Unit 3 · Properties of Substances and MixturesPractice · 物质与混合物的性质
Lessons covered:U3.1 Intermolecular ForcesU3.2 Properties of SolidsU3.4 Ideal Gas LawU3.5 Kinetic Molecular TheoryU3.7 Solutions and MixturesU3.8 Representations of SolutionsU3.9 Separation of Solutions and Mixtures (Chromatography, Distillation)U3.10 SolubilityU3.11 Spectroscopy and the Electromagnetic SpectrumU3.12 Photoelectric EffectU3.13 Beer-Lambert Law
- 1Multiple choice
boils at 100.0 °C and at −59.6 °C, even though has more electrons. Which is the best explanation?
ExplanationBoiling only overcomes the forces between molecules; it doesn’t break the O–H or S–H bonds inside them, so A’s reason is wrong. has 18 electrons and only 10, so really does have stronger dispersion forces. But in the H is bonded to the very electronegative O, so the molecules form hydrogen bonds, which are much stronger than the dipole–dipole and dispersion forces in . is bent and polar, so D is false.
Review: U3.1 Intermolecular Forces
- 2Select all
Between which pairs of molecules can hydrogen bonds form?
More than one option may be correct. Choose all that apply, then press Submit.
ExplanationA hydrogen bond needs two things: an H bonded to N, O, or F on one molecule (the donor) and a lone pair on N, O, or F on the other (the acceptor). Dimethyl ether and acetone have O lone pairs, so they can accept, but they have no O–H, so they can’t hydrogen-bond to each other. Mixed with water, water’s H can hydrogen-bond to their O. is both a donor and an acceptor. is neither, so it doesn’t hydrogen-bond to water.
Review: U3.1 Intermolecular Forces
- 3Multiple choice
A solid is extremely hard and melts only at a very high temperature. It doesn’t conduct electricity as a solid or when melted, and it doesn’t dissolve in water or hexane. What type of solid is it most likely to be?
ExplanationIn a covalent network solid every atom is joined to the rest by covalent bonds, so melting means breaking many covalent bonds: the solid is hard and melts only at a very high temperature. It has no mobile ions or electrons, so it doesn’t conduct as a solid or a liquid (graphite is the exception). An ionic solid would conduct when melted, a metal conducts as a solid, and a molecular solid usually melts at a low temperature and is soft.
Review: U3.2 Properties of Solids
- 4Numeric
A 1.00 L flask is filled with a gas at 0.958 atm and 27.0 °C. The gas has a mass of 1.24 g. What is the molar mass of the gas? (R = 0.08206 L·atm/(mol·K))
g/molRound your answer to the correct number of significant figures.
ExplanationFirst convert the temperature to kelvins: T = 27.0 + 273.15 = 300.15 K.
M = m ÷ n = 1.24 g ÷ 0.0389 mol = 31.9 g/mol, consistent with (32.00 g/mol). The mass and pressure have 3 significant figures, so the answer has 3. Forgetting to convert to kelvins gives 2.87 g/mol.
Review: U3.4 Ideal Gas Law
- 5Numeric
A 2.00 L container holds at 1.50 atm. It is joined through a closed valve to a 3.00 L container of at 0.800 atm. At constant temperature the valve is opened and the gases mix completely without reacting. What is the total pressure?
atmRound your answer to the correct number of significant figures.
ExplanationEach gas spreads through the whole 5.00 L, and at constant temperature :
By Dalton’s law, the total pressure is 0.600 + 0.480 = 1.08 atm. Adding the starting pressures (2.30 atm) or averaging them (1.15 atm) is wrong.
Review: U3.4 Ideal Gas Law
- 6Multiple choice
Each diagram shows the speed distributions of Ne and Kr atoms at 300 K. Which diagram is correct?
NeKrExplanationAt the same temperature both kinds of atoms have the same average kinetic energy, ½mv², so the heavier Kr moves more slowly on average: the most probable speed is about 497 m/s for Ne and about 244 m/s for Kr. The area under each curve stands for all the atoms, so Kr’s narrower distribution has a taller peak. A assumes the same temperature means the same speeds, B swaps the two gases, and D’s dashed curve is faster than Ne, so it would be an atom lighter than Ne.
