Chemistry I Final Exam Review Key

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Chemistry I Final Exam Review John M. Van Wazer Dr. Tina Huang Merit FQF December 7, 2023 —1— Contents Exam I 2 i. Significant Figures ii. Dimensional Analysis 3 iii. Isotopes 4 iv. Light Energy 5 Exam II 6 i. Quantum Numbers ii. Polarity & Atomic Radii 7 iii. Electron Configuration 9 iv. Compound Nomenclature 10 v. Lewis Structure & VSEPR Theory 11 Exam III 13 i. Hybridization ii. Stoichiometry 17 iii. Electrolytes 19 iv. Intermolecular Forces 21 v. Dilutions 22 Exam IV 23 i. Solubility & Acid-Base Reactions ii. Gases, Gas Kinetics, & Diffusion & Effusion 24 iii. Thermodynamics 27 iv. Hess’s Law 30 Exam V 31 i. Heating Curve ii. Equilibrium 33 iii. Heat of Formation 35 iv. Bond Energies 36 Challenge Questions 37
Chemistry I Final Exam Review —2— Exam I Significant Figures, Dimensional Analysis, Isotopes, & Light Energy Significant Figures Rules: Addition & subtraction: Your significant answer will contain the same number of decimal places as the value with the least number of decimal places from your problem. Multiplication & division: Your significant answer will contain the same number of sig. figs. as the value with the least number of sig. figs. from your problem. These rules still apply to computations where PEMDAS is necessary, however, you want to keep all integers within your computation, then go through the problem again, and apply the sig. fig. rules to determine the correct number of sig. figs. in your final answer. 1. Compute the problems below. If x is a variable in the equation, solve for it. a. ((23.56 + 42.001)(2.34))/1.965 = b. (5423 x /100.)(12) + 4 = 56 c. (11.2 – 4.06)(5.632)(0.200)(20.)(20) = d. x /40 = 233
Chemistry I Final Exam Review —3— Dimensional Analysis Conversion factors have an infinite number of significant figures; only numbers from measurements will carry the sig. figs. 1. Convert 6.0 years into nanoseconds (ns). {1 month = 28 days}. Remember to carry your sig. figs. and round at the end of your computation. 2. A car has two axles. Each axle has two wheels, one on either end. Hypothetically, how many cars can be built if there are only 67 wheels available? 3. Assume a car gets 32.0 miles per gallon when burning regular gasoline at a cost of $3.65 per gallon. A novel fuel known as 2-methylhexane (2Mh), has been synthesized that allows this same car to get 38.2 miles per gallon. The cost of 2Mh is $3.82 per gallon. How much will it cost to run this car for 300. miles? 4. If the density ( ! ) of 24 karat gold is 19.32 kilograms per liter at 23°C. What is the volume in inches of a 21.2 milligram block of gold?
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Chemistry I Final Exam Review —4— Isotopes Symbol: " ! " {A = mass number = protons + neutrons, Z = atomic number = protons} 1. For the species below, write their atomic symbol ( " ! " ) given the number of protons, neutrons, and electrons (P, N, e - ) a. (P, N, e - ) = (16, 18, 18) b. (P, N, e - ) = (1,0,1) c. (P, N, e - ) = (1,1,1) d. (P, N, e - ) = (1,2,1) e. (P, N, e - ) = (22, 26, 22) f. (P, N, e - ) = (19, 21, 18) 2. From the above species, which three are isotopes? 3. Write the atomic symbol for a fluoride ion.
Chemistry I Final Exam Review —5— Light Energy N A = 6.022E23 c = 2.998E8 ms -1 h = 6.626E-34 Js E = h ν c = λν E = h(c λ -1 ) dE = -2.178E-18 J ((n 2 f ) -1 – (n 2 i ) -1 ) λ = h(mv) -1 E = 0.5mv 2 1. What is the frequency ( ν ) in inverse seconds (s -1 ) of each option below: a. Blue light b. Light radiation with λ = 8242 c. 88.9 MHz d. 550 nm radiation 2. What is the change in energy for an electron transitioning from n = 6 to n = 3? a. What color of light would this produce? 3. What color of light is observed by a proton traveling at a velocity of 0.566 ms -1 ? 4. What is the velocity of an electron with an energy of 9.576E-19 J?
