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2014 SPRING Semester Midterm Examination For General Chemistry I Date: April 23 (Wed), Time Limit: 19:00 ~ 21:00 Write down your information neatly in the space provided below; print your Student ID in the upper right corner of every page. Professor Name Class Problem points Student I.D. Number Problem 1 2 /8 Name TOTAL pts points /12 /8 7 8 3 /8 9 /14 4 /6 10 /8 5 /8 11 /8 6 /12 /8 /100 ** This paper consists of 14 sheets with 11 problems (page 12 & 13: constants & periodic table, page 14: claim form). Please check all page numbers before taking the exam. Write down your work and answers in the Answer sheet. Please write down the unit of your answer when applicable. You will get 30% deduction for a missing unit. NOTICE: SCHEDULES on RETURN and CLAIM of the MARKED EXAM PAPER. (채점답안지 분배 및 이의신청 일정) 1. Period, Location, and Procedure 1) Return and Claim Period: April 28 (Mon, 18: 30 ~ 19:00 p.m.) 2) Location: Room for quiz session 3) Procedure: Rule 1: Students cannot bring their own writing tools into the room. (Use a pen only provided by TA) Rule 2: With or without claim, you must submit the paper back to TA. (Do not go out of the room with it) If you have any claims on it, you can submit the claim paper with your opinion. After writing your opinions on the claim form, attach it to your mid-term paper with a stapler. Give them to TA. (The claim is permitted only on the period. Keep that in mind! A solution file with answers for the examination will be uploaded on 4/27 on the web.) 2. Final Confirmation 1) Period: May 1 (Thu) – 2 (Fri) 2) Procedure: During this period, you can check final score of the examination on the website again. ** For further information, please visit General Chemistry website at www.gencheminkaist.pe.kr. 1 1. (total 8 pts) Which atom or ion in each pair has the smaller radius? Describe the reason briefly. (a) Li, Li+ (Answer) (b) F, F(Answer) (c) O2-, F(Answer) (d) Na+, Mg2+ (Answer) 2 2. (total 8 pts) (a) Three Lewis diagrams for the anion of ‘Angeli’s salt’ (Na 2 N 2 O 3 ) are shown below. Rewrite the diagrams with formal charges on all atoms and explain briefly which one best represents the bonding in this anion. .. :O .. .. .. .. N N .. O: .. A O: .. .. :O .. O .. : .. .. N N B O .. : .. .. :O .. O .. : .. N N C .. O .. : (Answer) (b) Draw one Lewis structure for each of the oxygen-containing anions in KO 2 and BaO 2 . Name the anions. 3 3. (total 8 pts) Photons of wavelength 315 nm or less are needed to eject electrons from a surface of electrically neutral cadmium. (a) What is the energy barrier that electrons must overcome to leave an uncharged piece of cadmium? (Answer) (b) What is the maximum kinetic energy of electrons ejected from a piece of cadmium by photons of wavelength 200 nm? (Answer) (c) Suppose the electrons described in (b) were used in a diffraction experiment. What would be their wavelength? (Answer) 4. (total 6 pts) When metallic sodium is dissolved in liquid sodium chloride, electrons are released into the liquid. These dissolved electrons absorb light with a wavelength near 800 nm. Suppose we treat the positive ions surrounding an electron crudely as defining a three-dimensional cubic box of edge L, and we assume that the absorbed light excites the electron from its ground state to the first excited state. Calculate the edge length L in this simple model. (Answer) 4 5. (total 8 pts) Here is a wave function of one-electron atoms ψnlm (𝜎, θ, ϕ) = 4 3 𝑍 2 � � (6𝜎 81√6 𝑎0 −𝜎 𝜎 2 )𝑒 − 3 3 1 2 ∙ � � 𝑠𝑖𝑛𝜃 𝑐𝑜𝑠∅ 4𝜋 𝜎= 𝑍 𝑎0 𝑟 (a) Assuming that domains of 𝜎, θ, ϕ are all real numbers, Find all roots of the ψnlm . (Answer) (b) What is the boundary condition of the ψnlm ? (Answer) (c) How many angular and radial nodes does the ψnlm have? R (Answer) (d) Which orbital does the ψnlm represent? (Answer) 5 6. (total 12 pts) Consider the one-electron species H and He+ in their ground state. (a) Compute the ionization energy for each. (Answer) (b) Compute the longest wavelength in the Lyman series for each. (Answer) (c) Without attempting a detailed calculation, estimate the first ionization energy for a ground-state helium atom. Determine the lowest and highest values possible. (Answer) (d) Predict a ground-state configuration and bond order for He 2 +. Is the ion paramagnetic? (Answer) 6 7. (total 12 pts) Write out electron configurations at the ground states and give the number of unpaired electrons in the following species. (Simplify the answers using noble gas configurations.) (a) O(Answer) (b) Sc (Answer) (c) Ni2+ (Answer) (d) Se (Answer) (e) Sm (Answer) (f) Bi3+ (Answer) 7 8. (total 8 pts) (a) Explain why the energy difference between the ground state and first excited state (1s2 2s02p1) of the Li atom is 2.96 x 10-19 J, whereas for the Li2+ ion, the difference is less than 0.00002 of this value. (Answer) (b) The first ionization energy of helium is 2370 kJ mol-1, the highest for any element. Explain briefly which element of the periodic table you would expect to have the highest 2nd ionization energy. (Answer) (c) Calculate the maximum wavelength of electromagnetic radiation that could be used to ionize a helium atom. (Answer) 8 9. (total 14 pts) (a) Draw an energy correlation diagram for the molecular orbitals of the valence electrons in CN. Label the atomic and molecular orbitals, including the x, y and z designations where appropriate. The relative ordering of the energies of the states must be correct. (Answer) (b) Determine the bond order of the cyanide molecule, CN, and the cyanide ion, CN-. (Answer) (c) Below is an energy diagram of the CN covalent bond in a neutral CN molecule. On the same graph, plot the energy vs. internuclear distance, r, of the CN covalent bond in a CN- ion. Indicate the equilibrium bond distances with arrows. The relative values of the bond distances and energies must be correct, but no numbers are needed. (Answer) 9 10. (total 8 pts) (a) Sketch the Lewis dot diagram and name the molecular geometry of carbon dioxide, CO 2 , based on the VSEPR theory. Use the VB theory to predict the hybridization of atomic orbitals of the central atom. (Answer) (b) How many valence electrons does CO 2 have? How many electrons are used to build σ bond(s)? (Answer) (c) Sketch correlation diagram for π-electrons of CO 2 . Provide the orbital designation(s) of each MO and AO (e.g. σ, σ*, so on). You don’t need to use g nor u. (Answer) 10 11. (total 8 pts) Use the Valence Bond (VB) theory to sketch the molecule ketene (CH 2 =C=O), showing hybridization modes of C, types of sigma (σ) bonds, and pi (π) bonds formation. (Answer) 11 12 13 Claim Form for General Chemistry Examination Class: , Professor Name: , Student I.D.#: Page ( / ) , Name: If you have any claims on the marked paper, please write down them on this form and submit this with your paper in the assigned place. (And this form should be attached on the top of the marked paper with a stapler.) Please, copy this sheet if you need more before use. By Student Question # By TA Accepted? Claims Yes: □ Pts (+/-) Yes( √) or No( √) No: □ Reasons 14 <The Answers> Problem points Problem 1 2 2+2+2+2/8 TOTAL pts points 5+3/8 7 8 3+2+3/8 3 2+3+3/8 9 6+2+6/14 4 6/6 10 3+1+4/8 5 2+2+2+2/8 11 8/8 6 3+3+3+3/12 2x6/12 /100 단순히 계산이 틀리거나 unit 이 맞지 않지만 내용이 모두 맞았을 때 – 1 pt 1. (total 8 pts; 2 pts for each set) 답 1 pt, 이유 1 pt (a) Simply an atom and cation. Li is smaller than Li (b) Atom and anion. F is smaller than F (c) each with eight valence electrons in the closed-shell neon configuration 2s 2 . The oxygen nucleus has 8 protons, whereas the fluorine nucleus has 9. The fluroride ion has the smaller radius. (d) The magnesium nucleus, with one more proton than sodium, exerts the stronger pull. Mg is smaller than Na 2. (total 8 pts) (a) (5 pts) A, B, C each 1 pt + the reason 2 pts .. 