Chapter 8
Chemistry: An Atoms-Focused Approach · 98 exercises
Problem 11
Calculate the molarity of each of the following solutions: a. \(0.56 \mathrm{mol} \mathrm{BaCl}_{2}\) in \(100.0 \mathrm{mL}\) of solution b. \(0.200 \mathrm{mol} \mathrm{Na}_{2} \mathrm{CO}_{3}\) in \(200.0 \mathrm{mL}\) of solution c. \(0.325 \mathrm{mol} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\) in \(250.0 \mathrm{mL}\) of solution d. \(1.48 \mathrm{mol} \mathrm{KNO}_{3}\) in \(250.0 \mathrm{mL}\) of solution
3 step solution
Problem 12
Calculate the molarity of each of the following solutions: a. 0.150 mol urea \(\left[\left(\mathrm{NH}_{2}\right)_{2} \mathrm{CO}\right]\) in \(250.0 \mathrm{mL}\) of solution b. \(1.46 \mathrm{mol} \mathrm{NH}_{4} \mathrm{CH}_{3} \mathrm{CO}_{2}\) in \(1.000 \mathrm{L}\) of solution c. 1.94 mol methanol \(\left(\mathrm{CH}_{3} \mathrm{OH}\right)\) in 5.000 L of solution d. 0.045 mol sucrose \(\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right)\) in \(50.0 \mathrm{mL}\) of solution
4 step solution
Problem 13
Calculate the molarity of \(\mathrm{Na}^{+}\) ions in each of the following solutions: a. \(0.29 M \mathrm{NaNO}_{3}\) b. \(0.33 \mathrm{g} \mathrm{NaCl}\) in \(25 \mathrm{mL}\) of solution c. \(0.88 M \mathrm{Na}_{2} \mathrm{SO}_{4}\) d. \(0.46 \mathrm{g} \mathrm{Na}_{3} \mathrm{PO}_{4}\) in \(100 \mathrm{mL}\) of solution
9 step solution
Problem 14
Calculate the molarity of each of the following solutions: a. \(31.76 \mathrm{g} \mathrm{LiClO}_{4}\) in \(475.0 \mathrm{mL}\) of solution b. \(6.37 \mathrm{g}\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4}\) in \(250.0 \mathrm{mL}\) of solution c. \(2.97 \mathrm{g} \mathrm{KBr}\) in \(75.0 \mathrm{mL}\) of solution d. \(0.773 \mathrm{g} \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}\) in \(100.0 \mathrm{mL}\) of solution
3 step solution
Problem 15
How many grams of solute are needed to prepare each of the following solutions? a. \(1.000 \mathrm{L}\) of \(0.200 M \mathrm{NaCl}\) b. \(250.0 \mathrm{mL}\) of \(0.125 M \mathrm{CuSO}_{4}\) c. \(500.0 \mathrm{mL}\) of \(0.400 M \mathrm{CH}_{3} \mathrm{OH}\)
6 step solution
Problem 16
How many grams of solute are needed to prepare each of the following solutions? a. \(500.0 \mathrm{mL}\) of \(0.250 M \mathrm{KBr}\) b. \(25.0 \mathrm{mL}\) of \(0.200 M \mathrm{NaNO}_{3}\) c. \(100.0 \mathrm{mL}\) of \(0.375 M \mathrm{CH}_{3} \mathrm{OH}\)
3 step solution
Problem 18
Zinc, copper, lead, and mercury ions are toxic to Atlantic salmon at concentrations of \(6.42 \times 10^{2} \mathrm{m} M, 7.16 \times\) \(10^{-3} \mathrm{m} M, 0.965 \mathrm{m} M,\) and \(5.00 \times 10^{-2} \mathrm{m} M,\) respectively. What are the corresponding concentrations in milligrams per liter?
3 step solution
Problem 19
Calculate the number of moles of solute contained in the following volumes of aqueous solutions of four over-thecounter pharmaceuticals: a. \(0.250 \mathrm{~L}\) of \(0.076 \mathrm{M}\) acetaminophen (for pain relief) b. \(2.11 \mathrm{~L}\) of \(0.193 \mathrm{~m} M\) chromalyn sodium (for hay fever) c. \(0.0475 \mathrm{~L}\) of \(5.73 \mathrm{~m} M\) benzocaine (in cough syrup) d. \(14.6 \mathrm{~L}\) of \(27.4 \mathrm{~m} M\) Benadryl (antihistamine)
4 step solution
Problem 20
A sample of crude oil contains \(3.13 \mathrm{m} M\) naphthalene, \(12.0 \mathrm{mM}\) methylnaphthalene, \(23.8 \mathrm{mM}\) dimethylnaphthalene, and \(14.1 \mathrm{m} M\) trimethylnaphthalene. What is the total number of moles of all the naphthalene compounds in \(100.0 \mathrm{mL}\) of the oil?
