10.E: Practice Exercises - Solids, Liquids, and Gases
- Page ID
- 523835
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Properties of Liquids
- What is the difference between evaporation and boiling?
- What is the difference between a gas and vapor?
- Define normal boiling point in terms of vapor pressure.
- Is the boiling point higher or lower at higher environmental pressures? Explain your answer.
- Referring to Fig. 10.4.3, if the pressure is 400 torr, which liquid boils at the lowest temperature?
- Referring to Fig. 10.4.3, if the pressure is 100 torr, which liquid boils at the lowest temperature?
- Referring to Fig. 10.4.3, estimate the boiling point of ethanol at 200 torr.
- Referring to Fig. 10.4.3, at approximately what pressure is the boiling point of water 40°C?
- Explain how surface tension works.
- From what you know of intermolecular forces, which substance do you think might have a higher surface tension—ethyl alcohol or mercury? Why?
- Under what conditions would a liquid demonstrate a capillary rise?
- Under what conditions would a liquid demonstrate a capillary depression?
Answers
- Evaporation occurs when a liquid becomes a gas at temperatures below that liquid’s boiling point, whereas boiling is the conversion of a liquid to a gas at the liquid’s boiling point.
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the temperature at which the vapor pressure of a liquid is 760 torr
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diethyl ether
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48°C
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Surface tension is an imbalance of attractive forces between liquid molecules at the surface of a liquid.
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Adhesion must be greater than cohesion.
Solids
- What is the difference between a crystalline solid and an amorphous solid?
- What two properties do solids have in common? What two properties of solids can vary?
- Explain how the bonding in an ionic solid explains some of the properties of these solids.
- Explain how the bonding in a molecular solid explains some of the properties of these solids.
- Explain how the bonding in a covalent network solid explains some of the properties of these solids.
- Explain how the bonding in a metallic solid explains some of the properties of these solids.
- Which type(s) of solid has/have high melting points?
- Which type(s) of solid conduct(s) electricity in their solid state? In their liquid state?
- Which type of solid(s) is/are considered relatively soft?
- Which type of solid(s) is/are considered very hard?
- Predict the type of solid exhibited by each substance.
- Hg
- PH3
- CaF2
- Predict the type of solid exhibited by each substance.
- (CH2)n (polyethylene, a form of plastic)
- PCl3
- NH4Cl
- Predict the type of solid exhibited by each substance.
- SO3
- Br2
- Na2SO3
- Predict the type of solid exhibited by each substance.
- BN (boron nitride, a diamond-like compound)
- B2O3
- NaBF4
- Predict the type of solid exhibited by each substance.
- H2S
- Si
- CsF
- Predict the type of solid exhibited by each substance.
- Co
- CO
- CaCO3
Answers
- At the atomic level, a crystalline solid has a regular arrangement of atoms, whereas an amorphous solid has a random arrangement of atoms.
- The oppositely charged ions are very strongly held together, so ionic crystals have high melting points. Ionic crystals are also brittle because any distortion of the crystal moves same-charged ions closer to each other, so they repel.
- The covalent network solid is essentially one molecule, making it very hard and giving it a very high melting point.
- ionic solids, covalent network solids
- molecular solids
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- metallic
- molecular solid
- ionic crystal
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- molecular solid
- molecular solid
- ionic crystal
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- molecular solid
- molecular solid
- ionic crystal
7.4 Temperature
1. Perform the following conversions.
255°F to degrees Celsius
−255°F to degrees Celsius
50.0°C to degrees Fahrenheit
−50.0°C to degrees Fahrenheit
2. Perform the following conversions.
1,065°C to degrees Fahrenheit
−222°C to degrees Fahrenheit
400.0°F to degrees Celsius
200.0°F to degrees Celsius
3. Perform the following conversions.
100.0°C to kelvins
−100.0°C to kelvins
100 K to degrees Celsius
300 K to degrees Celsius
4. Perform the following conversions.
1,000.0 K to degreesCelsius
50.0 K to degrees Celsius
37.0°C to kelvins
−37.0°C to kelvins
Convert 0 K to degreesCelsius. What is the significance of the temperature in
degrees Celsius?
Convert 0 K to degreesFahrenheit. What is the significance of the temperature in degreesFahrenheit?
5. The hottest temperature ever recorded on the surface of the earth was 136°F in Libya in 1922. What is the temperature in degrees Celsius and in kelvins?
6. The coldest temperature ever recorded on the surface of the earth was −128.6°F in Vostok, Antarctica, in 1983. What is the temperature in
degrees Celsius and in kelvins?
Answers
- 124°C
- −159°C
- 122°F
- −58°F
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- 373 K
- 173 K
- −173°C
- 27°C
- −273°C. This is the lowest possible temperature in
degrees
Celsius. - 57.8°C; 331 K
7.5 - 7.6 Energy and Heat Capacities.
Note: you will need to consult a table of heat capacities, such as the one included here, in order to solve many of these problems.
0. A pot of water is set on a hot burner of a stove. What is the direction of heat flow?
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Some uncooked macaroni is added to a pot of boiling water. What is the direction of heat flow?
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How much energy in joules is required to heat 150. g of H2O from 0.0°C to 100.0°C?
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How much energy in joules is required to heat 125 g of Fe from 25.0°C to 150.0°C?
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If 250 cal of heat were added to 43.8 g of Al at 22.5°C, what is the final temperature of the aluminum?
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If 195 cal of heat were added to 33.2 g of Hg at 56.2°C, what is the final temperature of the mercury?
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A sample of copper absorbs 607 J of energy, and its temperature rises from 37.8°C to 41.7°C. What is the mass of the copper?
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A large, nugget of gold absorbs 410. J of heat. If its temperature rises from 22.0°C to 29.7°C, what is the mass of the gold nugget?
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If 1.00 g of each substance in this Table were to absorb 100 cal of heat, which substance would experience the largest temperature change?
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If 1.00 g of each substance in this Table were to absorb 100 cal of heat, which substance would experience the smallest temperature change?
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Determine the heat capacity of a substance if 23.6 g of the substance gives off 199 cal of heat when its temperature changes from 37.9°C to 20.9°C.
- What is the heat capacity of gold if a 250 g sample needs 133 cal of energy to increase its temperature from 23.0°C to 40.1°C?
*Note: For the next two questions, you will need a table of heat of fusion (melting) or vaporization, which you can find here.
- What quantity of heat is required to melt 2.00 kg of iron at its melting point (1809 K)? For iron, ΔHfus = 13.80 kJ/mol.
- What mass of water would need to evaporate from your skin in order to dissipate 1.70 ×105 J of heat from the surface of your body?
H2O(l) → H2O(g) ΔHvap = 40.7 kJ/mol
Answers
- Heat flows into the pot of water.
- 62700 J
- 7020 J
- 49.1 °C
- 231.7 °C
- 404 g
- Lead and Gold would have the highest temperature change
- 494 kJ
- 75.2 g