0 0 0 .. .. .. .. :O N N .. O : -1 .. A O : -1 .. O : -1 -1 -1 .. .. +1 .. :O .. N.. N O .. : 0 B .. -1.. :O .. 0.. +1 O .. : -1 N .. O .. : -1 N C Lewis diagram A best represents the bonding in the anion because it has the highest number of zero formal charges (or the lowest number of non-zero formal charges). (b) (3 pts) Each diagram 1 pt; two names 1 pt In KO2 . :O .. .. -1 O .. : superoxide 3. (total 8 pts) (a) (2 pts) (b) (3 pts) (c) (3 pts) In BaO2 -1 : . . O .. .. -1 O .. : peroxide 4. (total 6 pts) Wrong Quantum numbers used -2 pts 5. (total 8 pts) Each 2 pts (a) = 6 or 0 , (b) ; ; (c) Angular node : 1 ; Radial node : 1 (d) 3p x or (n, l, m) = (3, 1, -1) 6. (total 12 pts) (a) (3 pts) To ionize atom, we must supply energy to promote the electron from n=1 to n=∞ (b) (3 pts) Longest in wavelength is the transition from n i =2 to n f =1, for which (c) (3 pts) I 1 = E ∞ - E 1 = R Lower limit : Each 1s electron screens the other completely Zeff = 2 - 1 = +1 Upper limit : There is no screen at all. Each electron interacts with the full nuclear charge so as to make Z eff = 2 ∴ Heliums' first ionization thus falls between R (1312 kJ/mol) and 4R (5248 kJ/mol) (d) (3 pts) each 1 pt σ 1s * ↑ σ 1s ⇅ 7. (total 12 pts) 2 pts for each element (a) [He] 2s2 2p5, 1 unpaired e(b) [Ar] 3d1 4s2, 1 unpaired e(c) [Ar] 3d8, 2 unpaired e- (d) [Ar] 3d10 4s2 4p4, 2 unpaired e(e) [Xe] 6s2 4f6, 6 unpaired e(f) [Xe] 6s2 4f14 5d10, 0 unpaired e- 8. (total 8 pts) 답만 쓰면 -1 pt (a) (3 pts) The ground state of Li is 1s22s1, so the excited state is obtained by a 2s →2p promotion, the two subshells of n = 2, being of different energies (2p > 2s) for the multiple electron Li atom. The Li2+ cation is a single electron system, so that the energy only depends on n, which means energies 2p ≅ 2s. (b) (2 pts) Li, because second ionization requires breaking the 1s2 shell. (c) (3 pts) IE1 = λ = hc λ (6.626 x 10-34 Js)(2.998 x 108 m s-1)(6.022 x 1023 mol-1) (2370000 J mol-1) = 5.048 x 10-8 m or 50.48 nm (3 points) 9. (total 14 pts) (a) (6 pts) Orbital energy (특히 pi(2px,2py) 와 sigma(2pz)) 틀리면 기본 -3 pts Electron 채우기 틀리면 – 2 pt N 이 에너지 높거나 같으면 -1 pt (b) (2 pts) BO of CN : - BO of CN : ½(7-2) = 2.5 ½(8-2) = 3 (c) (6 pts) Distance 짧을 것 3 pts, more negative maximum 2 pts, arrow 1 pt 10. (total 8 pts) (a) (3 pts) 구조, 이름, hybrid 각 1 pt Linear O C O sp hybridization (b) (1 pt) Valence electrons: 16 electrons (C: 4 + O: 6 *2) σ electrons: 4 electrons (2 σ bonds) (c) (4 pts) MO energy level 2 pts, 전자 채우기 1 pt, AO/MO names 1 pt MO 틀렸을 때 0 pt Energy pi* 2px 2py pi nb 2px 2py 2px pi C atom CO2 two O atoms 2py 11. (total 8 pts) hybridization modes of C 2 pts sigma 2 pts pi 2 pts 양쪽 atom 에 결합하는 center C 의 p가 각각 px, py 여서 수직일 것 2 pts 2014 SPRING Semester Final Examination For General Chemistry I Date: June 18 (Wed), Time Limit: 19:00 ~ 21:00 Write down your information neatly in the space provided below; print your Student ID in the upper right corner of every page. Professor Name Class Problem points Student I.D. Number Problem 1 2 /12 Name TOTAL pts points /6 /8 7 8 3 /12 9 /15 4 /9 10 /6 5 /6 11 /6 6 /11 /9 /100 ** This paper consists of 15 sheets with 11 problems (page 13 & 14: constants & periodic table, page 15: claim form). Please check all page numbers before taking the exam. Write down your work and answers in the Answer sheet. Please write down the unit of your answer when applicable. You will get 30% deduction for a missing unit. NOTICE: SCHEDULES on RETURN and CLAIM of the MARKED EXAM PAPER. 