3 step solution
Problem 23
Tap water in North America from groundwater sources contains an average of \(48 \mathrm{mg} / \mathrm{L} \mathrm{Ca}^{2+}\) ion. What is the molarity of calcium ion in this water?
3 step solution
Problem 24
The concentration of manganese in one brand of soluble plant fertilizer is \(0.05 \%\) by mass. If a \(20 \mathrm{g}\) sample of the fertilizer is dissolved in 2.0 L of solution, what is the molarity of dissolved Mn in the solution?
3 step solution
Problem 25
For which of the following compounds is it possible to make a \(1.0 M\) solution at \(0^{\circ} \mathrm{C} ?\) a. \(\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O},\) solubility \(=23.1 \mathrm{g} / 100 \mathrm{mL}\) b. \(A g N O_{3},\) solubility \(=122\) g/ 100 mL c. \(\mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{2} \cdot 6 \mathrm{H}_{2} \mathrm{O},\) solubility \(=113 \mathrm{g} / 100 \mathrm{mL}\) d. \(\mathrm{Ca}(\mathrm{OH})_{2}\), solubility \(=0.185 \mathrm{g} / 100 \mathrm{mL}\)
3 step solution
Problem 26
Gold in the Ocean About \(6 \times 10^{9} \mathrm{g}\) of gold is thought to be dissolved in the oceans of the world. If the total volume of the oceans is \(1.5 \times 10^{21} \mathrm{L},\) what is the average molarity of gold in seawater?
2 step solution
Problem 28
A typical adult body contains \(6.0 \mathrm{L}\) of blood. The hemoglobin content of blood is about \(15.5 \mathrm{g} /\) \(100.0 \mathrm{mL}\) of blood. The approximate molar mass of hemoglobin is \(64,500 \mathrm{g} / \mathrm{mol} .\) How many moles of hemoglobin are present in a typical adult?
2 step solution
Problem 29
Calculate the final concentrations of the following aqueous solutions after each has been diluted to a final volume of \(25.0 \mathrm{mL}:\) a. \(1.00 \mathrm{mL}\) of \(0.452 M \mathrm{Na}^{+}\) b. \(2.00 \mathrm{mL}\) of \(3.4 \mathrm{m} M \mathrm{LiCl}\) c. \(5.00 \mathrm{mL}\) of \(6.42 \times 10^{-2} \mathrm{m} M \mathrm{Zn}^{2+}\)
3 step solution
Problem 30
Chemists who analyze samples for dissolved trace elements may buy standard solutions that contain \(1.000 \mathrm{g} / \mathrm{L}\) concentrations of the elements. If a chemist needs to prepare \(0.500 \mathrm{L}\) of a working standard that has a concentration of \(5.00 \mathrm{mg} / \mathrm{L},\) what volume of the \(1.000 \mathrm{g} / \mathrm{L}\) standard is needed?
5 step solution
Problem 31
A puddle of coastal seawater, caught in a depression formed by some coastal rocks at high tide, begins to evaporate on a hot summer day as the tide goes out. If the volume of the puddle decreases to \(23 \%\) of its initial volume, what is the concentration of \(\mathrm{Na}^{+}\) after evaporation if it was \(0.449 \mathrm{M}\) initially?
4 step solution
Problem 33
A standard dose of an over-the-counter cough suppressant for adults is \(20.0 \mathrm{mL}\) A portion this size contains 35 mg of the active pharmaceutical ingredient (API). A pediatrician prescribes the drug for a 6 -year-old child, but the child may take only \(10.0 \mathrm{mL}\) at a time and receive a maximum of 4.00 mg of the API. What is the concentration in \(\mathrm{mg} / \mathrm{mL}\) of the adult-strength medication, and how many milliliters of it should be diluted to make \(100.0 \mathrm{mL}\) of child-strength cough syrup?
3 step solution
Problem 35
A solution of table salt is a good conductor of electricity, but a solution containing an equal molar concentration of table sugar is not. Why?