Chemistry I Final Exam Review —6— Exam II Quantum Numbers, Polarity & Atomic Radii, Electron Configuration, Compound Nomenclature, Lewis Structure, & VSEPR Theory Quantum Numbers Pattern n 1 2 3 l 0 s 0 s 1 p 0 s 1 p 2 d m l 0 0, -1.0.1 0, -1.0.1, -2.-1.0.1.2 m s ↑↓ ↑↓ , ↑↓ . ↑↓ . ↑↓ ↑↓ , ↑↓ . ↑↓ . ↑↓ , ↑↓ . ↑↓ . ↑↓ . ↑↓ . ↑↓ n = principal number, describes size/energy l = angular momentum number; codes for the subshell/shape (s, p, d, or f) = (0, 1, 2, or 3) m l = magnetic number; orbital/orientation, two e - per orbital: Pauli’s Exclusion Principal m s = magnetic spin number, denoted as ( ) for one e - with spin +0.5, another e - ( ) in the same orbital (m l ) has spin -0.5 1. If n = 2, what is the maximum number of e - available? a. How many total orbitals/orientations are there? b. When l = 1, how many e - are spinning at -0.5? 2. If n = 4, what is the largest l value? a. What subshell does this largest value denote? b. How many +2 m l values are there? c. How many |1| m l values are there? 3. If l = 1, what is the lowest n value? a. What is the highest n value for Xenon? b. How many e - does carbon have in its p subshell? 4. If n = 3 and l = 2 : a. How many orientations are there? b. How many +0.5 electrons are there?
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Chemistry I Final Exam Review —7— Polarity, Ionization Energy, Electronegativity, & Atomic Radii Ionization energy is the energy required to remove one electron; fifth ionization energy = energy to remove the fifth highest electron. Z eff = Z – C e- Z eff = (protons – core e - ) Z eff radii -1 Core Electrons: Electrons that the atom has with the previous noble gas and any completed transition series. P [Ne]3s 2 3p 3 10 core e - Mn [Ar]4s 2 3d 5 18 core e - Te [Kr]5s 2 4d 10 5p 4 46 core e - Valence Electrons: Electrons that occupy the highest n energy level, for transition elements, they include any (n – 1)d electrons as well. P [Ne]3s 2 3p 3 5 ve - Mn [Ar]4s 2 3d 5 7 ve - Te [Kr]5s 2 4d 10 5p 4 6 ve - Electronegativity table:
Chemistry I Final Exam Review —8— 1. Which ionization energy for Barium would be the greatest? 2. What is the Δ EN for an O—H bond? a. Draw the structure for dihydrogen monoxide and state the net polar vector. 3. What is the Δ EN for an N—H bond? a. Draw the structure of ammonia and state the net polar vector. 4. What is the Δ EN for a F—C bond? 5. Which atomic radii is larger, C or Na? 6. Which atomic radii is larger, Cl or Ca? 7. Which atomic radii is larger, Cl - or Ca 2+ ? 8. The anionic form of Chlorine and the cationic form of Magnesium are isoelectric. T or F 9. K is larger than K + . T or F 10. F is larger than F - . T or F 11. What is the Z eff for I - ? 12. I - is larger than Cs + . T or F 13. Which element is Ca 2+ isoelectric with?
Chemistry I Final Exam Review —9— Electron Configuration 1. Write the full electron config. for Gallium a. Write the condensed electron config. b. How many ve - are available? c. How many core e - are there? 2. Write the full electron config. for Copper and Chromium a. Write their condensed configs. b. How many ve - are available for each? c. How many core e - are there for each? 3. Write the full electron config, for Indium a. Write the condensed config. b. What is the highest principal quantum number? c. How many e - are in l = 2 ?
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Chemistry I Final Exam Review —10— Compound Nomenclature Magnesium Sulfite MgSO 4 Potassium hydrogen sulfate Calcium hydrogen phosphate LiH 2 PO 4 Calcium carbonate Aluminum hydrogen carbonate Nickle oxalate Cobalt(II) chlorate CsOCl NaClO 2 Sodium thiosulfate AgCN Ti 3 (PO 4 ) 2 Titanium(IV) sulfate SnCl 4 Gallium phosphate Zinc acetate AgPF 6 This one is tricky ! Lead(IV) sulfide Arsenic mononitride Rb 2 O HgCl 2 Dihydrogen monoxide Zinc bromide Platinum(II) fluoride Pt(CH 3 COO) 2 NaCl Manganese(II) phosphate Co(CN) 2 Ammonium oxide Potassium perchlorate FePO 4 MgCr 2 O 7 Sodium chromate Carbon dioxide H 2 O 2 KF SnO 2 Lead(II) nitrate Ca(SCN) 2 Gold(III) chloride Potassium permanganate NaNO 2
Chemistry I Final Exam Review —11— Lewis Structure, Resonance, & VSEPR Geometry = electron geometry—what the shape is if you include all lone pairs and bonds. Shape = molecular geometry—what the shape is if you exclude lone pairs and only look at bonds Electron groups: The bonds and lone pairs associated with a specific atom. Single, double, and triple bonds are one electron group , lone pairs are one as well.