1. Period, Location and Procedure 1) Return and Claim Period: June 20 (Friday, 12:00-14:00) 2) Location: Creative Learning Bldg.(E11) 3) Class Room Class Class Class Room A 205 D 208 G 211 B 206 E 209 C 207 F 210 Claim Procedure: Rule 1: Students cannot bring their own writing tools into the room. (Use a pen only provided by TA) Rule 2: With or without claim, you must submit the paper back to TA. (Do not go out of the room with it) (During the period, you can check the marked exam paper from your TA and should hand in the paper with a FORM for claims if you have any claims on it. The claim is permitted only on the period. Keep that in mind! A solution file with answers for the examination will be uploaded on 6/23 on the web.) 2. Final Confirmation 1) Period: June 23(Mon) – 24(Tue) 2) Procedure: During this period, you can check the final score of the examination on the website again. To get more information, visit the website at www.gencheminkaist.pe.kr. 1 1. (12 points) (a) Draw 8 possible structural isomers of C 3 H 6 O. (Answer) (b) Write structural formulas and name all the alkenes with a molecular formula C 4 H 8 . (Answer) 2 2. (8 points) Answer the following questions for oxytocin. (a) Number of the amide functional group? (Answer) (b) Number of the amino acids? (Answer) (c) Number of stereogenic centers? (Answer) (d) What is the molecular formula of oxytocin? (Answer) 3 3. (12 points) (a) The complex ion CoCl 4 2- has a tetrahedral structure. How many d electrons are on the Co? What is its electronic configuration by considering d-d splitting? Why is the tetrahedral structure stable in this case? (Answer) (b) Sketch the structure(s) of all the distinct isomers of the octahedral complex cation, [Fe(en) 2 Cl 2 ]+ (en = ethylenediamine). What kind of isomerism, if any, are possible in the compound? (Answer) 4 4. (9 points) (a) Explain briefly why the [Zn(H 2 O) 6 ]2+ ion is colorless, whereas the [PtI 6 ]2- ion is black. (Answer) (b) When water ligands in Ti(H 2 O) 6 3+ are replaced by CN- ligands to give Ti(CN) 6 3-, the maximum absorption shifts from 500 nm to 450 nm. Is this shift in the expected direction? Explain. (Answer) 5 5. (6 points) The ‘escape velocity’ necessary for objects to leave the gravitational field of Earth is 11.2 km s-1, and the temperature of the thermosphere is 2000 K. (a) Calculate the root-mean-square speed of helium, argon, xenon at 2000 K with the unit of km s-1. (Answer) (b) Calculate the ratio of the escape velocity to the root-mean-square speed of helium, argon, xenon at 2000 K with the unit of %. (Answer) (c) Does your result help explaining the low abundance of the light gas helium in the atmosphere? (Answer) 6 6. (11 points) (a) A 10.0 L tank containing 25 mol of oxygen is stored in a diving supply shop in the Bahamas at 25 oC. Use the van der Waals equation to estimate the pressure in the tank. Show working. (Van der Waals constant a = 1.360 atm L2 mol-2, b = 0.03183 L mol-1) (Answer) (b) Estimate the pressure using the ideal gas equation, and comment on the two results. (Answer) (c) Obtain Boyle temperature (T b ) of the gas using the van der Waals equation. Note that Z = 1 at T b . (Answer) 7 7. (6 points) What intermolecular force plays the dominant role in the following molecular pairs? (a) sodium ion in water (Answer) (b) methanol – water (Answer) (c) methanol – chloroform (Answer) (d) chloride ion in hexane (Answer) (e) acetone in hexane (Answer) (f) octane in hexane (Answer) 8 8. (9 points) (a) Calculate the mass of oxalic acid