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3.9: Exercises

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    1.

    What is the total mass (amu) of carbon in each of the following molecules?

    1. CH4
    2. CHCl3
    3. C12H10O6
    4. CH3CH2CH2CH2CH3
    2.

    What is the total mass of hydrogen in each of the molecules?

    1. CH4
    2. CHCl3
    3. C12H10O6
    4. CH3CH2CH2CH2CH3
    3.

    Calculate the molecular or formula mass of each of the following:

    1. P4
    2. H2O
    3. Ca(NO3)2
    4. CH3CO2H (acetic acid)
    5. C12H22O11 (sucrose, cane sugar)
    4.

    Determine the molecular mass of the following compounds:

    (a)

    A structure is shown. A C atom is bonded to two C l atoms and forms a double bond with one O atom.

    (b)

    A structure is shown. Two C atoms form a triple bond with each other. Each C atom also forms a single bond with on H atom.

    (c)

    A structure is shown. Two C atoms form double bonds with each other. Each C atom also forms a single bond with an H atom and a B r atom.

    (d)

    A structure is shown. An S atom forms double bonds with two O atoms. The S atom also forms a single bond with an O atom which forms a single bond with an H atom. The S atom also forms a single bond with another O atom which forms a single bond with another H atom.
    5.

    Determine the molecular mass of the following compounds:

    (a)

    A structure is shown. Two C atoms form double bonds with each other. The C atom on the left forms a single bond with two H atoms each. The C atom on the right forms a single bond with an H atom and with a C H subscript 2 C H subscript 3 group.

    (b)

    A structure is shown. There is a C atom which forms single bonds with three H atoms each. This C atom is bonded to another C atom. This second C atom forms a triple bond with another C atom which forms a single bond with a fourth C atom. The fourth C atom forms single bonds with three H atoms each.

    (c)

    A structure is shown. An S i atom forms a single bond with a C l atom, a single bond with a C l atom, a single bond with an H atom, and a single bond with another S i atom. The second S i atom froms a single bond with a C l atom, a single bond with a C l atom, and a single bond with an H atom.

    (d)

    A structure is shown. A P atom forms a double bond with an O atom. It also forms a single bond with an O atom which forms a single bond with an H atom. It also forms a single bond with another O atom which forms a single bond with an H atom. It also forms a single bond with another O atom which forms a single bond with an H atom.
    6.

    Which molecule has a molecular mass of 28.05 amu?

    (a)

    A structure is shown. A C atom forms a triple bond with another C atom. Each C atom also forms a single bond with an H atom.

    (b)

    A structure is shown. Two C atoms form a double bond with each other. Each C atom also forms a single bond with two H atoms.

    (c)

    A structure is shown. A C atom forms a single bond with three H atoms each and with another C atom. The second C atom also forms a single bond with three H atoms each.
    7.

    Write a sentence that describes how to determine the number of moles of a compound in a known mass of the compound using its molecular formula.

    8.

    Compare 1 mole of H2, 1 mole of O2, and 1 mole of F2.

    1. Which has the largest number of molecules? Explain why.
    2. Which has the greatest mass? Explain why.
    9.

    Which contains the greatest mass of oxygen: 0.75 mol of ethanol (C2H5OH), 0.60 mol of formic acid (HCO2H), or 1.0 mol of water (H2O)? Explain why.

    10.

    Which contains the greatest number of moles of oxygen atoms: 1 mol of ethanol (C2H5OH), 1 mol of formic acid (HCO2H), or 1 mol of water (H2O)? Explain why.

    11.

    How are the molecular mass and the molar mass of a compound similar and how are they different?

    12.

    Calculate the molar mass of each of the following compounds:

    1. hydrogen fluoride, HF
    2. ammonia, NH3
    3. nitric acid, HNO3
    4. silver sulfate, Ag2SO4
    5. boric acid, B(OH)3
    13.

