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a03 - UNIVERSITY OF TORONTO fi> FACULTY OF ARTS AND...

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Unformatted text preview: UNIVERSITY OF TORONTO fi§,> FACULTY OF ARTS AND SCIENCE W, , CHM 220H1s P’s?) AUGUST EXAMINATIONS, 2003 XX) Duration — 3 Hours Aids allowed: Unprogrammed Calculators NAME (print) Student No. USEFUL DATA are attached at the back of the examination. Wild STUDENT No. ON THISJAGE The examination consists of eight question and they must be answered in the spaces provided on the test paper. Clear and concise answers are essential for full marks. Total marks = 80, which will be converted to a mark out of 100. QUESTION No. MAXIMUM MARK STUDENT'S MARK 1 10 2 10 3 10 4 10 5 1o 6 10 7 10 8 10 TOTAL MARK: / 80 = % -2- 1. One mole of an ideal gas at T1 = 298 K at a pressure of P1 = 1.00 atm is compressed and heated to a final temperature of T2 = 398 K and a pressure of P2=100am1 (a) Calculate AE, AH and AS for this process. (b) Is AG = AH - TAS for this process? Why or why not? (c) Extra credit (5 points) Show that AG = 3R/2 (T2 - T1) + 3R/2 (T1lnT1 - T2|nT2) + RT11n(P2/P1) confinued 1.confinued. conflnued -4- 2. Liquids A and B form an ideal solution. Suppose the vapor pressure of pure A is 66 Torr and the vapor pressure of pure B is 88 Torr at a temperature of T = 45°C. (a) Calculate the composition of the solution (in mole fractions) if the mole fractions ofA and B in the vapor phase above the solution are 0.4 and 0.6, respectively. (b) Given that the molar enthalpies of vaporization of A and B are 30 kJ/mol and 40 kJ/mol, respectively, what would be the composition of the vapor in mole fractions for a 1:1 solution of A and B at T = 50°C? conflnued 2.conflnued. conflnued 3. Consider the reaction at 25°C N2(9) + 3H2(9) ‘1 2NH3(Q) Suppose the initial partial pressures of the gases are: P(N2) = 1 atm, P(H2) = 2 atm and P(NH3) = 3 atm. (a) Is the initial system in equilibrium or does it evolve towards products or reactants? (b) Estimate the highest temperature at which the system equilibrates in a state in which the partial pressure of NH3 increases above its initial value of 3 atm. Data: S°[N2(g)] = 192 J/(moI—K) S°[H2(g)] = 131 J/(moI-K) S°[NH3(g)] = 193 J/(moI-K) AHfO [NH3(g)] = -46 kJ/mol confinued 3.confinued. confinued —8- 4. Campers on a mountain at an altitude of 3000 m discover that their water boils at 90°C instead of 100°C and it takes 200 minutes of cooking to make a "three minute" egg. What is the approximate activation energy for the reaction that occurs when an egg is cooked (denaturation of protein) in kJ/mole? conflnued -9- 5. Concerning enzyme catalysis, what is meant by (a) Competitive inhibition ? (b) Noncompetitive inhibition ? (c) Uncompetitive inhibition ? (d) If you were to plot the reciprocal of the initial rate versus the reciprocal of the substrate concentration with and without the inhibitor, how could you tell whether the plot depicts a competitive or a noncompetitive inhibition ? confinued -10- 5.00nfinued. confinued -11- 6. What is the probability of finding the particle in the middle third of the box (i.e. between a/3 and 2a/3) for a particle in a one dimensional box of length a for the n = 2 level. tun = (2/a)"2 sin (nnx/a) ; fsinszdx = x/2 - (sin2bx)/4b conflnued -12- 7. (a) Sketch the radial distribution function, 4nr2[R(r)]2 versus r for a hydrogen 4d orbital. (b) Explain why the plot you have drawn in (a) is more informative than a plot of [R(r)]2 versus r for the same 4d orbital. confinued -13- 8. (a) Assuming that the vibrations of a Cl2 molecule (where both of the atoms are Cl-35 isotopes) are equivalent to those of a harmonic oscillator with a force constant of k = 330 Nm", what is the zero-point energy for this molecule ? (b) Would this molecule absorb IR radiation ? Provide reasons for your answer. -14- Useful data and equations R = 8.3145 J/(mol-K) c = 3.00 x108 m/s U)» = 170 (f: frequency) H=E+PV E=3/2nRT PV=nRT As = nR 1n Vz/Vl As = nCp 1n Tz/Tl AH = nCpAT AB = nCVAT AG = nRT 1n Pz/Pl AG = -fS(T)dT 1n (lg/1),) = - (AHvap/R) (1/T2 — 1/T1) PA=XAP* PA=XAVP flnxdx =x1nx-x —RT1nKp = ArG" ArG" = AH‘) — TArS" A,G = ArG" + RTan 111(k2/k1) = ' (Ea/R) (1/T2 ' l/Tl) I/u =1/m1+ 1/m2 Er: J(J+1)h2/81t21 v = (1/21c) (k/p)“2 Ev = (v + 1/2) hf (f = frequency) TOTAL PAGES = 14 ...
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