Jesse Salas Anh Nguyen Nizkorodov Chem 1B Midterm I Review 1. Rank the following by increasing strength of dispersion forces: AlCl3, AlBr3, AlF3, AlH3, AI3 AlH3 < AlF3 < AlCl3 < AlBr < AlI3 (increasing mass) 2. Rank the following by increasing strength (generally speaking): Dipole‐dipole, Dispersion forces, dipole‐induced diple, ionic, ion‐induced diple, ion dipole, Hydrogen bonds, Dispersion < Dipole‐induced dipole < Ion‐induced dipole < Dipole‐dipole Hydrogen bonds < Ion dipole < Ionic 3. a.) Name the types of IMFs existing between the following molecules: HI, C2H6, NaOH, HCl, H2O HI : Dipole‐Dipole, VDW NaOH: Ionic, Dipole‐dipole, Hydrogen bond, VDW C2H6: VDW HCl: Dipole‐Dipole, VDW H2O: H‐bond, dipole‐dipole, VDW, Dipole‐Dipole b.) Rank the same molecules above by increasing boiling points. C2H6 < HCl < HI < H2O < NaOH 4. Rank the following substances according to decreasing boiling point: CH3(CH2)3CH3, CaBr2, CH3OH, Ne (also put what IMFs hold them together) CaBr2 > CH3OH > CH3(CH2)3CH3 > Ne Ionic, Dipole, VDW > H‐bond, dipole, VDW > VDW > VDW 5. Krypton crystallizes with a facecentered cubic unit cell of edge 559 pm. What is the density of solid Xenon? Jesse Salas Anh Nguyen Nizkorodov Chem 1B Midterm I Review Convert pm to cm: 559 pm x (1 cm/1010 pm) = 559 x 10¯10 cm = 5.59 x 10¯8 cm Calculate the volume of the unit cell: (5.59 x 10¯8 cm)3 = 1.7468 x 10¯22 cm3 Calculate the average mass of one atom of Kr: 139.29 g mol¯1 divided by 6.022 x 1023 atoms mol¯1 = 2.313 x 10¯22 g Calculate the mass of the 4 krypton atoms in the facecentered cubic unit cell: 2.313 x 10¯22 g times 4 = 9.252 x 10¯22 g Calculate the density (value from step 4 divided by value from step 2): 9.252 x 10¯22 g / 1.7468 x 10¯22 cm3 = 5.30 g/cm3 6. Palladium crystallizes in a facecentered cubic unit cell. Its density is 12.023 g/cm3. Calculate the atomic radius of palladium. Calculate the average mass of one atom of Pd: 106.42 g mol¯1 ÷ 6.022 x 1023 atoms mol¯1 = 1.767187 x 10¯22 g/atom Calculate the mass of the 4 palladium atoms in the facecentered cubic unit cell: 1.767187 x 10¯22 g/atom times 4 atoms/unit cell = 7.068748 x 10¯22 g/unit cell Use density to get the volume of the unit cell: 7.068748 x 10¯22 g ÷ 12.023 g/cm3 = 5.8793545 x 10¯23 cm3 Determine the edge length of the unit cell: [cube root of] 5.8793545 x 10¯23 cm3 = 3.88845 x 10¯8 cm Determine the atomic radius: Remember that a facecentered unit cell has an atom in the middle of each face of the cube. The square represents one face of a facecentered cube: Jesse Salas Anh Nguyen Nizkorodov Chem 1B Midterm I Review Using the Pythagorean Theorem, we find: d2 + d2 = (4r)2 2d2 = 16r2 r2 = d2 ÷ 8 r = d ÷ 2(√2) r = 1.3748 x 10¯8 cm 7. The volume of an ideal gas is increased from 9.1 L to 16.4 L at a constant pressure of 1.5 atm. Calculate the work (in J) associated with this process. What sign does it have and why? What kind of reaction is taking place? Is work being done on the system or by the system? W=PΔV ΔV=16.4 L – 9.1 L = 7.3L W= 1.5atm(3.8L)= 10.95 L*atm 1L*atm = 101.325 J W= 10.95 L*atm (101.325 J/L*atm)= 1109 J negative sign because energy is being released; exothermic Work is being done by the system to the surroundings. 8. Ethane burns in air according to the equation 2 C2H6 + 7 O2 6H2O + 4 CO2, Jesse Salas Anh Nguyen Nizkorodov Chem 1B Midterm I Review 132 g of ethane are used up in the combustion, what mass of water is produced? 