Domanda del libro di testo
The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. What is the specific heat ratio γ?
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Ch 19: Work, Heat, and the First Law of Thermodynamics
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796
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TOC.tableOfContents
- Ch 01: Concepts of Motion35
- Ch 02: Kinematics in One Dimension75
- Ch 03: Vectors and Coordinate Systems58
- Ch 04: Kinematics in Two Dimensions60
- Ch 05: Force and Motion23
- Ch 06: Dynamics I: Motion Along a Line53
- Ch 07: Newton's Third Law27
- Ch 08: Dynamics II: Motion in a Plane52
- Ch 09: Work and Kinetic Energy56
- Ch 10: Interactions and Potential Energy50
- Ch 11: Impulse and Momentum56
- Ch 12: Rotation of a Rigid Body71
- Ch 13: Newton's Theory of Gravity52
- Ch 14: Fluids and Elasticity44
- Ch 15: Oscillations55
- Ch 16: Traveling Waves37
- Ch 17: Superposition39
- Ch 18: A Macroscopic Description of Matter53
- Ch 19: Work, Heat, and the First Law of Thermodynamics60
- Ch 20: The Micro/Macro Connection53
- Ch 21: Heat Engines and Refrigerators34
- Ch 22: Electric Charges and Forces40
- Ch 23: The Electric Field39
- Ch 24: Gauss' Law32
- Ch 25: The Electric Potential63
- Ch 26: Potential and Field57
- Ch 27: Current and Resistance42
- Ch 28: Fundamentals of Circuits39
- Ch 29: The Magnetic Field47
- Ch 30: Electromagnetic Induction60
- Ch 31: Electromagnetic Fields and Waves32
- Ch 32: AC Circuits63
- Ch 33: Wave Optics32
- Ch 34: Ray Optics57
- Ch 35: Optical Instruments30
- Ch 36: Special Relativity38
- Ch 37: The Foundations of Modern Physics25
- Ch 38: Quantization49
- Ch 39: Wave Functions and Uncertainty31
- Ch 40: One-Dimensional Quantum Mechanics35
- Ch 41: Atomic Physics18
- Ch 42: Nuclear Physics27
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Non è quello che usi tu?Cambia libro di testo
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Knight Calc 5th EditionCh 19: Work, Heat, and the First Law of ThermodynamicsProblema 28b
Knight Calc 5th EditionCh 19: Work, Heat, and the First Law of ThermodynamicsProblema 28bCapitolo 19, Problema 28b
A container holds 1.0 g of oxygen at a pressure of 8.0 atm. How much will the temperature increase if this amount of heat energy is transferred to the gas at constant volume?
Guida verificata passo dopo passo1
Step 1: Identify the given values and the formula to use. The problem involves heat transfer at constant volume, so we use the formula for heat transfer in an ideal gas: , where is the heat energy transferred, is the number of moles of gas, is the molar heat capacity at constant volume, and is the temperature change.
Step 2: Calculate the number of moles of oxygen gas. Use the molar mass of oxygen, which is approximately 32 g/mol. The number of moles is given by , where is the mass of the gas (1.0 g) and is the molar mass.
Step 3: Determine the molar heat capacity at constant volume, . For diatomic gases like oxygen, is approximately , where is the universal gas constant (8.314 J/(mol·K)).
Step 4: Rearrange the heat transfer formula to solve for the temperature change: . Substitute the values of , , and into the equation.
Step 5: Perform the calculation to find . This will give the increase in temperature of the gas in Kelvin. Ensure the units are consistent throughout the calculation.
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Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
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 is fundamental in understanding how gases behave under various conditions, particularly when analyzing changes in temperature and pressure while keeping volume constant.
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Percorso guidato
07:21
Ideal Gases and the Ideal Gas Law
Heat Transfer and Internal Energy
Heat transfer refers to the energy exchanged between a system and its surroundings due to a temperature difference. In the context of gases, when heat is added at constant volume, it increases the internal energy of the gas, which is directly related to its temperature, as described by the first law of thermodynamics.
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05:14Overview of Heat Transfer
Specific Heat Capacity
Specific heat capacity is the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius. For gases, this concept is crucial when calculating temperature changes resulting from heat transfer, as it determines how much the temperature will increase based on the amount of heat added.
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Percorso guidato
06:50Specific Heat & Temperature Changes
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