    Calculate the molar mass of each of the following:

    1. S8
    2. C5H12
    3. Sc2(SO4)3
    4. CH3COCH3 (acetone)
    5. C6H12O6 (glucose)
    14.

    Calculate the empirical or molecular formula mass and the molar mass of each of the following minerals:

    1. limestone, CaCO3
    2. halite, NaCl
    3. beryl, Be3Al2Si6O18
    4. malachite, Cu2(OH)2CO3
    5. turquoise, CuAl6(PO4)4(OH)8(H2O)4
    15.

    Calculate the molar mass of each of the following:

    1. the anesthetic halothane, C2HBrClF3
    2. the herbicide paraquat, C12H14N2Cl2
    3. caffeine, C8H10N4O2
    4. urea, CO(NH2)2
    5. a typical soap, C17H35CO2Na
    16.

    Determine the number of moles of compound and the number of moles of each type of atom in each of the following:

    1. 25.0 g of propylene, C3H6
    2. 3.06 10−3 g of the amino acid glycine, C2H5NO2
    3. 25 lb of the herbicide Treflan, C13H16N2O4F (1 lb = 454 g)
    4. 0.125 kg of the insecticide Paris Green, Cu4(AsO3)2(CH3CO2)2
    5. 325 mg of aspirin, C6H4(CO2H)(CO2CH3)
    17.

    Determine the mass of each of the following:

    1. 0.0146 mol KOH
    2. 10.2 mol ethane, C2H6
    3. 1.6 10−3 mol Na2 SO4
    4. 6.854 103 mol glucose, C6 H12 O6
    5. 2.86 mol Co(NH3)6Cl3
    18.

    Determine the number of moles of the compound and determine the number of moles of each type of atom in each of the following:

    1. 2.12 g of potassium bromide, KBr
    2. 0.1488 g of phosphoric acid, H3PO4
    3. 23 kg of calcium carbonate, CaCO3
    4. 78.452 g of aluminum sulfate, Al2(SO4)3
    5. 0.1250 mg of caffeine, C8H10N4O2
    19.

    Determine the mass of each of the following:

    1. 2.345 mol LiCl
    2. 0.0872 mol acetylene, C2H2
    3. 3.3 10−2 mol Na2 CO3
    4. 1.23 103 mol fructose, C6 H12 O6
    5. 0.5758 mol FeSO4(H2O)7
    20.

    The approximate minimum daily dietary requirement of the amino acid leucine, C6H13NO2, is 1.1 g. What is this requirement in moles?

    21.

    Determine the mass in grams of each of the following:

    1. 0.600 mol of oxygen atoms
    2. 0.600 mol of oxygen molecules, O2
    3. 0.600 mol of ozone molecules, O3
    22.

    A 55-kg woman has 7.5 10−3 mol of hemoglobin (molar mass = 64,456 g/mol) in her blood. How many hemoglobin molecules is this? What is this quantity in grams?

    23.

    Determine the number of atoms and the mass of zirconium, silicon, and oxygen found in 0.3384 mol of zircon, ZrSiO4, a semiprecious stone.

    24.

    Determine which of the following contains the greatest mass of hydrogen: 1 mol of CH4, 0.6 mol of C6H6, or 0.4 mol of C3H8.

    25.

    Determine which of the following contains the greatest mass of aluminum: 122 g of AlPO4, 266 g of Al2Cl6, or 225 g of Al2S3.

    26.

    Diamond is one form of elemental carbon. An engagement ring contains a diamond weighing 1.25 carats (1 carat = 200 mg). How many atoms are present in the diamond?

    27.

    The Cullinan diamond was the largest natural diamond ever found (January 25, 1905). It weighed 3104 carats (1 carat = 200 mg). How many carbon atoms were present in the stone?

    28.

    One 55-gram serving of a particular cereal supplies 270 mg of sodium, 11% of the recommended daily allowance. How many moles and atoms of sodium are in the recommended daily allowance?