4 step solution
Problem 36
Why can scientists use conductivity to study the mixing of freshwater and seawater in estuaries?
4 step solution
Problem 37
What are present in solutions of electrolytes that are not present in solutions of nonelectrolytes?
4 step solution
Problem 38
The electrolyte in an electricity-generating device called a fuel cell consists of a mixture of \(\mathrm{Li}_{2} \mathrm{CO}_{3}\) and \(\mathrm{K}_{2} \mathrm{CO}_{3}\) heated to \(650^{\circ} \mathrm{C} .\) At this temperature these ionic solids melt. Explain how the mixture of molten carbonates can conduct electricity.
4 step solution
Problem 39
Rank the following solutions on the basis of their ability to conduct electricity, starting with the most conductive: (a) \(1.0 \mathrm{M} \mathrm{NaCl} ;\) (b) \(1.2 \mathrm{M} \mathrm{KCl} ;\) (c) \(1.0 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4}\) (d) \(0.75 M\) LiCl.
3 step solution
Problem 40
Rank the conductivities of \(1 M\) aqueous solutions of each of the following solutes, starting with the most conductive: (a) acetic acid; (b) methanol; (c) sucrose (table sugar); (d) hydrochloric acid.
3 step solution
Problem 41
What is the molarity of \(\mathrm{Na}^{+}\) ions in a \(0.025 M\) aqueous solution of (a) \(\mathrm{NaBr} ;\) (b) \(\mathrm{Na}_{2} \mathrm{SO}_{4} ;\) (c) \(\mathrm{Na}_{3} \mathrm{PO}_{4} ?\)
4 step solution
Problem 42
What is the molarity of each ion in a \(0.035 M\) aqueous solution of (a) \(\mathrm{NH}_{4} \mathrm{Cl} ;\) (b) \(\mathrm{Li}_{2} \mathrm{SO}_{4} ;\) (c) \(\mathrm{MgBr}_{2} ?\)
1 step solution
Problem 43
What chemical property of an acid makes it an acid?
3 step solution
Problem 44
What is the difference between a strong acid and a weak acid?
4 step solution
Problem 45
Give the formulas of two strong acids and two weak acids.
3 step solution
Problem 46
Why is \(\mathrm{HSO}_{4}^{-}(a q)\) a weaker acid than \(\mathrm{H}_{2} \mathrm{SO}_{4} ?\)
4 step solution
Problem 47
What chemical property of a base makes it a base?
5 step solution
Problem 48
What is the difference between a strong base and a weak base?
5 step solution
Problem 49
Give the formulas of two strong bases and two weak bases.
4 step solution
Problem 50
Write the net ionic equation for the neutralization of a strong acid by a strong base.
4 step solution
Problem 51
For each of the following acid-base reactions, identify the acid and the base and then write the net ionic equation: a. \(\mathrm{H}_{2} \mathrm{SO}_{4}(a q)+\mathrm{Ca}(\mathrm{OH})_{2}(s) \rightarrow \mathrm{CaSO}_{4}(a q)+2 \mathrm{H}_{2} \mathrm{O}(\ell)\) b. \(\mathrm{PbCO}_{3}(s)+\mathrm{H}_{2} \mathrm{SO}_{4}(a q) \rightarrow \mathrm{PbSO}_{4}(s)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(\ell)\) c. \(\mathrm{Ca}(\mathrm{OH})_{2}(s)+2 \mathrm{CH}_{3} \mathrm{COOH}(a q) \rightarrow\) \(\mathrm{Ca}\left(\mathrm{CH}_{3} \mathrm{COO}\right)_{2}(a q)+2 \mathrm{H}_{2} \mathrm{O}(\ell)\)
6 step solution
Problem 52
Complete and balance each of the following neutralization reactions, name the products, and write the net ionic equations. a. \(\mathrm{HI}(a q)+\mathrm{LiOH}(a q) \rightarrow\) b. \(\mathrm{H}_{3} \mathrm{PO}_{4}(a q)+\mathrm{KOH}(a q) \rightarrow\) c. \(\mathrm{Al}(\mathrm{OH})_{3}(s)+\mathrm{CH}_{3} \mathrm{COOH}(a q) \rightarrow\) d. \(\mathrm{HNO}_{3}(a q)+\mathrm{Ba}(\mathrm{OH})_{2}(a q) \rightarrow\)
12 step solution
Problem 53
Write a balanced molecular equation and a net ionic equation for the following reactions: a. Solid magnesium hydroxide reacts with a solution of sulfuric acid. b. Solid magnesium carbonate reacts with a solution of hydrochloric acid. c. Ammonia gas reacts with hydrogen chloride gas.
