Chemistry 1000 (Summer 2006) Problem Set #7: Chapter 3 Answers to Practice Problems 1. (a) (b) (c) (d) (e) (f) The following list contains examples of ionic compounds better described using condensed formulae. For each formula unit, list the most likely condensed formula and name that compound. e.g. MgO2H2 is unclear. It’s better written as Mg(OH)2 or magnesium hydroxide. Fe2C3O9 Fe2(CO3)3 iron(III) carbonate N3H12PO3 (NH4)3PO3 ammonium phosphite SnH2S2O8 Sn(HSO4)2 tin(II) bisulfate or tin(II) hydrogen sulfate Ti2S3O9 Ti2(SO3)3 titanium(III) sulfite PbC4N4 Pb(CN)4 lead(IV) cyanide N2H4O2 NH4NO2 ammonium nitrite 2. Lesley is a research assistant who goes scuba diving for sponges which she takes back to the lab. There, she extracts and purifies molecules which might have medical applications. Her latest sample contained a particularly interesting drug lead which she is currently calling Leslamine. When she analyzed Leslamine, she found that it had a molecular mass of 274.37 g/mol and contained 70.05% carbon, 8.08% hydrogen, 10.20% nitrogen and 11.67% oxygen. (a) What is the empirical formula of Leslamine? In 100 g of Leslamine: mC = 70.05 g mH = 8.08 g mN = 10.20 g mO = 11.67 g nC = mC UC = 70.05 g C . 12.011 g/mol nC = 5.832 mol C nH = mH UH = 8.08 g H . 1.0079 g/mol nH = 8.02 mol H nN = mN UN = 10.20 g N . 14.0067 g/mol nN = 0.7282 mol N nO = mO UO = 11.67 g O . 15.9994 g/mol nO = 0.7294 mol O Therefore, nC : nH : nN : nO = 5.832 mol C : 8.02 mol H : 0.7282 mol N : 0.7294 mol O 0.7282 0.7282 0.7282 0.7282 nC : nH : nN : nO = 8.009 mol C : 11.0 mol H : 1.000 mol N : 1.002 mol O Therefore, the empirical formula is C8H11NO (b) What is the molecular formula of Leslamine? UC8H11NO = 137.181 g/mol ULeslamine = 274.37 g/mol = 2.0000 UC8H11NO 137.181 g/mol Therefore, the molecular formula is twice the empirical formula Therefore, the molecular formula is C16H22N2O2 3. Michael needs anhydrous chromium(III) bromide for his next experiment but all he has available is chromium(III) bromide hexahydrate. Since he has a hot oven available, he decides that he’ll use that to make some anhydrous chromium(III) bromide by dehydrating the hydrate. What mass of hydrate must he use in order to obtain 25.00 g of anhydrous chromium(III) bromide? CrBr3 · 6H2O 399.799 g/mol nCrBr3 = mCrBr3 UCrBr3 = 25.00 g . 291.708 g/mol nCrBr3 = 0.08570 mol → CrBr3 + 6 H2O 291.708 g/mol nCrBr3.3H2O = nCrBr3 = 0.08570 mol mCrBr3.3H2O = nCrBr3.3H2O × UCrBr3.3H2O = (0.08570 mol) × (399.799 g/mol) mCrBr3.3H2O = 34.26 g 4. (a) (b) (c) The jar of copper(I) oxide that Jodie has been working with for the past year has started to turn black, so she suspects that some of the contents have reacted with air and been oxidized to copper(II) oxide. She submits a sample for elemental analysis, and is told that the sample contained 82.35% copper and 17.65% oxygen by weight. Calculate the percent composition for copper(I) oxide and for copper(II) oxide. copper(I) oxide = Cu2O %Cu = UCu2 × 100% %O = UO × 100% UCu2O UCu2O = (2 × 63.546 g/mol) × 100% = 15.9994 g/mol × 100% 143.091 g/mol 143.091 g/mol %Cu = 88.819% %O = 11.1812% copper(II) oxide = CuO %Cu = UCu × 100% %O = UO × 100% UCuO UCuO = 63.546 g/mol × 100% = 15.9994 g/mol × 100% 79.545 g/mol 79.545 g/mol %Cu = 79.886% %O = 20.114% Was Jodie’s sample copper(I) oxide, copper(II) oxide or a mixture of the two? Why? It