Chemistry I Final Exam Review —12— 1. Draw the Lewis structure, then give the geometry, shape, and polarity (polar (P) or nonpolar (NP)) for each of the following species. If the compound is charged, write the resonance structures for it as well: Glycine is a tricky one—it is a general Lewis structure for a non-metallic (organic) compound—it will come up soon in lecture (not necessary for exam II)! AsBr 3 PI 3 Angles: N 2 gas Angles: SiCl 4 Angles: HNO Angles: AsN FCN Angles: H 2 NCH 2 COOH (glycine) IBr 2 + ClO 2 - Angles: SO 4 2- Angles: NO 3 - Angles:
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Chemistry I Final Exam Review —13— Exam III Hybridization, Stoichiometry, Electrolytes, Intermolecular Forces, & Dilutions Hybridization, Sigma ( σ ) & Pi ( π ) Bonds, & Lone Pairs Sigma bond ( σ -bond) : One hybridized bond between two atoms. Pi bond ( π -bond) : A bond between two atoms with at least one unhybridized p-orbital; a double bond has one pi-bond, a triple bond has two pi-bonds. 1. Adenine is one of four main nucleotides present in DNA, add all π -bonds and lone pairs to complete its structure. “R” is how organic chemists refer to the “Rest of the molecule”; where “R”, in this case, is the ribose sugar and phosphate backbone, giving DNA the extended name of deoxyribose nucleic acid. Line Structure Lewis Structure a. How many π -bonds and lone pairs are in adenine? b. What is the hybridization of each nitrogen atom (Note: two amines are different from all the rest)? Write your answer directly on each respective atom within either structure. c. How many electron groups are in adenine, include the N—R bond. N N N N NH 2 R C C N C N C N C N N R = H H H H
Chemistry I Final Exam Review —14— C C C C C C H H H H H H = H 2 N O OH OH = H H H 2. Benzene is an aromatic compound and has three pi-bonds. These bonds can interact with a base pair such as adenine to intercalate with DNA, causing errors in replication and potentially mutations that confer cancer. Draw all π -bonds for both structures below: Line Structure Lewis Structure 3. Serine is a nonessential common amino acid found in the human body and can be obtained from the diet. An incomplete line structure for Serine is given below. Draw the Lewis structure with all π -bonds and lone pairs for Serine. Line Structure Lewis Structure a. How many π -bonds, σ -bonds, and lone pairs are in serine? b. What is the hybridization of each atom?
Chemistry I Final Exam Review —15— 4. Cyanoacrylate is the main compound in super glue. The incomplete line and Lewis structures for Cyanoacrylate are given below. Add the π -bonds and lone pairs to both structures. Line Structure Lewis Structure a. How many π - and σ -bonds, and lone pairs are in Cyanoacrylate? b. What is the hybridization for the O a atom. Draw its unhybridized, and hybridized electron diagrams below: O a c. What is the hybridization for the O b atom. Draw its unhybridized, and hybridized electron diagrams below: O b C e O b N d C c H 2 O a C C N d C c H H C e O b O a C C H H H H H = s 0 s p -1 p 0 p +1 p relative energy (e) hybridization/bonding relative energy (e) s 0 s p -1 p 0 p +1 p relative energy (e) hybridization/bonding relative energy (e)
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Chemistry I Final Exam Review —16— d. What is the hybridization for the C c atom. Draw its unhybridized, and hybridized electron diagrams below: C c e. What is the hybridization for the N d atom. Draw its unhybridized, and hybridized electron diagrams below: N d f. What is the hybridization for the C e atom. Draw its unhybridized, and hybridized electron diagrams below: C e s 0 s p -1 p 0 p +1 p relative energy (e) hybridization/bonding relative energy (e) s 0 s p -1 p 0 p +1 p relative energy (e) hybridization/bonding relative energy (e) s 0 s p -1 p 0 p +1 p relative energy (e) hybridization/bonding relative energy (e)
