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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?
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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 28a
Knight Calc 5th EditionCh 19: Work, Heat, and the First Law of ThermodynamicsProblema 28aCapitolo 19, Problema 28a
A container holds 1.0 g of oxygen at a pressure of 8.0 atm. How much heat is required to increase the temperature by 100°C at constant pressure?
Guida verificata passo dopo passo1
Step 1: Identify the relevant formula for heat transfer at constant pressure. The heat required can be calculated using the formula: , where is the heat, is the number of moles, is the molar heat capacity at constant pressure, 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 (32 g/mol).
Step 3: Look up the molar heat capacity at constant pressure for oxygen gas. For diatomic gases like oxygen, is approximately 29 J/(mol·K).
Step 4: Determine the temperature change in Kelvin. Since the problem specifies a temperature increase of 100°C, and the size of a degree is the same in Celsius and Kelvin, the temperature change is K.
Step 5: Substitute the values into the formula . Use the calculated number of moles, the molar heat capacity, and the temperature change to find the heat required. 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 essential for understanding how gases behave under different conditions, particularly when changes in temperature and pressure occur. In this question, it helps to establish the relationship between the gas's properties as heat is added.
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Percorso guidato
07:21
Ideal Gases and the Ideal Gas Law
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 value can vary depending on whether the process occurs at constant pressure or volume. In this scenario, the specific heat capacity at constant pressure (Cp) is crucial for calculating the heat required to achieve the desired temperature increase.
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06:50Specific Heat & Temperature Changes
First Law of Thermodynamics
The First Law of Thermodynamics states that energy cannot be created or destroyed, only transformed. In the context of this question, it implies that the heat added to the gas will result in a change in internal energy and work done by the gas, particularly since the process occurs at constant pressure. Understanding this principle is vital for calculating the heat transfer involved in the temperature change.
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Percorso guidato
08:04The First Law of Thermodynamics
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