교과서 질문
Calculate the one temperature at which Fahrenheit and Kelvin thermometers agree with each other
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Ch 17: Temperature and Heat
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610
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Table of contents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
17장, 문제 8
A constant-volume gas thermometer registers an absolute pressure corresponding to mm of mercury when in contact with water at the triple point. What pressure does it read when in contact with water at the normal boiling point?
검증된 단계별 안내1
Understand the concept of a constant-volume gas thermometer: It measures temperature by the pressure of a gas at constant volume. The pressure is directly proportional to the temperature in Kelvin.
Recall the triple point of water: It is the temperature and pressure at which water can coexist in solid, liquid, and gas phases. The triple point temperature is 273.16 K.
Use the ideal gas law relation for constant volume: \( \frac{P_1}{T_1} = \frac{P_2}{T_2} \), where \( P_1 \) and \( T_1 \) are the pressure and temperature at the triple point, and \( P_2 \) and \( T_2 \) are the pressure and temperature at the boiling point.
Identify the normal boiling point of water: The temperature at which water boils under standard atmospheric pressure is 100°C, which is 373.15 K in Kelvin.
Substitute the known values into the equation: \( P_1 = 325 \) mmHg, \( T_1 = 273.16 \) K, and \( T_2 = 373.15 \) K. Solve for \( P_2 \) using \( P_2 = P_1 \times \frac{T_2}{T_1} \).
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주요 개념
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Triple Point of Water
The triple point of water is the unique temperature and pressure at which water can coexist in equilibrium in its solid, liquid, and gaseous states. It is precisely defined as 0.01°C and 611.657 pascals. Understanding this concept is crucial because it provides a reference point for calibrating thermometers, including constant-volume gas thermometers.
추천 영상:
가이드 코스
06:59
Phase Diagrams
Constant-Volume Gas Thermometer
A constant-volume gas thermometer measures temperature by observing the pressure of a gas at a fixed volume. The pressure changes proportionally with temperature, following the ideal gas law. This type of thermometer is highly accurate and is often used to define temperature scales, making it essential for understanding how pressure readings relate to temperature changes.
추천 영상:
가이드 코스
08:59Phase Constant of a Wave Function
Normal Boiling Point of Water
The normal boiling point of water is the temperature at which water transitions from liquid to gas at standard atmospheric pressure (1 atm or 101325 pascals). It is 100°C. Knowing this point is important for determining the pressure reading of a constant-volume gas thermometer when it is in contact with boiling water, as the pressure will reflect the increased temperature compared to the triple point.
추천 영상:
가이드 코스
08:17The Normal Force
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One of the tallest buildings in the world is the Taipei 101 in Taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the temperature was 15.5°C. You could use the building as a sort of giant thermometer on a hot summer day by carefully measuring its height. Suppose you do this and discover that the Taipei 101 is 0.471 foot taller than its official height. What is the temperature, assuming that the building is in thermal equilibrium with the air and that its entire frame is made of steel?
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