Chemistry I Final Exam Review —17— Stoichiometry, Limiting Reactant, Empirical & Molecular Formula, Percent Mass, Molarity, & Balancing Combustion Reaction 1. An isothermal titration calorimeter (ITC) is an instrument used to measure the heat that is released when two species are mixed. A standard bomb calorimeter is used to measure the heat released for combustion reactions under constant volume (dV = zero). 700 milligrams (mg) of the organic compound 9-hydroxyanthracene are combusted with two grams of pure oxygen gas and produces gaseous water and carbon dioxide. Complete and balance the combustion reaction below : a. What is the limiting reactant? b. How many grams (g) of water and carbon dioxide can be theoretically produced? c. If only 297 mg of water was produced, what is the percent yield? d. If you had 100 g of 9-hydroxyanthracene, what is the percent mass for the following elements: Carbon: Hydrogen: Oxygen: C 14 H 10 O OH + Δ spark (s) +
Chemistry I Final Exam Review —18— 2. Reactant X contains some amount of carbon, hydrogen, oxygen, and nitrogen. Analysis with 3.50 g of X suggests that it adequately reacted with oxygen gas and produced 1.68 g of carbon dioxide and 0.98 g of water. Later, it was determined that the percent nitrogen was 18%. What is the empirical formula for reactant X? 3. How many micromoles ( μ M = μ mol L -1 ) for 72 micrograms ( μ g) of ethanol (CH 3 CH 2 OH) in 4 milliliters (mL) of water. 4. What is the molarity of the Cl - ion when you add 50. mL of 0.50 M NaCl to 100. mL of 1.50 M KCl?
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Chemistry I Final Exam Review —19— Electrolytes, Balancing Ionic Equations, Salts & Solubility Strong electrolyte: Strong acids and bases , and salts (especially group IA cations ) Weak electrolytes: Weak acids and bases Non-electrolytes: Organic compounds 1. Tetrakis(acetonitrile)copper(I) hexafluorophosphate or Cu(CH 3 CN) 4 PF 6 dissociates in the reaction below: a. How many moles of PF 6 - ions would be in a 300. mL solution of 0.25 M Cu(CH 3 CN) 4 PF 6 ? 2. Copper(I) sulfate dissociate as shown in the dissociation reaction below: a. How many moles of Cu + ions would be in a 500. mL solution of 0.50 M Cu 2 SO 4 ? 3. Complete and balance the following precipitation reactions. Write the ionic equation, circle the spectator ions, and include the net ionic equation. a. b. Cu(MeCN) 4 PF 6 (s) Cu(MeCN) 4 + (aq) + PF 6 - (aq) Cu 2 SO 4 (s) 2 Cu + (aq) + SO 4 - (aq) Na 2 S (aq) + NiSO 4(aq) Al(NO 3 ) 3(aq) + Na 3 PO 4(aq)
Chemistry I Final Exam Review —20— 4. Determine if the following species are strong (S), weak (W), or non (N)-electrolytes: a. NaCl b. KOH c. Acetic acid = vinegar (CH 3 COOH) d. Acetone (CH 3 COCH 3 ) e. Benzoic acid (C 6 H 5 COOH) = f. HF g. HCl h. H 2 SO 4 i. Glucose (C 6 H 12 O 6 ) = sugar = j. HNO 2 k. KI l. NaHCO 3 m. HBr n. K 3 PO 4 o. Benzene (C 6 H 6 ) O OH O OH HO HO HO OH
Chemistry I Final Exam Review —21— Intermolecular Forces & Boiling Point Dispersion: Occurs with any polyatomic nonpolar compound ; monoatomic species do not have dispersion. *Note: induced dipole can occur where electron density is not equally distributed throughout the compound, resulting in # + and # - poles. ie., diatomic oxygen gas (O 2 ): Δ EN = zero , implying nonpolar Induced dipole in oxygen gas, creating poles of different electron density. Dipole-dipole: Occurs only with polar compounds ; if it is polar, it has dipole-dipole. ie., water (H 2 O): Hydrogen-bonding: Occurs between two molecules that each have an H— (O, N, F) . ie., water and ammonia (NH 3 ): O O O O H O H δ + δ - H O H 1 2 2 1 3 3 H O H H O H H O H H O H H O H H N H H H N H H H N H H H N H H Net polar vector, implying polar molecule.
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Chemistry I Final Exam Review —22— 1. Label the following compounds from lowest (#7) to highest (#1) boiling point: a. HF b. CH 3 CH 2 CH 2 CH 2 CH 3 c. H 2 O 2 d. SeF 6 e. CH 3 OH f. CH 3 I g. CH 3 CH 2 OH Dilutions 1. What molarity for a stock solution of benzene dissolved in 7 mL of tetrahydrofuran (THF) is required to make a 2000. μ L of 0.50 molar aliquot? a. How many mL of THF are required for a 10:1 dilution of that 0.50 M aliquot?
