liquid as an example.
Explain each of the following statements: (a) The boiling point of seawater is higher than that of pure water. (b) Carbon dioxide escapes from the solution when the cap is removed from a carbonated softdrink bottle. (c) Molal and molar concentrations of dilute aqueous solutions are approximately equal. (d) In discussing the colligative properties of a solution (other than osmotic pressure), it is preferable to express the concentration in units of molality rather than in molarity. (e) Methanol (b.p. \(65^{\circ} \mathrm{C}\) ) is useful as an antifreeze, but it should be removed from the car radiator during the summer season.
(a) Derive the equation relating the molality \((m)\) of a solution to its molarity ( \(M\) ) $$m=\frac{M}{d-\frac{\mathrm{M} . \mathscr{U}}{1000}}$$ where \(d\) is the density of the solution \((\mathrm{g} / \mathrm{mL})\) and \(\mathscr{M}\) is the molar mass of the solute \((\mathrm{g} / \mathrm{mol}) .\). Hint: Start by expressing the solvent in kilograms in terms of the difference between the mass of the solution and the mass of the solute.) (b) Show that, for dilute aqueous solutions, \(m\) is approximately equal to \(M\).
Calculate the percent by mass of the solute in each of the following aqueous solutions: (a) \(5.50 \mathrm{~g}\) of \(\mathrm{NaBr}\) in \(78.2 \mathrm{~g}\) of solution, (b) \(31.0 \mathrm{~g}\) of \(\mathrm{KCl}\) in \(152 \mathrm{~g}\) of water, (c) \(4.5 \mathrm{~g}\) of toluene in \(29 \mathrm{~g}\) of benzene.
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