Chem 104 Exam #4 Chapt 5-6 Winter 2006 Potentially Useful Information: Mercury (Hg) can be +1 or +2, Lead (Pb or Plumbum) can be +2 or +4 Q (heat) = cmT specific heats: water = 4.184 J/g C lead = 0.13 J/g C a.w. (g/mole): He = 4.003, O = 16.00, F = 19.00, H = 1.008 C= 12.01 0 C = 273.15 K, R = 0.08206 L atm/mole K Dalton’s Law of partial pressures: pressure fraction = mole fraction Name_______________________ Chem 104 Exam #4 Chapt 5-6 Winter 2006 Show all work, including any unit conversions for full credit, where applicable. Use correct number of sig figs. 1. Balance the eqns below. (4 pts each) 2 H3PO3 + 1 Cl2 + 2 NaBr 1 P4O10 1 CaCO3 3 Mg(OH)2 + + 6 H2O + 2 NaCl + 1 Br2 4 H2O 2 HCl 1 CaCl2 1 Mg3(PO3)2 2 H4P2O7 + 1 H2O + 1 CO2 2. A sample of Helium has a mass of 14.56 g. It is in a 19.00 L container at a temperature of 14.0C. What is the pressure inside the container? PV = nRT; P= nRT/V T = 14.0 + 273.15 = 287.2 K (have to round off because moving from addition to multiplication). P = nRT/V = (14.56g x 1 mole/4.003 g) x 0.08206 L atm/mole K x 287.2 K 19.00L = 4.512 atm 3. Examine the reactions below. What are the redox numbers for each element in each molecule? Which atom is oxidized and which reduced? Which atoms are the oxidizing and reducing agents? 4 Fe + 3 O2 2 Fe2O3 ox #: 0 0 ea. +3 -2 +6 -6 Iron is oxidized, reducing agent oxygen is reduced, oxidizing agent CH4 + 2 O2 ox # -4 +1 0 carbon is oxidized, reducing agent CO2 + 2 H2O +4 -2 +1 -2 oxygen is reduced, oxidizing agent 4. 136.4 g of oxygen gas, 14.9 moles of Argon gas, and 149.3 g of fluorine gas are mixed together in a tube. If the total pressure is 1.470 atm, what is the pressure of each individual gas? Daltons law sez pressure fraction = mole fraction, so find mole fraction O2 moles: 136.4 g x 1 mole/32.00 g F2 moles: 149.3 g x 1 mole/38.00 g Ar moles: = 4.2625 moles = 3.92895 moles = 14.9 moles 23.0914… moles or 23.1 to correct sig figs O2 fraction: 4.2625 moles/23.1 moles F2 fraction: 3.92895 moles/ 23.1 moles Ar fraction: 14.9 moles/23.1 moles x 1.470 atm = 0.271 atm x 1.470 atm = 0.250 atm x 1.470 atm = 0.948 atm 5. 68.06 grams of sucrose and 172.4 grams of oxygen are mixed together to make carbon dioxide and water. Which is the limiting reagent? How many grams of water and carbon dioxide are produced? C6H12O6 + 6 C = 72.06 12 H= 12.096 6 O = 96.00 180.16 g/mole 6 O2 6 H2O + C = 12.01 2O= 32.00 44.01 g/mole 6 CO2 O = 16.00 2 H= 2.016 18.02 g/mole 68.06 g x (1mole/180.16 g) x 6 CO2/1 C6H12O6 x 44.01 g/mole = 99.76 g 172.4 g x 1mole/32.00 g x 6 CO2/6 O2 x 44.01 g/mole = 237.1 g CO2 Sucrose is limiting, 99.76 g CO2 formed 68.06 g x 1mole/180.16 g x 6 H2O / 1 C6H12O6 x 18.02 g mole = 40.85 g H2O 6. A sample of gas is originally at STP (1 atm and 0 C) in a steel drum. It is heated to 451 C. What is the new pressure? First, convert temperature to Kelvin. K = C+273 = 451 + 273 = 724 K P1V1 n1T1 = P1/T1 = P2 = P2V2 n2T2 but Volume and #moles doesn’t change, so V1=V2, and n1=n2 P2/T2 so, P2 = P1V nT1 = P2V nT2 T1 x P2/T2 724 K x 1.00 atm/ 273.15 K = 2.65 atm 7. Write a total and net ionic eqn for the following reaction. NH4Cl (aq) + Pb(NO3)2 (aq) PbCl2 (s)+ NH4NO3 (aq) First, balance the eqn: 2 NH4Cl (aq) + Pb(NO3)2 (aq) PbCl2 (s)+ 2 NH4NO3 (aq) Total: 2 NH4+ (aq) + 2 Cl- (aq) + Pb2+(aq) + 2 NO3- (aq) PbCl2 (s)+ 2 NH4+ (aq) + 2 NO3- (aq) Net: remove the ammonium and nitrate spectator ions 2 Cl- (aq) + Pb2+(aq) PbCl2 (s) Extra Credit: A 25.6 g piece of lead at 149 C is dropped into 13.4 g of water at 20.3 C. What is the temperature of the resulting solution? The water heats up and the lead cools down. The heat lost by the lead is the same magnitude but opposite in sign as the heat gained by the water. -QPb = QH2O or -cmT= cmT where T = Tf –Ti initial temperatures are the different for each, but the final T is the same for both. -cPb mPb TPb = cH2O mH2O TH2O - 0.13 J/g C x 25.6 g x (Tf – 149 C) = 4.184 J/g C x 13.4 g x (Tf – 20.3 C) -3.328 J/C Tf + 495.872 C = 56.0656 J/C Tf –1138.13 C 59.3936 J/C Tf = 1634.00368 J Tf = 28 C You may notice that no attention was paid to sig figs until the final answer. That is okay because it is only necessary to pay attention to sig figs when reporting an answer or when switching back and forth between multiplication and addition (because the rules change depending on which you are doing).