    29.

    A certain nut crunch cereal contains 11.0 grams of sugar (sucrose, C12H22O11) per serving size of 60.0 grams. How many servings of this cereal must be eaten to consume 0.0278 moles of sugar?

    30.

    A tube of toothpaste contains 0.76 g of sodium monofluorophosphate (Na2PO3F) in 100 mL.

    1. What mass of fluorine atoms in mg was present?
    2. How many fluorine atoms were present?
    31.

    Which of the following represents the least number of molecules?

    1. 20.0 g of H2O (18.02 g/mol)
    2. 77.0 g of CH4 (16.06 g/mol)
    3. 68.0 g of C3H6 (42.08 g/mol)
    4. 100.0 g of N2O (44.02 g/mol)
    5. 84.0 g of HF (20.01 g/mol)
    32.

    What information is needed to determine the molecular formula of a compound from the empirical formula?

    33.

    Calculate the following to four significant figures:

    1. the percent composition of ammonia, NH3
    2. the percent composition of photographic fixer solution (“hypo”), Na2S2O3
    3. the percent of calcium ion in Ca3(PO4)2
    34.

    Determine the following to four significant figures:

    1. the percent composition of hydrazoic acid, HN3
    2. the percent composition of TNT, C6H2(CH3)(NO2)3
    3. the percent of SO42– in Al2(SO4)3
    35.

    Determine the percent ammonia, NH3, in Co(NH3)6Cl3, to three significant figures.

    36.

    Determine the percent water in CuSO4∙5H2O to three significant figures.

    37.

    Determine the empirical formulas for compounds with the following percent compositions:

    1. 15.8% carbon and 84.2% sulfur
    2. 40.0% carbon, 6.7% hydrogen, and 53.3% oxygen
    38.

    Determine the empirical formulas for compounds with the following percent compositions:

    1. 43.6% phosphorus and 56.4% oxygen
    2. 28.7% K, 1.5% H, 22.8% P, and 47.0% O
    39.

    A compound of carbon and hydrogen contains 92.3% C and has a molar mass of 78.1 g/mol. What is its molecular formula?

    40.

    Dichloroethane, a compound that is often used for dry cleaning, contains carbon, hydrogen, and chlorine. It has a molar mass of 99 g/mol. Analysis of a sample shows that it contains 24.3% carbon and 4.1% hydrogen. What is its molecular formula?

    41.

    Determine the empirical and molecular formula for chrysotile asbestos. Chrysotile has the following percent composition: 28.03% Mg, 21.60% Si, 1.16% H, and 49.21% O. The molar mass for chrysotile is 520.8 g/mol.

    42.

    Polymers are large molecules composed of simple units repeated many times. Thus, they often have relatively simple empirical formulas. Calculate the empirical formulas of the following polymers:

    1. Lucite (Plexiglas); 59.9% C, 8.06% H, 32.0% O
    2. Saran; 24.8% C, 2.0% H, 73.1% Cl
    3. polyethylene; 86% C, 14% H
    4. polystyrene; 92.3% C, 7.7% H
    5. Orlon; 67.9% C, 5.70% H, 26.4% N
    43.

    A major textile dye manufacturer developed a new yellow dye. The dye has a percent composition of 75.95% C, 17.72% N, and 6.33% H by mass with a molar mass of about 240 g/mol. Determine the molecular formula of the dye.

    44.

    Explain what changes and what stays the same when 1.00 L of a solution of NaCl is diluted to 1.80 L.

    45.

    What information is needed to calculate the molarity of a sulfuric acid solution?

    46.

    A 200-mL sample and a 400-mL sample of a solution of salt have the same molarity. In what ways are the two samples identical? In what ways are these two samples different?

    47.

    Determine the molarity for each of the following solutions:

    1. (f) 1.8 104 mg of HCl in 0.075 L of solution
    48.