9 step solution
Problem 54
Write a balanced molecular equation and a net ionic equation for the following reactions: a. Solid aluminum hydroxide reacts with a solution of hydrobromic acid. b. A solution of sulfuric acid reacts with solid sodium carbonate. c. A solution of calcium hydroxide reacts with a solution of nitric acid.
12 step solution
Problem 55
The use of lead(II) carbonate and lead(II) hydroxide as white pigments in paint was discontinued in the United States in 1978 because these compounds dissolved in the stomachs of young children who ingested paint chips. The \(\mathrm{Pb}^{2+}\) ions released when the compounds dissolve interfere with neurotransmissions in the brain, causing neurological disorders. Using net ionic equations, show why lead(II) carbonate and lead(II) hydroxide dissolve in acidic solutions.
4 step solution
Problem 56
Lawn Care Many homeowners treat their lawns with \(\mathrm{CaCO}_{3}(s)\) to reduce the acidity of the soil. Write a net ionic equation for the reaction of \(\mathrm{CaCO}_{3}(s)\) with a strong acid.
4 step solution
Problem 57
What is the difference between a saturated solution and a supersaturated solution?
4 step solution
Problem 58
Calcium nitrate is soluble, but calcium phosphate is not. Explain this difference in solubility
5 step solution
Problem 60
A precipitate may appear when two completely clear aqueous solutions are mixed. What circumstances are responsible for this event?
3 step solution
Problem 61
Is a saturated solution always a concentrated solution? Explain.
5 step solution
Problem 62
Honey is a concentrated solution of sugar molecules in water. Clear, viscous honey becomes cloudy after being stored for long periods. Explain how this transition illustrates supersaturation.
5 step solution
Problem 63
According to the solubility rules in Table \(8.4,\) which of the following compounds have limited solubility in water? (a) barium sulfate; (b) barium hydroxide; (c) lanthanum nitrate; (d) sodium acetate; (e) lead hydroxide; (f) calcium phosphate
6 step solution
Problem 65
Complete and balance the chemical equations for the precipitation reactions, if any, between the following pairs of reactants, and write the net ionic equations: a. \(\operatorname{Pb}\left(\mathrm{NO}_{3}\right)_{2}(a q)+\mathrm{Na}_{2} \mathrm{SO}_{4}(a q) \rightarrow\) b. \(\mathrm{NiCl}_{2}(a q)+\mathrm{NH}_{4} \mathrm{NO}_{3}(a q) \rightarrow\) c. \(\operatorname{Fe} C l_{2}(a q)+N a_{2} S(a q) \rightarrow\) d. \(\operatorname{MgSO}_{4}(a q)+\mathrm{BaCl}_{2}(a q) \rightarrow\)
21 step solution
Problem 66
Show, with appropriate net ionic reactions, how \(\mathrm{Cr}^{3+}\) and \(\mathrm{Cd}^{2+}\) can be removed from wastewater by treatment with solutions of sodium hydroxide.
2 step solution
Problem 68
The solubility of \(\mathrm{CaCl}_{2}\) in water at \(25^{\circ} \mathrm{C}\) is \(81.1 \mathrm{g} / 100 \mathrm{mL}\) at \(0^{\circ} \mathrm{C}\) its solubility decreases to \(59.5 \mathrm{g} / 100 \mathrm{mL} .\) Answer the following questions about an aqueous solution of \(26.4 \mathrm{g}\) of \(\mathrm{CaCl}_{2}\) in a volume of \(37.5 \mathrm{mL}\) a. At \(25^{\circ} \mathrm{C},\) is this a saturated solution? b. If the solution is cooled to \(0^{\circ} \mathrm{C},\) do you expect a precipitate to form? c. If the solution is slowly cooled to \(0^{\circ} \mathrm{C}\) and no precipitate forms, then what kind of solution is it?
4 step solution
Problem 69
Calculate the mass of \(\mathrm{Mg} \mathrm{CO}_{3}\) precipitated by mixing \(10.0 \mathrm{mL}\) of a \(0.200 M \mathrm{Na}_{2} \mathrm{CO}_{3}\) solution with \(5.00 \mathrm{mL}\) of \(0.0500 M \mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}\) solution.
5 step solution