Domanda del libro di testo
(b) If a car tire is filled to a pressure of 220.6 kPa measured at 24 °C, what will be the tire pressure if the tires heat up to 49 °C during driving?
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Ch.10 - Gases
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 10, Problema 25c
You have a gas at 25 C confined to a cylinder with a movable piston. Which of the following actions would double the gas pressure? (a) Lifting up on the piston to double the volume while keeping the temperature constant (b) Heating the gas so that its temperature rises from 25 C to 50 C, while keeping the volume constant (c) Pushing down on the piston to halve the volume while keeping the temperature constant.
Guida verificata passo dopo passo1
Identify the initial conditions of the gas: constant temperature at 25°C and a certain volume.
Recall the ideal gas law: \( PV = nRT \), where \( P \) is pressure, \( V \) is volume, \( n \) is the number of moles, \( R \) is the gas constant, and \( T \) is temperature in Kelvin.
Convert the given temperature from Celsius to Kelvin: \( T(K) = 25 + 273.15 \).
Analyze each option: (a) Doubling the volume while keeping temperature constant will halve the pressure, according to Boyle's Law (\( P_1V_1 = P_2V_2 \)). (b) Doubling the temperature in Kelvin will double the pressure if volume is constant, according to Gay-Lussac's Law (\( \frac{P_1}{T_1} = \frac{P_2}{T_2} \)). (c) Halving the volume while keeping temperature constant will double the pressure, according to Boyle's Law.
Determine which action results in doubling the pressure: Option (c) is correct, as halving the volume while keeping temperature constant will double the pressure.
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Ideal Gas Law
The Ideal Gas Law, represented as PV = nRT, relates the pressure (P), volume (V), and temperature (T) of an ideal gas. It shows that for a given amount of gas (n) at a constant temperature, pressure is inversely proportional to volume. This means that if the volume decreases, the pressure increases, assuming temperature remains constant.
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Percorso guidato
01:15
Ideal Gas Law Formula
Charles's Law
Charles's Law states that the volume of a gas is directly proportional to its temperature when pressure is held constant. This means that increasing the temperature of a gas will increase its volume, which can affect the pressure if the volume is not allowed to change. Understanding this law helps in analyzing how temperature changes impact gas behavior.
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Percorso guidato
02:06Charles's Law
Boyle's Law
Boyle's Law states that the pressure of a gas is inversely proportional to its volume when temperature is held constant. This means that if the volume of a gas is halved, the pressure will double, provided the temperature does not change. This principle is crucial for understanding how compressing a gas affects its pressure.
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Percorso guidato
03:13Boyle's Law
Pratica correlata
Domanda del libro di testo
(a) Amonton's law expresses the relationship between pressure and temperature. Use Charles's law and Boyle's law to derive the proportionality relationship between P and T.
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Domanda del libro di testo
If the atmospheric pressure is 0.995 atm, what is the pressure of the enclosed gas in each of the three cases depicted in the drawing? Assume that the gray liquid is mercury. (ii)
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Domanda del libro di testo
An open-end manometer containing mercury is connected to a container of gas, as depicted in Sample Exercise 10.2. What is the pressure of the enclosed gas in torr in each of the following situations? (a) The mercury in the arm attached to the gas is 15.4 mm higher than in the one open to the atmosphere; atmospheric pressure is 0.985 atm.
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Domanda del libro di testo
If the atmospheric pressure is 0.995 atm, what is the pressure of the enclosed gas in each of the three cases depicted in the drawing? Assume that the gray liquid is mercury. (i)
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