Solutions to the Final Examination 202-001-50 Fall 2010 1. a) hydrochloric acid mercury (I) nitric acid calcium fluoride lead (IV) sulfate barium chloride dihydrate dinitrogen pentoxide sodium perchlorate b) CO32− HBr (aq) SF6 SnO KMnO4 AgCℓ CuS NH4NO3 2. Isotope Symbol Name Sodium 23 11 Sulfur Na 32 16 Chromium (III) S 52 24 Cr Phosphorus anion 31 15 P 3+ 3− Atomic Number Mass Number Number of Neutrons Number of protons Number of electrons 11 23 12 11 11 16 32 16 16 16 24 52 28 24 21 15 31 16 15 18 3. a) 0.24 mL 0.025 g 25.205 cm 3 2.85 g 10 mg 10 mL 2.85 × 106 mg b) = mL g L L 3 9 −297.4° F ( −183.0°C ) + 32 = 5 c) −183.0°C + 273.15 = 90.2 K d) ( 2.24 ×10 ) × ( 5.464 ×10 ) − 0.200 = 1.2 − 0.200 = 1.0 −5 e) f) 4 1.0 × 102 V= 2.40 × 102 cm3 = 2.40 × 102 mL ( 5.00 cm ) × ( 4.00 cm ) × (12.0 cm ) = 1.28 g 2 2 m = × ( 2.40 × 10 mL ) =3.07 × 10 g =0.307 kg mL 4.57×10–2 5.10×100 7.87×105 4. a) 4 Ga (s) + 3 O2 (g) → 2 Ga2O3 (s) b) C3H8 (g) + 5 O2 (g) → 3 CO2 (g) + 4 H2O (ℓ) c) 3 Mg (s) + Mn2O3 (s) → 3 MgO (s) + 2 Mn (s) 5. 6 CℓO2 (g) + 3 H2O (ℓ) → 5 HCℓO3 (aq) + HCℓ (ℓ) Molar mass: CℓO2 = 67.45 H2O = 18.02 HCℓO3 = 84.46 142.0 g 38.0 g = 2.105 = mol nH O = 2.109 mol 67.45 g / mol 18.02 g / mol = nCO 2 2 a) Assume H2O is the Limiting Reactant. 6 mol C O2 nCO == 2.109 mol H 2 O = 4.218 mol C O2 > 2.105 mol 3 mol H 2 O The assumption is not valid. CℓO2 is the Limiting Reactant 2 5 mol HC O3 2.105 = mol C O2 1.754 mol HC O3 6 mol C O2 b) 84.46 g = mHCO 1.754 = mol HC O3 148.2 g mol 80.0 g × 100%= 53.99% c) % yield= 148.2 g nHCO 3 3 6. a) V1 V2 = T2 T2 V2 =V1 × PV = RT = n b) T2 100.0 + 273.15 =1.88 L =2.38 L T1 21.0 + 273.15 (1.35 atm )( 2.50 L ) = ( 0.08206 L ⋅ atm ⋅ K ⋅ mol ) ( 303.2 K ) −1 −1 0.136 mol 20.2 g = = m 0.136 mol 2.74 g mol c) C2H4 (g) + 3 O2 (g) → 2 CO2 (g) + 2 H2O (ℓ) 3 mol O2 0.500 = mol C2 H 4 1.50 mol O2 1 mol C2 H 4 −1 −1 nRT (1.50 mol ) ( 0.08206 L ⋅ atm ⋅ K ⋅ mol ) ( 273.15 K ) = = 33.6 L V = 1.000 atm P nO 2 7. a) 8 Hg (ℓ) → S8 (s) → 8 HgS (s) i) Mixture HgS (s) ii) Chemical change. Nature of the material has changes. As well the leading statement says there was a reaction. 13.6 g × 100.0 mL = 1360 g mL iii) m = b) filtration, distillation, evaporation c) A compound is a pure substance. A mixture is a physical combination of several pure substances. d) A homogenous mixture is uniform in appearance and composition. A heterogeneous mixture is non-uniform in appearance and composition; there is a physical boundary between the components of a heterogeneous mixture. 