Review: U3.5 Kinetic Molecular Theory
- 7Numeric
What mass of is needed to make 250.0 mL of solution with = 0.300 M? ( 142.04 g/mol)
gRound your answer to the correct number of significant figures.
ExplanationEach releases 2 ions, so = 0.300 ÷ 2 = 0.150 M.
Forgetting to divide by 2 gives 10.7 g, which would make twice the target.
Review: U3.7 Solutions and Mixtures
- 8Multiple choice
Which diagram best represents an aqueous solution of ? (Only the water molecules next to each ion are shown: red is O, white is H.)
Explanationdissociates in water into and ions in a 2 : 1 ratio. The bonds inside are covalent, so it stays together as one ion. The partially negative O of each water molecule faces the cation , and the partially positive H atoms face the anion . B shows undissociated units, C has a 1 : 1 ratio, so its charges don’t balance, and D has the water molecules turned the wrong way.
- 9Multiple choice
A mixture of pentane (, bp 36.1 °C) and hexane (, bp 68.7 °C) is fractionally distilled, and the thermometer at the top of the column first holds near 36 °C. What is the liquid collected then mostly made of, and why does it boil first?
ExplanationBoth compounds have only dispersion forces. Pentane has 42 electrons and hexane 50, so pentane’s smaller electron cloud is less polarizable and its intermolecular forces are weaker. At the same temperature it has the higher vapor pressure and the lower boiling point, so the first liquid collected is mostly pentane. Boiling overcomes only the forces between molecules; no covalent bonds inside the molecules break (B is wrong). Having the same polarity doesn’t stop fractional distillation, which depends on different boiling points (D is wrong).
Review: U3.9 Separation of Solutions and Mixtures (Chromatography, Distillation)
- 10Multiple choice
The table gives the solubilities of four salts (g per 100 g of water). A saturated solution of each at 80 °C is cooled to 20 °C. For which salt does the largest percentage of the dissolved salt crystallize?
Salt 80 °C 20 °C 169 31.6 65.6 37.2 51.1 34 38.4 36 ExplanationPercent crystallized = (solubility at 80 °C − solubility at 20 °C) ÷ solubility at 80 °C. : (169 − 31.6) ÷ 169 ≈ 81.3%; : (65.6 − 37.2) ÷ 65.6 ≈ 43.3%; : (51.1 − 34) ÷ 51.1 ≈ 33.5%; : (38.4 − 36) ÷ 38.4 ≈ 6.25%. ’s solubility changes most with temperature, so it is best purified by cooling. NaCl’s solubility barely changes, so its crystals are usually obtained by evaporating the water instead.
Review: U3.10 Solubility
- 11Numeric
The work function of potassium is 2.29 eV (1 eV = 1.602 × 10⁻¹⁹ J). What is the longest wavelength of light, in nanometers, that can eject electrons from potassium? (h = 6.626 × 10⁻³⁴ J·s, c = 3.00 × 10⁸ m/s)
nmRound your answer to the correct number of significant figures.
ExplanationEach photon must carry at least the work function: , so the longest wavelength is
That’s green light. Only shorter (higher-energy) wavelengths eject electrons; red light can’t, however bright it is.
Review: U3.12 Photoelectric EffectU3.11 Spectroscopy and the Electromagnetic Spectrum
- 12Select all
A colored solution’s concentration is found with a calibration curve. Which mistakes would make the calculated concentration of the unknown too high?
More than one option may be correct. Choose all that apply, then press Submit.
ExplanationCalculated concentration = absorbance of the unknown ÷ slope of the calibration curve, so ask whether each mistake changes the top or the bottom. A: fingerprints absorb and scatter light, so the absorbance reads high and the concentration comes out high. D: the standards are really more dilute than recorded, so plotting them at the recorded concentrations gives a slope that’s too small, and the concentration comes out high (about 1.05 times the true value). B: the unknown is diluted, so its absorbance is low: too low. C: the standards are really more concentrated, so the slope is too large: too low. E: half the path length gives half the absorbance: too low (0.5 times).
Review: U3.13 Beer-Lambert Law
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