was a mixture. The experimental percent composition fell between the sets calculated for copper(I) oxide and copper(II) oxide. Are the contents of the jar likely to be exactly the same as the contents of the sample? Why or why not? Probably not. If the copper(II) oxide formed due to reaction with air, there’s likely more at the top of the jar than the bottom. Unless she thoroughly mixed the contents of the jar before taking the sample, it’s not necessarily representative of the average contents of the jar. (It does however confirm her suspicion that the jar contains some copper(II) oxide.) 5. (a) Neil found a jar of nickel(II) acetate sitting open in the back of the storeroom. He knew this compound formed a hydrate but didn’t know which one. Curious, he carefully weighed out 1.000 g of the hydrate into an evaporating dish, left it in a hot oven until it had completely dehydrated and recorded the final weight of the sample (0.710 g). Give the formula for the hydrate. Ni(CH3CO2)2 · xH2O nanhydrous = manhydrous Uanhydrous = 0.710 g . 176.782 g/mol nanhydrous = 0.00402 mol → Ni(CH3CO2)2 + x H2O 176.782 g/mol 18.0152 g/mol nwater = mwater Uwater = (1.000g – 0.710g) 18.0152 g/mol nwater = 0.0161 mol x = nwater . 1 nanhydrous x = 0.0161 mol 0.00402 mol x = 4.00 Therefore, (b) (c) 6. (a) (b) (c) (d) (e) the hydrate is Ni(CH3CO2)2 · 4H2O Name the hydrate. nickel(II) acetate tetrahydrate How do you think Neil confirmed that the sample had completely dehydrated? He would have weighed the sample, put it back in the oven for a period of time then weighed it again. If the two masses were the same, the sample would be completely dehydrated. List each group of compounds/ions in order from highest to lowest molar mass. SO42- > HSO3- > SO32- > SO2 sulfite = SO32sulfur dioxide = SO2 2sulfate = SO4 bisulfite = HSO3ClO4- > Cl2O > ClO3 > ClOperchlorate = ClO4dichlorine monoxide = Cl2O hypochlorite = ClOchlorine trioxide = ClO3 Al2O3 > Al(OH)3 > (NH4)2O > NH4OH aluminum oxide = Al2O3 ammonium hydroxide = NH4OH aluminum hydroxide = Al(OH)3 ammonium oxide = (NH4)2O Sr(ClO2)2 > SrCl2 > SeCl2 > SCl2 selenium dichloride = SeCl2 strontium chloride = SrCl2 sulfur dichloride = SCl2 strontium chlorite = Sr(ClO2)2 Fe2Se3, FeBr3, FeBr2, FeSe iron(II) bromide = FeBr2 iron(III) bromide = FeBr3 iron(II) selenide = FeSe iron(III) selenide = Fe2Se3 7. (a) (b) (c) (d) (e) List each group of compounds/ions in alphabetical order by name. aluminum phosphide, aluminum sulfide, arsenic triiodide, diarsenic tetrasulfide Al2S3 = aluminum sulfide AsI3 = arsenic triiodide AlP = aluminum phosphide As2S4 = diarsenic tetrasulfide beryllium fluoride, diphosphorus pentoxide, lead(IV) chloride, phosphorus tribromide PbCl4 = lead(IV) chloride P2O5 = diphosphorus pentoxide PBr3 = phosphorus tribromide BeF2 = beryllium fluoride aluminum chloride, copper(I) chloride, gold(III) chloride, silver chloride AgCl, = silver chloride (or silver(I) chloride) AlCl3 = aluminum chloride AuCl3 = gold(III) chloride CuCl = copper(I) chloride ammonium, cyanide, hydroxide, nitrite CN- = cyanide NH4+ = ammonium OH = hydroxide NO2- = nitrite potassium chlorate, potassium chlorite, potassium hypochlorite, potassium perchlorate KOCl = potassium hypochlorite KClO3 = potassium chlorate KClO2 = potassium chlorite KClO4 = potassium perclorate
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