    Determine the molarity of each of the following solutions:

    1. (f) 0.000889 g of glycine, C2H5NO2, in 1.05 mL of solution
    49.

    Consider this question: What is the mass of the solute in 0.500 L of 0.30 M glucose, C6H12O6, used for intravenous injection?

    1. Outline the steps necessary to answer the question.
    2. Answer the question.
    50.

    Consider this question: What is the mass of solute in 200.0 L of a 1.556-M solution of KBr?

    1. Outline the steps necessary to answer the question.
    2. Answer the question.
    51.

    Calculate the number of moles and the mass of the solute in each of the following solutions:

    1. 2.00 L of 18.5 M H2SO4, concentrated sulfuric acid
    2. 100.0 mL of 3.8 10−6 M NaCN, the minimum lethal concentration of sodium cyanide in blood serum
    3. 5.50 L of 13.3 M H2CO, the formaldehyde used to “fix” tissue samples
    4. 325 mL of 1.8 10−6 M FeSO4, the minimum concentration of iron sulfate detectable by taste in drinking water
    52.

    Calculate the number of moles and the mass of the solute in each of the following solutions:

    1. 325 mL of 8.23 10−5 M KI, a source of iodine in the diet
    2. 75.0 mL of 2.2 10−5 M H2SO4, a sample of acid rain
    3. 0.2500 L of 0.1135 M K2CrO4, an analytical reagent used in iron assays
    4. 10.5 L of 3.716 M (NH4)2SO4, a liquid fertilizer
    53.

    Consider this question: What is the molarity of KMnO4 in a solution of 0.0908 g of KMnO4 in 0.500 L of solution?

    1. Outline the steps necessary to answer the question.
    2. Answer the question.
    54.

    Consider this question: What is the molarity of HCl if 35.23 mL of a solution of HCl contain 0.3366 g of HCl?

    1. Outline the steps necessary to answer the question.
    2. Answer the question.
    55.

    Calculate the molarity of each of the following solutions:

    1. 0.195 g of cholesterol, C27H46O, in 0.100 L of serum, the average concentration of cholesterol in human serum
    2. 4.25 g of NH3 in 0.500 L of solution, the concentration of NH3 in household ammonia
    3. 1.49 kg of isopropyl alcohol, C3H7OH, in 2.50 L of solution, the concentration of isopropyl alcohol in rubbing alcohol
    4. 0.029 g of I2 in 0.100 L of solution, the solubility of I2 in water at 20 °C
    56.

    Calculate the molarity of each of the following solutions:

    1. 293 g HCl in 666 mL of solution, a concentrated HCl solution
    2. 2.026 g FeCl3 in 0.1250 L of a solution used as an unknown in general chemistry laboratories
    3. 0.001 mg Cd2+ in 0.100 L, the maximum permissible concentration of cadmium in drinking water
    4. 0.0079 g C7H5SNO3 in one ounce (29.6 mL), the concentration of saccharin in a diet soft drink.
    57.

    There is about 1.0 g of calcium, as Ca2+, in 1.0 L of milk. What is the molarity of Ca2+ in milk?

    58.

    What volume of a 1.00-M Fe(NO3)3 solution can be diluted to prepare 1.00 L of a solution with a concentration of 0.250 M?

    59.

    If 0.1718 L of a 0.3556-M C3H7OH solution is diluted to a concentration of 0.1222 M, what is the volume of the resulting solution?

    60.

    If 4.12 L of a 0.850 M-H3PO4 solution is be diluted to a volume of 10.00 L, what is the concentration of the resulting solution?

    61.

    What volume of a 0.33-M C12H22O11 solution can be diluted to prepare 25 mL of a solution with a concentration of 0.025 M?

    62.

    What is the concentration of the NaCl solution that results when 0.150 L of a 0.556-M solution is allowed to evaporate until the volume is reduced to 0.105 L?

    63.

    What is the molarity of the diluted solution when each of the following solutions is diluted to the given final volume?