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Chemistry I Final Exam Review —23— Exam IV Solubility & Acid-Base Reactions, Gases & Gas Kinetics, Diffusion & Effusion, Thermodynamics, & Hess’s Law Solubility Rules 1. Most nitrate, acetate, chlorate, & bicarbonate (hydrogen carbonate) salts are soluble. 2. Most salts of alkali metals and ammonium cations are soluble. 3. Most chloride, bromide and iodide salts are soluble. Exceptions: salts containing Ag + , Pb 2+ and Hg 2 2+ ions are insoluble 4. Most sulfate salts are soluble. Exceptions: sulfates containing Ca 2+ , Sr 2+ , Ba 2+ , Pb 2+ ,Hg 2 2+ and Ag + ions are insoluble 5. Most hydroxide salts are insoluble. Exceptions: hydroxides containing alkali metals, ammonium ions, Ba 2+ , Sr 2+ , and Ca 2+ ions are soluble 6. Most sulfide, carbonate, chromate and phosphate salts are insoluble. Exceptions: salts of alkali metals and ammonium cations are soluble Solubility, Precipitation, & Acid-Base Chemistry 1. Circle the compounds that are soluble in water: ZnCl 2 AgBr AlPO 4 Ba(OH) 2 BaCO 3 LiCl RbNO 3 NH 4 CH 3 COO 2. Write the formula equation, ionic, and net ionic equations for the following reactions: a. (NH 4 ) 2 SO 4(aq) + BaCl 2(aq) b. HI (aq) + NaOH (aq)
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Chemistry I Final Exam Review —24— Gas Laws, Arithmetic Relationships, Gas Kinetics, & Diffusion/Effusion Ideal Gas Law: %& = ()* % # & # = ()* % $ & $ = ()* ⇒ % # & # = % $ & $ ) = 0.08206 12345 %# 467 %# ) = 8.314 ;467 %# 5 %# Boyle’s Law: % # & # = % $ & $ ∴ % ∝ # & Charle’s Law: ' ! & ! = ' " & " Avogadro’s Law: ' ! ( ! = ' " ( " Dalton’s Law of Partial Pressure: Σ% = % # + % $ + % ) + + % + = ( # )* & + ( $ )* & + ( ) )* & + + ( + )* & Under constant T & V, % ∝ ( ⇒ 467@ AB2C3D6( (F) = ( # ( $%$&' = , # , $%$&' ∵ % ∝ ( Total atmospheric pressure (% -.-/0 ) = % 1/2 + % 3/-45(1) ⇒ % 1/2 = % -.-/0 − % 3/-45(1) Kinetic Molecular Theory: 1. volume of particles is negligible 2. constant motion 3. no particle-particle IMFs 4. 5 /84 = * ∴ 5 /84 = ) $ )*; Kℎ@B@ (M4@B236B 6A 3 ⇒ ℝ ) (3-space) O = P 592 = Q ):& 9 ∵ 5 /84 = ) $ )* = # $ 4O $ ⇒ O $ = ):& 9 Diffusion: Transport of one species through a permeable membrane; driven by concentration gradient (high to low) Effusion: Transport of one species through a pin hole; driven by vacuum (high to none) B23@ 6A Cℎ2(R@ D( S6T # B23@ 6A Cℎ2(R@ D( S6T $ = UDT32(C@ 3 # UDT32(C@ 3 $ = V 3 # V 3 $ = W 4 $ 4 # = 3 $ 3 #
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Chemistry I Final Exam Review —25— 1. What is the velocity of xenon gas at 72°C? 2. What is the velocity of acetylene (C 2 H 2 ) at 48°C? 3. Hydrogen gas traveled through a pin hole over 26 seconds. How long will it take for argon gas to travel through the same pin hole? 4. You wish to grill some yummy hotdogs on a nice and toasty 32°C summer day! What is the pressure of 2 kg of propane (CH 3 CH 2 CH 3 ) in a 20 liter propane tank? 5. Consider three different gases: He, Br 2 , and H 2 . a. Order the gases by increasing mass. b. Order the gases by increasing velocity. c. Order the gases by increasing average kinetic energy. 6. The pressure of argon gas is 2 atm at 40°C and in 5 liters. What will the pressure be if the volume increased to 8.6 L.