8. a) Elements Ti, Fe, Ag Mg, Sr, Ba Li, K, Rb Ne, Kr, Xe F, Br, I b) i) ii) iii) iv) 9. Classification Transition metals Alkaline earth metals Alkali metals Noble gases halogens False. Neutrons have no charges False. Electrons occupy the space outside the nucleus. False. Most of the atomic mass resides in the nucleus. False. Isotopes of an element may have different numbers of neutrons. Acid-Base Precipitation Combustion H3PO4 (aq) + 3 NaOH (aq) → Na3PO4 (aq) + 3 H2O (ℓ) CaCℓ2 (aq) + Na2SO4 (aq) → 2 NaCℓ (aq) + CaSO4 (s) 2 C6H11OH (l) + 17 O2 (g) → 12 CO2 (g) + 12 H2O (ℓ) i) ii) Fe2(SO4)3 P 4O 6 iii) (NH4)2C2O4 iv) SrCr2O7 Fe : +3 P: +3 N: –3 Sr: +2 S: +6 O: –2 H: +1 Cr: +6 O: –2 C: +3 O: –2 10. SiCℓ 4 (ℓ) + Mg (s) → MgCℓ2 (s) + Si (s) SiCℓ 4 (ℓ) + 4 e– → Si (s) + 4 Cℓ– (aq) Mg (s) + 2 Cℓ– (aq) → MgCℓ2 (s) + 2 e– O: –2 reduction oxidation Balanced: SiCℓ 4 (ℓ) + 2 Mg (s) → Si (s) + 2 MgCℓ2 (s) Oxidizing Agent: SiCℓ 4 Reducing Agent: Mg Oxidized species: Mg Reduced species: Si 11. Na2CO3 (aq) + 2 HCℓ (aq) → 2 NaCℓ (aq) + H2O (ℓ) + CO2 (g) CIE: 2 Na+ (aq) + CO32− (aq) + 2 H+ (aq) + 2 Cℓ– (aq) → 2 Na+ (aq) + 2 Cℓ– (aq) + H2O (ℓ) + CO2 (g) NIE: 2 H+ (aq) + CO32− (aq) → H2O (ℓ) + CO2 (g) Spectator ions: Na+, Cℓ– 12. a) Atom C H N O Mass (g) 0.2990 0.05849 0.2318 0.1328 Moles (mol) 0.02489 0.05803 0.01655 0.008300 Mole Ratio 2.999 6.992 1.994 1.000 Simplest Ratio 3 7 2 1 Empirical Formula: C3H7N2O b) Molar Mass = 1 Formula Mass: 3 (12) + 7 (1) + 2 (14) + 16 = 87 Formula Mass Molecular Formula: C3H7N2O 13. a) 8 H2S (aq) + 8 Cℓ2 (aq) → 16 HCℓ (aq) + S8 (s) mol 2.40 × 10−5 g −5 n= = 3.52 × 10 mol H S ( 50.0 L ) L 34.08 g 1.80 g = = 0.0254 mol nC 70.91 g / mol 2 2 By inspection, the Limiting Reactant is H2S 5 = nC 0.0254 mol − 3.52 × 10−= mol 0.0254 mol 2 mC = 1.80 g 2 1 mol S8 256.5 g mS = 3.52 × 10−5 mol H 2 S 0.00113 g = 8 mol H 2 S mol b)= Actual Yield (18.65 = g )( 0.400 ) 7.46 g 8 14. A: Exactly 50°C B: Between 10°C and 50°C C: Between 10°C and 50°C 15. a) m = 0.220 M )(1.50 L ) (= ( 0.1 M )(1.5 L ) 294.3 g mol 97.1 g b) V = = 9 × 10−4 L = 0.9 mL 16 M c) i) NaOH ii) H2SO4 iii) H2SO4 (aq) + 2 NaOH (aq) → Na2SO4 (aq) + 2 H2O (ℓ) ( 0.141 M )( 0.0142 L ) 2 mol NaOH iv) = [ NaOH ] = 0.0700 M 0.0572 L 1 mol H 2 SO4 16. a) i) ii) b) i) ii) The rate of the forward reaction is equal to the rate of the reverse reaction KP = PO2 PC4 2 N2 (g) + 3 H2 (g) → 2 NH3 (g) 2 PNH 3 KP = PN2 PH32 [ NH ]= ( 0.157 ) = 6.02 × 10 [ N ][ H ] ( 0.921)( 0.763) [ NH ]= ( 0.203) = 6.02 × 10 [ N ][ H ] ( 0.399 )(1.197 ) [ NH ]= (1.82 ) = 6.02 × 10 [ N ][ H ] ( 2.59 )( 2.77 ) 2 No.1 = KC 2 −2 3 3 2 3 2 2 iii) No.2 = KC 2 3 3 2 2 2 No.3 = KC 3 2 −2 3 3 2 3 2 d) ii) Because the temperature of the reaction is constant. 17. a) b) d [H2 ] d [ Br2 ] 1 d [ HBr ] R= − = + = + dt dt 2 dt 0.500 M − 0.455 M 0.045 M Average = Rate = = 0.0030 M / s 15 s 15 s −2
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