    1. 1.00 L of a 0.250-M solution of Fe(NO3)3 is diluted to a final volume of 2.00 L
    2. 0.5000 L of a 0.1222-M solution of C3H7OH is diluted to a final volume of 1.250 L
    3. 2.35 L of a 0.350-M solution of H3PO4 is diluted to a final volume of 4.00 L
    4. 22.50 mL of a 0.025-M solution of C12H22O11 is diluted to 100.0 mL
    64.

    What is the final concentration of the solution produced when 225.5 mL of a 0.09988-M solution of Na2CO3 is allowed to evaporate until the solution volume is reduced to 45.00 mL?

    65.

    A 2.00-L bottle of a solution of concentrated HCl was purchased for the general chemistry laboratory. The solution contained 868.8 g of HCl. What is the molarity of the solution?

    66.

    An experiment in a general chemistry laboratory calls for a 2.00-M solution of HCl. How many mL of 11.9 M HCl would be required to make 250 mL of 2.00 M HCl?

    67.

    What volume of a 0.20-M K2SO4 solution contains 57 g of K2SO4?

    68.

    The US Environmental Protection Agency (EPA) places limits on the quantities of toxic substances that may be discharged into the sewer system. Limits have been established for a variety of substances, including hexavalent chromium, which is limited to 0.50 mg/L. If an industry is discharging hexavalent chromium as potassium dichromate (K2Cr2O7), what is the maximum permissible molarity of that substance?

    69.

    Consider this question: What mass of a concentrated solution of nitric acid (68.0% HNO3 by mass) is needed to prepare 400.0 g of a 10.0% solution of HNO3 by mass?

    1. Outline the steps necessary to answer the question.
    2. Answer the question.
    70.

    What mass of a 4.00% NaOH solution by mass contains 15.0 g of NaOH?

    71.

    What mass of solid NaOH (97.0% NaOH by mass) is required to prepare 1.00 L of a 10.0% solution of NaOH by mass? The density of the 10.0% solution is 1.109 g/mL.

    72.

    What mass of HCl is contained in 45.0 mL of an aqueous HCl solution that has a density of 1.19 g cm–3 and contains 37.21% HCl by mass?

    73.

    The hardness of water (hardness count) is usually expressed in parts per million (by mass) of CaCO3, which is equivalent to milligrams of CaCO3 per liter of water. What is the molar concentration of Ca2+ ions in a water sample with a hardness count of 175 mg CaCO3/L?

    74.

    The level of mercury in a stream was suspected to be above the minimum considered safe (1 part per billion by weight). An analysis indicated that the concentration was 0.68 parts per billion. Assume a density of 1.0 g/mL and calculate the molarity of mercury in the stream.

    75.

    In Canada and the United Kingdom, devices that measure blood glucose levels provide a reading in millimoles per liter. If a measurement of 5.3 mM is observed, what is the concentration of glucose (C6H12O6) in mg/dL?

    76.

    A throat spray is 1.40% by mass phenol, C6H5OH, in water. If the solution has a density of 0.9956 g/mL, calculate the molarity of the solution.

    77.

    Copper(I) iodide (CuI) is often added to table salt as a dietary source of iodine. How many moles of CuI are contained in 1.00 lb (454 g) of table salt containing 0.0100% CuI by mass?

    78.

    A cough syrup contains 5.0% ethyl alcohol, C2H5OH, by mass. If the density of the solution is 0.9928 g/mL, determine the molarity of the alcohol in the cough syrup.

    79.

    D5W is a solution used as an intravenous fluid. It is a 5.0% by mass solution of dextrose (C6H12O6) in water. If the density of D5W is 1.029 g/mL, calculate the molarity of dextrose in the solution.

    80.

    Find the molarity of a 40.0% by mass aqueous solution of sulfuric acid, H2SO4, for which the density is 1.3057 g/mL.

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