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Chemistry I Final Exam Review —26— 7. Consider the reaction below: Inside of an enclosed cylindrical chamber filled with pure oxygen gas, octanitrocubane (oNC, C 8 N 8 O 16 ) receives enough activation energy from an ignition spark that it combusts into carbon monoxide, nitrogen gas, and oxygen gas. a. How many moles of gas are produced via this combustion reaction if 300. g of oNC are used? b. What is the final pressure of the 250 mL reaction system after this amount of gas moles are produced at 68°C? c. Was the reaction chamber able to contain the combustion of oNC if it had a structural integrity to withstand 1000 atm of internal pressure? NO 2 O 2 N O 2 N NO 2 NO 2 NO 2 O 2 N O 2 N O 2(g) spark 8 CO (g) + + 4 N 2(g) C 8 N 8 O 16 MW = 464.13 5 O 2(g) +
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Chemistry I Final Exam Review —27— Thermodynamics Internal Energy: XY = XZ = [ + \ = [ + %U& Heat & Work Signs: Heat released by system on surroundings = -q Heat gained by system from surroundings = +q Work done by system on surroundings = -W = -PdV for expansion Work done on system by surroundings = +W = +PdV for compression Enthalpic Change: X] 5;( = < ()* 9.0 Calorimetry: Coffee-cup Bomb C6(T32(3 % ⇒ U% = ^@B6 C6(T32(3 % ⇒ [ = = U] [ 5;( = 4CX* [ 2>2 = −[ 2?55 [ 94-/0 = −4 2.0?-@.( C 2.0?-@.( X* C6(T32(3 & ⇒ U& = ^@B6 [ 5;( = _ A/0.5@94-45 X* = _X* [ 2>2 = −[ 2?55
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Chemistry I Final Exam Review —28— 8. Consider an engine piston transitioning from state one to state two from the combustion of benzene and straight-chain alkanes (hydrocarbon chains) within the combustion chamber: State 1 State 2 Combustion of such fuel caused the piston to travel down its combustion chamber, effectively rotating the crankshaft and driving the rotation of a car’s wheels. For this instance, please consider only the piston and the combustion chamber as your system, and the rotation of the crankshaft as your surroundings. Over this transition, the temperature of chamber increased from 23°C to 111°C, and the pressure remained at 1.8 atm. a. What ideal gas parameters (P, V, n, R, T) are constant and nonconstant for this system? b. For the internal energy formula, ∆Z = [ + \ , what are the signs of heat and work? c. Is this reaction exothermic or endothermic? + + 14 O 2(g) spark 10 CO 2(g) 8 H 2 O (g) + + E (q+w) (s) (l) C 6 H 6 MW = 78.11 C 4 H 10 MW = 58.12 H = -600 kJmol -1
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Chemistry I Final Exam Review —29— d. What is the value of heat of reaction in joules (J) if 5 L of butane is combusted. The density of butane (! B?-/(4 ) = 0.580 R41 %# . e. What is the specific heat capacity of butane ( C B?-/(4 )? 9. You place dry ice into a balloon and tie it closed at room temperature. a. What happens to the volume of the balloon? 10. You fill a balloon with helium, tie it closed, and let it go into the atmosphere; never to be seen again. b. What will happen to the balloon as it continues to rise; does is pop or continue travelling upwards into the outer rim of our atmosphere and eventually space? c. Does the volume of the balloon increase or decrease? d. What causes the volume to change? e. What is the sign of work? 11. A closed can of Coke at 1.15 atm is submerged to the bottom of the ocean. The external pressure from the ocean being exerted on the can is 1200 atm. a. What happens to the can at the bottom of the ocean? b. Does the volume of the can change? c. What is the sign of dV? d. What is the sign of work?