dihydrate [(COOH) 2 ∙2H 2 O] needed to make 100.0 mL of a 0.0500 M solution. Show working. (Answer) (b) Determine the balanced net ionic redox equation for the reaction between oxalic acid and permanganate ion in acidic solution, if the unbalance equation is 2CO 2 + (COOH) 2 + MnO 4 - → Mn2+. (Answer) (c) If 25.75 mL of the oxalic solution in (a) was found to be equivalent to 25.00 mL of an acidified KMnO 4 solution, determine the molarity of the KMnO 4 solution. Show working. (Answer) 9 9. (15 points) Benzene and toluene form an ideal solution. Mixture of benzene and toluene was placed in the isolated container (10 L) at 30 oC. Assume that enough time was passed for the system to reach the equilibrium between solution and vapor. Vapor pressure of pure benzene and toluene at 30 oC is P A 0 and P B 0, respectively, and mole fraction of benzene is X A 0. (a) Calculate the total vapor pressure of the solution (Answer) (b) Calculate the mole fraction of benzene in the vapor (Answer) (c) Suppose some of this vapor of benzene and toluene is removed and condensed to become liquid. (Solution 1) Calculate the mole fraction (X A 1) of benzene in the Solution 1. (Answer) 10 (d) If this procedure is repeated for n times to yield Solution n, derive the relationship between mole fractions of Solution n (X A n) and Solution n-1 (X A n-1) of benzene (Answer) (e) What will be the final product if this process is repeated infinitely? Assume that P A 0 is larger than P B 0. Explain with the pressure versus mole fraction diagram. (Answer) 11 10. (6 points) Silver dissolves in molten lead. Compute the osmotic pressure of a 0.010 M solution of silver in lead at 423 oC. Compute the height of a column of molten lead (ρ = 11.4 g cm-3) to which this pressure corresponds. (Answer) 11. (6 points) There are a few methods to break azeotropes by distillation. (a) It is possible to break the water/ethanol azeotrope by dissolving potassium acetate. Explain (Answer) (b) It is possible to break the acetone/chloroform azeotrope by adding water. Explain (Answer) 12 13 14 Claim Form for General Chemistry Examination Class: , Professor Name: , I.D.# : Page ( / ) , Name: If you have any claims on the marked paper, please write down them on this form and submit this with your paper in the assigned place. (And this form should be attached on the top of the marked paper with a stapler.) Please, copy this sheet if you need more before use. By Student Question # Claims Accepted? Yes: □ Pts (+/-) By TA Yes(√) or No(√) No: □ Reasons 15 <The Answers> Problem 1 2 points Problem TOTAL pts points 2+2+2+2 /8 7 8 3+3+3 /9 3 6+6 /12 9 3x5 /15 4 6+3 /9 10 /6 5 3+1+2 /6 11 3+3 /6 6 4+4+3 /11 4+8 /12 Missing units in the answer: -1 pt “-1 pt” means “minus 1 point” 1x6 /6 /100 1. (total 12 points) (a) (4 points) 2 isomers, 1 pt; 4 isomers, 2 pts; 6 isomers, 3 pts; 8 isomers, 4 pts H CH3 C C H OH H CH3 C HO C H (b) (8 points) 1 pt for each structure, 1 pt for each name Only 2-butene without cis- nor trans-, 0 pt out of 4 pts H3C CH3 C C H H H2C CH ci s-2-butene CH2CH3 1-butene H3C H2C H C H CH3 C CH3 t rans-2-butene C CH3 2-methylpropene (or 2-methyl-1-propene) (or isobutene) (4 points f or structures + 4 points f or names) (allow f or diff erent correct styles of structural f ormulas) 2. (total 8 points) no partial points. (a) (2 points) Number of amide functional group? 11 (b) (2 points) Number of amino acids? 9 (c) (2 points) Number of stereogenic centers? 