9. In one process, 111 g of Al are reacted with 584 g of Fe2O3 in the reaction Al + Fe2O3 Al2O3 + Fe, Calculate the maximum mass of Al2O3 that can be formed. If 167g of Al2O3 is actually formed what is the reaction yield? 10. Calculate the final volume of a balloon when it is heated with 1.5*105 J of energy at an initial volume is 3.5*103L while the total internal energy of the system is 1.2*105 J . Assume balloon expands at constant pressure of 1.5atm. U = q+w U = 9.00*107 J Q = 1.5 *108 J W = ‐PdV = ‐1.5(Vf ‐ 3.5*103L) * 101.395J/L*atm 1.2*105 J = 1.5 *105 J + ‐1.5(Vf ‐ 3.5*103L) * 101.395J/L*atm Vf = 3.7 11. Consider H2 + Cl2 ‐> 2HCl ΔHrxn =‐184.6kJ/mol If 5mol of H2 reacts with 5mol of Cl2, calculate the work done at STP, and ΔE for the reaction. W = ‐PΔV = ‐1Δ0. 0 because 5mol+5mol ‐> 10mol, n stays the same! E = q + w. q = 10mol HCl * ‐184.6kJ/mol = 1846kJ E = 1846kJ + 0kJ = 1846kJ 12. Determine amount of energy released when 3.45*103 g of NO2 are produced from the following equation: 2NO(g) + O2 ‐> 2NO2(g) ΔHrxn = ‐114.6kJ/mol Jesse Salas Anh Nguyen Nizkorodov Chem 1B Midterm I Review Given: 3.45*103 g of NO2 Required: kJ released from NO2 Plan: g of NO2 to mol of NO2 to kJ of NO2 3.45*103 g of NO2 * 1mol NO2 * ‐114.6kJ = 3594.27 kJ = 3.59*103 kJ 55g NO2 2mol NO2 13. Consider H2(g) ‐> H (g)+ H(g). ΔHrxn =436.4 kJ/mol Calculate enthalpy of formation of H(g) ΔHrxn = ΣProducts – Σreactants 436.4 kJ/mol = (0) – (x + x) x = ‐ 218.2 kJ/mol ‐‐‐‐‐ ΔHf of H2,O2,N2 = 0 14. An object of mass 25g at 150ºC is placed in a calorimeter containing 90ml of water at room temperature (25ºC). Calculate the final temperature of the mixture if the specific heat capacity of the metal is 23.5 J/ g*K Given: 25g object at 150ºC, and 90ml of water at 25ºC. System 1 = object, q=mcΔT = 25(23.5J/g*K) (150+273 –Tf) System 2 = water, q = mcΔT = 90ml = 90g(4.816J/g*K)(Tf – 25+273) Conservation of energy = System1 = System2, therefore 25g(23.5J/g*K)(423K – Tf) = 90g(4.816J/g*K)(Tf – 298) 248512.5J – 587.5J/K Tf = 433.44J/K Tf – 129165.12J 377677.62J = 1020.94 J/K Tf 369.93 K = Tf = 96.93ºC 15. Two 150g icecube at 0ºC is placed in a 500mL water bath of 100ºC. Will there be any remaining ice in the solution? If yes, calculate the amount that is left. If no, calculate the final temperature that the mixture will be at. Hfus of ice = 6.010kJ/mol. Specific heat of water = 4.816 J/g*C Jesse Salas Anh Nguyen Nizkorodov Chem 1B Midterm I Review Energy it takes to melt the ice: 2*150g ice * 1mol * 6.010kJ/mol = 100.166kJ 18gice Energy it takes to cool down water: Q=mcat = 500(4.816J/g*C)(100) = 240800J = No ice will remain! System1 = two 150g Ice @ 0ºC changing state to total 300g water at 0ºC System 2 = 300g Water at 0ºC going up to final temperature System 3 = 200ml Water at 70ºC going down to final temperature System1 = 2*150g ice * 1mol * 6.010kJ/mol = 100.166kJ 18gice System 2 = q=mcat = 300g * 4.816J/g*C (Tf – 0) = 1444.8J/K Tf System 3 = q=mcat = 500g * 4.816J/g*C (100 – Tf) = 240900J –2408J /K Tf U1 + U2 (energy system of moving ice up) = U3 (energy system of moving water down) 100.166kJ + 1444.8J/K Tf = 240900J –2408J /K Tf Tf = 36.5ºC 16. Find the enthalpy of reaction for N2(g) + 2O2(g) ‐> 2NO2(g), given that N2(g) + 3H2(g) → 2NH3(g) ΔH = ‐115 kJ 2NH3(g) + 4H2O(l) → 2NO2(g) + 7H2(g) ΔH = ‐142.5 kJ H2O(l) → H2(g) + 1/2O 2(g) ΔH = ‐43.7 kJ answer = ‐83 kJ a + 3(c) + b – 7(c) = ‐82.7kJ
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