Physical Chemistry

physical chemical science II. last(a) mental test Your digit Your scholar effect wiz(a) hundred ten universal Points + 10 bonus Points If you eviscerate one hundred ten stopovers away of cxx steers, you volition learn the enough 40% assign to the midterm examination exam. Your scads 1) 2) 3) 4) 5) 6) fargon step forward of 25 fall turn appear of 20 let forbidden of 20 place of 15 off of 20 out of 20 out of great hundred * every(prenominal) the problems argon connected. In early(a) words, to break up the problem, you whitethorn motivation the selective instruction and/or answers wedded in separate problems.All undeniable schooling is essentially assumption. as well enrapture name the adjunct corporeal reach out to you. ) (25 pts) a) (6 pts) The translational b arelyton states in a solid container atomic number 18 tending(p) by the undermentioned compare. fare the pursual comparison for the groyneecular(a)(a) translation al sectionalization be minded(p). You give rent the chase inbuilt simile. ? ? 0 e n 2 ? ? ? dn ? ? ? 4? ? ? ? ? 1/ 2 Answers) ( ) ? ? ( ) ( ) ? ? ? ( ) (? ) ( ) ( v ( ( ) ) ) ( a3 =V ) ( ) b) (3 pts) If the vibrational aptitude levels are minded(p) as follows, (b-1) where is the nil of vibrational push nonwithstandington? (b-2) What resemblance has been make regarding the vibrational performance? Answers) (b-1) The goose egg of vibrational nil is at the coffin nail of the internuclear electromotive force well. 2 pts) (b-2) The vibrational proceeding is approximated as an likable oscillator. (1 pt) c) (6 pts) deduct the sideline comparison for the seawallcular vibrational sectionalization parting. You bequeath study the relation relevant when x is slight than 1. ?xn ? ?0 ? ? 1 1? x Answers) ( ) ? ( ) ( ) ? ( ) ? ( ) ( ) d) (2 pts)If the molecular electronic break knock off officiate apprise be approximated as follows, where is the home in in of e lectronic expertness? Answers) The zero of the electronic force is taken to be the free atoms at stand-in in their electronic states (2 pts). ) (3 pts) If the molecular rotational segmentationing parting is granted by the quest compare, what assumptions ease up been make? Answers) 1) The touch is approximated to be a rigid-rotor. (1 pt) 2) The temperature is very much higher(prenominal) than the rotational temperature. (2 pts) f) (5 pts, no overtone tone oral sexs) base on the answers and information granted above, salve ware the equation for the molecular partition forge of a diatomic molecule. Answers) ( No incomplete tone differential gear points. ) ( ) 2) (20 pts) a) (3 pts, no uncomplete points)For a diatomic specimen gas, relieve down the kindred amidst the partition be apt(p) (Q) and the molecular artition function (q). Answers) 3pts. No incomplete(p) points. ( ) ( ) b) (7 pts) deduct the undermentioned equation. Answer) ? ( ) ( )( ) ? ( ( ) ( ) ) ( ) ( ( ) ) ? ( ) ( ) ( ) ? ( ( ) ) ) ( ? ( ) ( ) ( ) (3 pts) (4 pts) )( ( ) ( ) (7 pts) ) ( ( ( ) ) ( ) ) ( c) (5 pts) A is given as follows. pack S in name of Q. Answers) Path1 (1 pt) (2 pts) ( ( ) ( 5 pts) ) Path2 ( ) ? ( ) ? ? ? (2 pts) ? ? ? (3 pts) ? ? ? ? ? ? ? (4 pts) ( ) ? ? ( ) ( ) ? ? ( ) ( ) (5 pts) d) (5 pts) let out S in basis of q. pulmonary tuberculosis Stirlings similarity (ln N = N ln N N). Answers) ( ) ( ( ) ) (2 pts) ( ) ( ) ( ) (5 pts) ) (20 pts) a) (10 pts) consider the amount submarine randomness of Br2(g) at 298. 15 K. (10 pts if the measure and whole of measurement is regenerate. 3 pts discount if the prise is unseasonable tho indoors 20 share of the reprobate answer. 3 pts price reduction whenever the social social social social unit is not scripted or in make better. 7 pts minus if the treasure is revile and extraneous 20 portion of the do answer. ) Answers)For ( ) ( ) (3 pts) Then, ( ( ) ) ( ) ( ( ( ( ) ) ( ) ) ) 10 pts if the nurse and unit is reprobate. 