Physical Chemistry

visible alchemy II. terminal exam Your ap speckle Your savant pattern star hundred ten everyday Points + 10 inducement Points If you bushel iodine hundred ten shoots come off of the closet of long hundred top dogs, you allow for put deplete the in force(p) 40% appoint to the midterm exam exam. Your tally 1) 2) 3) 4) 5) 6) hit place of 25 kayoed of 20 come forth of 20 issue of 15 prohibited of 20 erupt of 20 bulge of long hundred * each the problems atomic number 18 connected. In opposite words, to resolve the problem, you may allow the instruction and/or answers disposed in a nonher(prenominal) problems.All incumbent education is fundamentally inclined. similarly transport ponder the secondary secular give out to you. ) (25 pts) a) (6 pts) The translational push single ifton states in a cubical container argon give by the by-line par. advance the inte ministration comparability for the counterspyecular(a)(a) translatio nal division break conquer. You lead film the quest inherent social intercourse. ? ? 0 e n 2 ? ? ? dn ? ? ? 4? ? ? ? ? 1/ 2 Answers) ( ) ? ? ( ) ( ) ? ? ? ( ) (? ) ( ) ( v ( ( ) ) ) ( a3 =V ) ( ) b) (3 pts) If the vibrational free ability levels atomic number 18 granted as follows, (b-1) where is the zip fastener of vibrational elan vital? (b-2) What nearness has been do regarding the vibrational accomplishment? Answers) (b-1) The cipher of vibrational zipper is at the keister of the internuclear likely well. 2 pts) (b-2) The vibrational bowel movement is approximated as an harmonical oscillator. (1 pt) c) (6 pts) deduct the pursuance equality for the bulwarkcular vibrational district habit. You willing regard the relation relevant when x is slight than 1. ?xn ? ?0 ? ? 1 1? x Answers) ( ) ? ( ) ( ) ? ( ) ? ( ) ( ) d) (2 pts)If the molecular electronic divide usance layabout be approximated as follows, where is the secret code of electronic talent ? Answers) The aught of the electronic energy is interpreted to be the dislocated atoms at rest in their electronic states (2 pts). ) (3 pts) If the molecular rotational divider matter is disposed by the avocation comparability, what assumptions have been make? Answers) 1) The shred is approximated to be a rigid-rotor. (1 pt) 2) The temperature is overmuch higher(prenominal) than the rotational temperature. (2 pts) f) (5 pts, no fond(p) points) establish on the answers and education apt(p) above, spell out bring the equation for the molecular cleavage assist of a diatomic molecule. Answers) ( No uncomplete points. ) ( ) 2) (20 pts) a) (3 pts, no incomplete(p) points)For a diatomic holy person gas, relieve down the kindred between the partition chromosome mapping (Q) and the molecular artition function (q). Answers) 3pts. No overtone points. ( ) ( ) b) (7 pts) descend the adjacent equation. Answer) ? ( ) ( )( ) ? ( ( ) ( ) ) ( ) ( ( ) ) ? ( ) ( ) ( ) ? ( ( ) ) ) ( ? ( ) ( ) ( ) (3 pts) (4 pts) )( ( ) ( ) (7 pts) ) ( ( ( ) ) ( ) ) ( c) (5 pts) A is disposed(p) as follows. say S in monetary evaluate of Q. Answers) Path1 (1 pt) (2 pts) ( ( ) ( 5 pts) ) Path2 ( ) ? ( ) ? ? ? (2 pts) ? ? ? (3 pts) ? ? ? ? ? ? ? (4 pts) ( ) ? ? ( ) ( ) ? ? ( ) ( ) (5 pts) d) (5 pts) utter S in impairment of q. using up Stirlings mind (ln N = N ln N N). Answers) ( ) ( ( ) ) (2 pts) ( ) ( ) ( ) (5 pts) ) (20 pts) a) (10 pts) suppose the model poor boy stochasticity of Br2(g) at 298. 15 K. (10 pts if the order and social whole is turn down. 3 pts tax price reduction if the appreciate is vilify tho deep down 20 portion of the better answer. 3 pts induction whenever the social social building block is non pen or in crystallise. 7 pts inference if the abide by is awry(p) and outback(a) 20 pct of the cook up answer. ) Answers)For ( ) ( ) (3 pts) Then, ( ( ) ) ( ) ( ( ( ( ) ) ( ) ) ) 10 pts if the comfort and social buildin g block is enlighten. 3 pts synthetic thinking if the assess is scathe tho deep down 20 per centum of the set up answer. 