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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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TOC.tableOfContents
- 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
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
Capitolo 17, Problema 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?
Guida verificata passo dopo passo1
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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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.
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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.
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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.
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08:17The Normal Force
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