Domanda del libro di testo
A 20-cm-diameter cylinder that is 40 cm long contains 50 g of oxygen gas at 20°C. What is the reading of a pressure gauge attached to the tank?
1878
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Ch 18: A Macroscopic Description of Matter
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
Capitolo 18, Problema 28a
A gas with initial state variables p1, V1, and T1 expands isothermally until V2 = 2V1. What are T1?
Guida verificata passo dopo passo1
Step 1: Recognize that the process is isothermal, meaning the temperature remains constant throughout the expansion. Therefore, T₁ = T₂.
Step 2: Recall the ideal gas law, which is expressed as , where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
Step 3: Since the temperature is constant (T₁ = T₂), the product of pressure and volume remains constant during the expansion. This is expressed as .
Step 4: Substitute the given relationship for the final volume, , into the equation to find the relationship between p₁ and p₂.
Step 5: Conclude that since the temperature remains constant, T₂ = T₁. No further calculation is needed for T₂.
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Isothermal Process
An isothermal process is a thermodynamic process in which the temperature of the system remains constant. For an ideal gas, this means that any heat added to the system is used to do work, rather than increasing the internal energy. In this scenario, since the gas expands isothermally, the temperature T₂ will equal the initial temperature T₁.
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06:13
Entropy & Ideal Gas Processes
Ideal Gas Law
The Ideal Gas Law is a fundamental equation in thermodynamics that relates the pressure, volume, temperature, and number of moles of an ideal gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. This law helps in understanding how changes in volume and temperature affect the state of the gas during the isothermal expansion.
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07:21Ideal Gases and the Ideal Gas Law
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 relationship implies that if the volume of a gas increases, its temperature must also increase, provided the pressure does not change. In the context of the isothermal expansion, while the volume doubles, the temperature remains constant, reinforcing the concept that T₂ = T₁.
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10:20Gauss' Law
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A gas with initial state variables p1, V1, and T1 expands isothermally until V2 = 2V1. What are p2?
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