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Chemistry I Final Exam Review —30— Hess’s Law Net enthalpic change (dH net ) = dH 1. What is the total enthalpic change ( dH net ) for the net reaction below: 2. What is the enthalpic change for the first reaction when given dH net ? C 4 H 8(g) + 6 O 2(g) spark 4 CO 2(g) + 4 H 2 O (l) : ࠵? H net = x 2 H 2(g) + O 2(g) 2 H 2 O (g) : ࠵? H = -600 kJ C 4 H 8(g) + H 2(g) 2 C 4 H 10(g) + 13 O 2(g) 8 CO 2(g) + 10 H 2 O (l) : ࠵? H = -4040 kJ C 4 H 10(g) : ࠵? H = -140 kJ NO 2(g) + N 2 O (g) 3 NO (g) : ࠵? H net = 155.5 kJ 2 N 2(g) + O 2(g) 2 N 2 O (g) : ࠵? H = x kJ N 2(g) + O 2(g) N 2(g) + 2 O 2(g) 2 NO 2(g) : ࠵? H = 66.4 kJ 2 NO (g) : ࠵? H = 180.5 kJ
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Chemistry I Final Exam Review —31— Exam V Heating Curve, Equilibrium, Bond Energies Heating Curve States of Matter Conversions: 1. Answer the questions regarding the heating curve of Gold below: Note: Δ] C?2 = 13.2 DE 9.0 , Δ] 8/= = 310.9 DE 9.0 , C 2.0@F = G.#$IE 1℃ , C 0@<?@F = G.G)KKE 1℃ , C 1/2 = G.#)LE 1℃ a. At what temperature does gold undergo fusion? b. At what temperature does gold undergo vaporization? c. What temperature range does gold exist as a solid? Gas Liquid Solid Condensation Vaporization Freezing Fusion 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 Temperature (°C) Heat Added
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Chemistry I Final Exam Review —32— d. What temperature range does gold exist as a liquid? e. At what temperature does gold exist as a gas? f. What is the energy for 2 moles of gold as a solid in kJ? g. What is the energy for 2 moles of gold associated as a liquid in kJ? h. What is the energy for 2 moles of gold associated as a gas in kJ? i. What is the energy for 2 moles of gold during the transition from solid to liquid in kJ? j. What is the energy for 2 moles of gold during the transition from liquid to gas in kJ? k. What is the total energy in kJ required to convert 2 moles of solid gold at 0°C to gaseous gold at 8000°C? l. What is the sign for the total energy and why? 2. Draw the heating curve of water with temperature vs. heat added. a. What is the energy required to heat 5 L of liquid water? Assume dT is all temperatures where water exists as a liquid.
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Chemistry I Final Exam Review —33— Equilibrium, Le Chatelier, Equilibrium Constant & Reaction Quotient, & ICE Tables Only applies to reactions involving gases K > Q favors products K < Q favors reactants K = Q equilibrium, no shift K values are multiplicative K p = K(RT) dn {dn = change in gas moles = (n f gas – n i gas )} 5% Rule: K < 1E-4 Favors reactants Very little product is formed relative to the starting concentration [Reactant] is relatively large, loss of product is close to zero, x becomes negligible Which direction does the reaction shift according to the changes in the reaction: 1. 2SO 3(g) 2SO 2(g) + O 2(g) a. Add SO 3 b. Add O 2 c. Remove SO 2 d. Add Argon gas e. Decrease the volume of the system 2. 2Ag (s) + 4H + (aq) + O 2(g) 2Ag + (aq) + 2H 2 O (l) H = +40 kJ a. Add silver ions b. Remove liquid water c. Increase the temperature of the system d. Write the expression of K eq for this reaction at equilibrium e. What is the numerical value for K eq if the concentrations of each species is 2 M at equilibrium?
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Chemistry I Final Exam Review —34— f. If the concentrations for H + (aq) , O 2(g) , and Ag + (aq) are 1, 0.250, and 0.5, respectively, does the reaction favor products or reactants? 3. Consider the equilibrium expressions below: HF (aq) H + (aq) + F - (aq) K c1 = 0.0055 H 2 C 2 O 4(aq) 2H + (aq) + C 2 O 4 2- (aq) K c2 = 0.00028 a. Determine the net value of K c for the net reaction below: 2HF (aq) + C 2 O 4 2- (aq) 2F - (aq) + H 2 C 2 O 4(aq) Π K c = ? 4. Consider the reactions below at 400°C: a. CO (g) + H 2 O (g) CO 2(g) + H 2(g) K c = 0.04 If the initial concentrations for the reactants are 1.500 M, what are the equilibrium concentrations? b. H 2(g) + F 2(g) 2HF (g) K c = 0.43 If the initial molar concentrations for nitrogen gas, oxygen gas, and nitrous oxide are 2.00, 4.00, and 6.00 M, respectively, what are the equilibrium concentrations?