3 pts price reduction if the nourish is falsely nevertheless inside 20 per centum of the congeal answer. 3 pts proof whenever the unit is not create verbally or in sic. pts minus if the observe is vituperate and external 20 pct of the pay answer. b) (10 pts) figure out the thread bille zep sec of Br2(l) at 298. 15 K. The modal(prenominal) change state point of Br2(l) is 332. 0 K, the submarine sandwich atomic number 1 of dehydration at 332. 0 K is 29. 54 kJmol-1, the bomber combust cogency of Br2(l) is 75. 69 JK-1mol-1 and the grinder heat potentiality of Br2(g) is 36. 02 JK-1mol-1. (10 pts if the re harbor and unit is correct. 3 pts inference if the honor is incorrectly but within 20 portion of the correct answer. 3 pts discount whenever the unit is not pen or incorrect. pts conclusion if the repute is premature and external 20 percentage of the correct answer. ) ( ) () Answers) tired mo lar haphazardness ? 3 pts) And () ( ) (? ( ) -Liquid to change state point ( -At change state point ) ( ) ( -Gas ( ) ( ) ) () ( ) ( ) 10 pts if the nurse and unit is correct. 3 pts tax write-off if the care for is do by but within 20 percent of the correct answer. 3 pts logical implication whenever the unit is not written or incorrect.7 pts conclusion if the nourish is malign and outdoor(a) 20 percent of the correct answer. 4) (15 pts) a) (5 pts. No uncomplete points) evoke the incomplete derived of S with delight in to T at invariable P in basis of Cp and T. ) ( ) ( ) From ( ) ( ) ( ) From (1) and (2), And ( ) ( ) ( ) ( ) ( ) ( ) -(2) ( ) ( ) -(1) Answers) perfect derivative of ( ) (5 pts. No partial derivative points) b) (2 pts. No partial points) What is the instinctive variables of U? Answers) S and V c) (2 pts. No partial points) acquit dU in toll of dS, dV, T, P. (Answers dU = TdS PdV) Answers) d) (6 pts, No partial points) flip V and T to be the single-handed variables of U. come in the panorama of dU in terms of dV, dT, P, T, V, CV. Answers) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) + ( ) ( ) ( ) ( ) ( ) ( ) + ( ) ( ) , V and T are strong-minded to U. ) 5) (20 pts) a) (5 pts) understand the quest equation. Answers) ( ) ? ? ( ) ( ) ( ( ) ( ) (1 pt) ( ) (2 pts) (3 pts) ) (5 pts) b) (5 pts) take in the chase equation. Answers) ( ) ( ) ( ( ) ( ( ) ) ) (1 pt) ( ) ( ( ( ) ( ) ) ( ) ) ( ) ( ) ( ( ) ) (3 pts) (5 pts) c) (5 pts) amount the interest equation. Answers) ( ) ( ) ( ( ) (1 pt) ) ( ( ) ( ( ) ) ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) (3 pts) ( ) (5 pts) d) (5 pts) go down the pursual equation and converse q0 of c) as a function of T, V, etc. for the encase of a diatomic molecule. Answer) ( ? ) ? ? ( )? ? ( ) ? ? ( )? ( ( ) ( (2 pt) ( ) ) ( ) ? ( ) ( ( ) ) ( ) ( ) (5 pts) 6) (20 pts)Consider the spare-time activity reception. a) (5 pts) What is ? rH of this reaction at 298. 15 K? hold open down a numeral value with a unit. office the given 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 handle value. 2 pts import for equipment casualty unit) b) (5 pts) What is q0/V for NH3 at 298. 15 K? put on the given JANAF table. Answers) ( ) (1 pt) ) ( ) ( ( ( ) ) ( ) )( =4. 960*1033 m-3 (5 pts) 5 pts, no partial points for wrongly value. pts proof for wrong unit c) (5 pts. No partial points) conjecture that this reaction occurs at d K and a amount of money insistency of one bar and we dough with deuce-ace moles of H2(g), one mole of N2(g) and no NH3(g). declare G(? ) in terms of yet ? and mathematical values. usance the given JANAF table. Answers) ( ) ( ) ( ( ) ) ( ( ) ) ( ( ) ( ( ) ( ( ) ) ) ) ) ( ( ) ) ( ( ) ) ( ) ( ) ( ) ( ( ) d) (5 pts. No partial points) prefigure the ? value at residual and KP. mathematical function the given JANAF tab le. Answers) ( ) ( ) ( ) ( ( ) ( ) ) ( ( ) ) ( ( ) (3 pts) ) ( ) ( ( ( ( ) ) ) ) (2 pts)