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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Ch.10 - Gases
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement146
- Ch.2 - Atoms, Molecules, and Ions200
- Ch.3 - Chemical Reactions and Reaction Stoichiometry176
- Ch.4 - Reactions in Aqueous Solution155
- Ch.5 - Thermochemistry126
- Ch.6 - Electronic Structure of Atoms131
- Ch.7 - Periodic Properties of the Elements126
- Ch.8 - Basic Concepts of Chemical Bonding123
- Ch.9 - Molecular Geometry and Bonding Theories143
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces91
- Ch.12 - Solids and Modern Materials122
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics174
- Ch.15 - Chemical Equilibrium101
- Ch.16 - Acid-Base Equilibria139
- Ch.17 - Additional Aspects of Aqueous Equilibria146
- Ch.18 - Chemistry of the Environment72
- Ch.19 - Chemical Thermodynamics129
- Ch.20 - Electrochemistry142
- Ch.21 - Nuclear Chemistry101
- Ch.22 - Chemistry of the Nonmetals68
- Ch.23 - Transition Metals and Coordination Chemistry66
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry10
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 10, Problema 24b
If a car tire is filled to a pressure of 32.0 lb/in.2 (psi) measured at 75°F, what will be the tire pressure if the tires heat up to 120°F during driving?
Guida verificata passo dopo passo1
Convert the initial and final temperatures from Fahrenheit to Kelvin using the formula: K = (°F - 32) × \(\frac{5}{9}\) + 273.15.
Use the ideal gas law in the form of the combined gas law: \(\frac{P_1}{T_1}\) = \(\frac{P_2}{T_2}\), where P_1 and T_1 are the initial pressure and temperature, and P_2 and T_2 are the final pressure and temperature.
Substitute the initial pressure (P_1 = 32.0 psi) and the converted temperatures (T_1 and T_2) into the combined gas law equation.
Solve the equation for the final pressure (P_2) by rearranging it to P_2 = P_1 \(\times\) \(\frac{T_2}{T_1}\).
Calculate the final pressure using the values obtained from the previous steps.
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Ideal Gas Law
The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. This law implies that for a fixed volume of gas, an increase in temperature will lead to an increase in pressure, assuming the amount of gas remains constant. This principle is crucial for understanding how tire pressure changes with temperature.
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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. Although tire volume does not change significantly, this law helps illustrate the relationship between temperature and pressure, indicating that as temperature increases, pressure also increases in a closed system like a tire.
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Percorso guidato
02:06Charles's Law
Pressure-Temperature Relationship
The pressure-temperature relationship in gases indicates that pressure increases with temperature in a closed system. This relationship can be quantified using the formula P1/T1 = P2/T2, where P is pressure and T is temperature in Kelvin. Understanding this relationship allows for the calculation of the new tire pressure after a temperature increase.
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Percorso guidato
01:08Standard Temperature and Pressure
Pratica correlata
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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Domanda del libro di testo
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.
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