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Chemistry I Final Exam Review —35— 5. Consider the combustion of methanol (MeOH = CH 3 OH) below: 2MeOH (l) + 3O 2(g) 2CO 2(g) + 4H 2 O (g) Rxn P O2 P CO2 P H2O I 0.02 0.04 0.14 II 0.01 0.03 x What is the partial pressure of water vapor for rxn II? Compute the equilibrium constant. 6. Determine the equilibrium concentrations for the reaction below if you add 654.6 g of NOCl to 4000 mL reaction flask: 2NOCl (g) 2NO (g) + Cl 2(g) K c = 1E-6 Heat of Formation Reaction enthalpy: dH rxn = ndH f, products – ndH f, reactants 1. One mole of glycylglycine can be hydrolyzed into two moles of glycine. The enthalpy of reaction (dH rxn ) for glycylglycine hydrolysis: glycylglycine (aq) + H 2 O (l) 2 glycine (aq) is dH rxn = -43.36 kJ mol -1 . The heats of formation (dH f ) for liquid water and aqueous glycylglycine are -68.39 kJ mol -1 and -178.29 kJ mol -1 , respectively. Compute the dH f of glycine.
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Chemistry I Final Exam Review —36— Bond Energies Sum: BE = dH = nBE reactants - nBE products 1. 2H 2(g) + O 2(g) 2 H 2 O (l) H = -400 kJ a. What is the total bond energy? b. If the bond energy for hydrogen gas is one-third the bond energy of liquid water, and gZ M$ = 150 kJ, what is gZ N$ and gZ N$M in kJ? 2. What is the enthalpy change for the decomposition of hydrochloric acid? 2HCl H 2 + Cl 2 H—Cl 427 kJ mol -1 H—H 436 kJ mol -1 C—C 347 kJ mol -1 Cl—Cl 242 kJ mol -1 C—Cl 339 kJ mol -1
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Chemistry I Final Exam Review —37— Challenge Questions 1. David J. Van Wazer, 2. John M. Van Wazer 1. The SARS-CoV-2 and HIV-1 viral spike proteins are highly antigenic, prompting the production of antibodies from B-cells as part of the adaptive immune response. Each spike protein exists as a homotrimer, and each antigen binding fragment (Fab) of an antibody recognizes one of the three spike subunits composing the homotrimer. Consider the binding of Fab-antibody to the HIV spike protein: You are working at the Vaccine Research Center at the National Institute of Allergy and Infectious Diseases (NIAID) overlooking a clinical trial for a potential HIV vaccine. Four weeks after receiving the vaccine, patient VRC01 was challenged with live HIV and has since seemed to completely recover from the infection. You took a blood serum sample of patient VRC01 and purified 1 mg of Fab. (FYI...a patient would never be challenged with live virus that there is no cure for... this is theoretical) MW of Fab = 50,000 g/mol (50 kDa for you biology/biochemistry majors) MW of HIV homotrimer spike protein = 230,000 g/mol (225 kDa) a. If you have 100 micrograms (ug) of HIV spike protein, how many moles of Fab are required to make spike-Fab complexes? b. How many molecules of Fab did you use to make the spike-Fab complexes in part a? c. How many micrograms of spike-Fab complex did you make? + 3 HIV-spike homotrimer Antibody Fab
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Chemistry I Final Exam Review —38— 2. As an undergraduate research assistant in the Burke Lab at the University of Illinois Urbana-Champaign, you are studying the step-wise binding of a novel small-molecule compound capable of positive allosteric cooperativity. Positive allosteric cooperativity refers to when the binding of one species promotes the binding of subsequent species; where the second binding is more favorable once the first binding event has occurred. You have successfully synthesized and modeled the small-molecule’s theoretical two-step binding cooperativity in Spartan modeling software, and now wish to test the small- molecule for its positive cooperativity in a laboratory environment to confirm its unique binding properties. Via isothermal titration calorimetry (ITC), a technique to measure the enthalpic change upon binding events at constant pressure and volume, you titrate (add over time) ligand L into the reaction chamber containing the small-molecule that you have named tetra- carboxyl bis-benzene (t-Cbb). You obtain an ITC binding curve below: The negative slope of each binding event is your binding constant K c . Each binding event has a respective binding constant K 1 and K 2 . The two-step binding reaction of L to t-Cbb is below: 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 0 1 2 3 4 5 6 Q(kcal/mol) [L]/[t-Cbb] O O O O O O O O + 2 L K 1 O O O O O O O O O O O O O O O O K 2 L L L + L
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Chemistry I Final Exam Review —39— a. Consider the step-wise binding of L to t-Cbb, what is the dH in kJ for each binding event, dH 1 and dH 2 ? Hint: Consider the relationship of enthalpy and heat given the ITC conditions. 1 kcal mol -1 = 4184 J mol -1 b. On ITC, what are the binding constants for each binding event in kcal mol -1 ? Which K c is greater? Note: you do not need to write the K c binding expression. c. Does t-Cbb possess the positive allosteric cooperativity you had hypothesized?
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