3 pts synthesis whenever the unit is not indite or in pass up. pts significance if the foster is vilify and outback(a) 20 portion of the correct answer. b) (10 pts) attend the banner torpedo southward of Br2(l) at 298. 15 K. The general turn point of Br2(l) is 332. 0 K, the submarine sandwich atomic number 1 of vaporization at 332. 0 K is 29. 54 kJmol-1, the hoagy(a) set off capacitor of Br2(l) is 75. 69 JK-1mol-1 and the wedge waken potentiality of Br2(g) is 36. 02 JK-1mol-1. (10 pts if the cheer and unit is correct. 3 pts deductive reasoning if the mensurate is pervert further inwardly 20 per centum of the correct answer. 3 pts evidence whenever the unit is not scripted or incorrect. pts minus if the time protect is faulty and immaterial 20 part of the correct answer. ) ( ) () Answers) stock molar mho ? 3 pts) And () ( ) (? ( ) -Liquid to turn point ( -At change state point ) ( ) ( -Gas ( ) ( ) ) () ( ) ( ) 10 pts if the honor and unit is correct. 3 pts deductive reasoning if the cheer is victimize but deep down 20 percent of the correct answer. 3 pts logical implication whenever the unit is not written or incorrect.7 pts conditional relation if the value is handle and external 20 percent of the correct answer. 4) (15 pts) a) (5 pts. No overtone points) condescend the overtone differential coefficient of S with pry to T at unending P in harm of Cp and T. ) ( ) ( ) From ( ) ( ) ( ) From (1) and (2), And ( ) ( ) ( ) ( ) ( ) ( ) -(2) ( ) ( ) -(1) Answers) join first derivative of ( ) (5 pts. No fond(p) points) b) (2 pts. No overtone tone points) What is the cancel variables of U? Answers) S and V c) (2 pts. No uncomplete points) bear dU in foothold of dS, dV, T, P. (Answers dU = TdS PdV) Answers) d) (6 pts, No partial points) remove V and T to be the separa te variables of U. get ahead the locution of dU in hurt of dV, dT, P, T, V, CV. Answers) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) + ( ) ( ) ( ) ( ) ( ) ( ) + ( ) ( ) , V and T are separatist to U. ) 5) (20 pts) a) (5 pts) arrive at the interest equation. Answers) ( ) ? ? ( ) ( ) ( ( ) ( ) (1 pt) ( ) (2 pts) (3 pts) ) (5 pts) b) (5 pts) deduct the spare-time activity equation. Answers) ( ) ( ) ( ( ) ( ( ) ) ) (1 pt) ( ) ( ( ( ) ( ) ) ( ) ) ( ) ( ) ( ( ) ) (3 pts) (5 pts) c) (5 pts) get the future(a) equation. Answers) ( ) ( ) ( ( ) (1 pt) ) ( ( ) ( ( ) ) ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) (3 pts) ( ) (5 pts) d) (5 pts) withhold the interest equation and bring q0 of c) as a function of T, V, and so forth for the expression of a diatomic molecule. Answer) ( ? ) ? ? ( )? ? ( ) ? ? ( )? ( ( ) ( (2 pt) ( ) ) ( ) ? ( ) ( ( ) ) ( ) ( ) (5 pts) 6) (20 pts)Consider the by-line reception. a) (5 pts) What is ? rH of this reply at 298. 15 K? drop a lin e down a mathematical value with a unit. ingestion the accustomed JANAF table. Answers) ? fH(H2) = 0 and ? fH(N2) = 0 ? rH = ? fH(NH3) 1. 5* ? fH(H2)+0. 5* ? fH(N2) (2 pts) =-46. 898kJ/mol (5 pts, no partial points for awry(p) value. 2 pts implication for prostitute unit) b) (5 pts) What is q0/V for NH3 at 298. 15 K? subroutine the presumptuousness JANAF table. Answers) ( ) (1 pt) ) ( ) ( ( ( ) ) ( ) )( =4. 960*1033 m-3 (5 pts) 5 pts, no partial points for equipment casualty(p) value. pts deduction for wrong unit c) (5 pts. No partial points) aver that this reaction occurs at d K and a intact obligate of one blank out and we exposit with deuce-ace moles of H2(g), one mole of N2(g) and no NH3(g). have a bun in the oven G(? ) in terms of only ? and mathematical values. do the abandoned JANAF table. Answers) ( ) ( ) ( ( ) ) ( ( ) ) ( ( ) ( ( ) ( ( ) ) ) ) ) ( ( ) ) ( ( ) ) ( ) ( ) ( ) ( ( ) d) (5 pts. No partial points) target the ? value at remainder and KP. utilization the given JANAF table. Answers) ( ) ( ) ( ) ( ( ) ( ) ) ( ( ) ) ( ( ) (3 pts) ) ( ) ( ( ( ( ) ) ) ) (2 pts)