9 (d) (2 points) Molecular Formula? C 43 H 66 N 12 O 12 S 2 3. (total 12 points) (a) (6 points) d electrons, 1 pt; electronic configuration, 2 pts; the reason (CFSE), 3 pts Co2+ has 7 d electrons with e4 t 2 3 configuration. t2 e The e4t 2 3 configuration of Co2+ has a high crystal field stabilization energy (CFSE) of -6/5∆ o , and thus the tetrahedral structure is very stable. (b) (6 points) 1 pt for trans, 1 pt for cis, 2 pts for enantiomeric pair, and 2 pts for the kind of isomerism Cl NH2 NH2 NH2 Fe NH2 NH2 NH2 Cl t rans trans and cis: geometrical isomers cis enantiomers: optical isomers NH2 NH2 NH2 Fe Cl Cl NH2 NH2 Cl Fe Cl ci s ( enanti omer i c pai r ) NH2 4. (total 9 points) (a) (6 points) The configuration of Zn2+ is [Ar]3d10 [ ≡ (t 2g )6(e g )4)]. The filled 3d subshell means electronic transition energies will be high – outside the visible region, hence Zn2+ does not absorb in the visible region. (3 pts) [PtI 6 ]2- must absorb in the short (blue), medium (green) and long (red) wavelength range in the visible part of the electromagnetic spectrum and thus appears black. (3 pts) (b) (3 points) According to the spectrochemical series, CN- is a more strongly bonding ligand than H 2 O. Consequently, crystal field splitting, ∆ should increase, and the wavelength of the absorption (λ = hc / ∆ ) should decrease. Thus, the shift of the absorption is in the expected direction. 5. (total 6 points) (a) (3 points) answers 1 pt x 3 T = 2000 K, R = 8.3145 J K-1 mol-1 Helium = 3.53 km s-1 Argon = 1.12 km s-1 Xenon = 0.62 km s-1 (b) (1 point) The ratio of helium = 31.5 % The ratio of argon = 10.0 % The ratio of xenon = 5.5 % (c) (2 points) only Yes, 1 pt; “fraction or ratio” must be included, 1 pt Yes, the fraction (or ratio) of the speed exceeding the escape velocity (31.5%) is larger in helium, which makes low abundancy of the helium in the atmosphere. 6. (total 11 points) (a) (4 points) From P = nRT/(V - nb) -an2/V2, -1 -1 (25 mol) x (0.08206 L atm K mol ) x (298 K) P= 10.0 L _ (25 mol) x (0.03183 L mol-1) _ 1.360 L2 atm mol-2 x ( ) 2 (25 mol) 2 (10.0 L) = 58 atm (b) (4 points) calculation 2 pts; comment 2 pts From PV = nRT P = (25 mol) x (0.08206 L atm K-1 mol-1) x (298 K) (10.0 L) = 61 atm (2 pts) The ideal gas equation overestimates the pressure, because it ignores intermolecular forces. However, the difference is quite small (~5%), since under these conditions of temperature and pressure, the deviation of oxygen from ideal gas behavior is not large. (2 pts) (c) (3 points) T b = a/Rb = 1.360/(0.08206 x 0.03183) = 520.7 K 7. (total 6 points) (a) (1 point) ion-dipole (b) (1 point) hydrogen bonding (c) (1 point) dipole-dipole (d) (1 point) ion-induced dipole (e) (1 point) dipole-induced dipole (f) (1 point) induced dipole-induced dipole (London dispersion force) 8. (9 points) (a) (3 points) Molar mass of (COOH)2.2H2O is 126.06 g/mol 100.0 mL of a 0.0500 M solution require 100.0 mL 126.06 g/mol x 0.0500 mol/L x 1000 mL/L = 0.630 g (b) (3 points) _ 5(COOH)2 + 2MnO4 + 6H+ _ 10 CO2 + 2Mn2+ + 8H2O or 5(COOH)2 + 2MnO4 + 6H3O+ 10 CO2 + 2Mn2+ + 14H2O (c) (3 points) M(per)V(per) n(per) = M(ox)V(ox) n(ox) ( n(ox) = 5; n(per) = 2) 2 x 0.0500 mol/L x 25.75 mL M(per) = 5 x 25.00 mL = 0.0206 M 9. (total 15 points) (a) (3 points) (b) (3 points) (c) (3 points) Since the vapor was directly condensed, mole fraction of each compound does not change. (Same as the answer of (b)) (d) (3 points) (e) (3 points) Theoretically, we can get pure benzene. 10. (total 6 points) osmotic pressure 3 pts; height 3 pts 11. (total 6 points) (a) (3 points) Potassium acetate dissolve better in water than in ethanol. It will lower vapor pressure of water but not of ethanol. Therefore, ethanol can be further separated from the water/ethanol azeotrope. (b) (3 points) Water makes a separate layer from acetone/chloroform. Some of the acetone from the azeotrope mixture layer is extracted to the water layer, which breaks the acetone/chloroform ratio in the azeotrope mixture.