Textbook Question
The pressure of a gas at the triple point of water is atm. If its volume remains unchanged, what will its pressure be at the temperature at which CO2 solidifies?
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
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Not the one you use?Change textbook
Chapter 17, Problem 4b
Calculate the one temperature at which Fahrenheit and Kelvin thermometers agree with each other
Verified step by step guidance1
Understand the relationship between Fahrenheit and Kelvin scales. The Fahrenheit scale is related to the Celsius scale by the formula: \( F = \frac{9}{5}C + 32 \). The Kelvin scale is related to the Celsius scale by the formula: \( K = C + 273.15 \).
Set up the equation where Fahrenheit and Kelvin temperatures are equal: \( F = K \). Substitute the expressions for \( F \) and \( K \) in terms of \( C \) into this equation.
Substitute \( F = \frac{9}{5}C + 32 \) and \( K = C + 273.15 \) into the equation \( F = K \), resulting in \( \frac{9}{5}C + 32 = C + 273.15 \).
Solve the equation \( \frac{9}{5}C + 32 = C + 273.15 \) for \( C \). This involves isolating \( C \) on one side of the equation.
Once \( C \) is found, substitute it back into either the Fahrenheit or Kelvin formula to find the temperature at which both scales agree.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Temperature Scales
Temperature scales are systems for measuring temperature, with Fahrenheit and Kelvin being two common examples. Fahrenheit is used primarily in the United States, while Kelvin is the SI unit for temperature, used in scientific contexts. Understanding the conversion between these scales is crucial for solving problems involving temperature comparisons.
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Conversion Formulas
Conversion formulas allow for the translation of temperature values between different scales. The formula to convert Fahrenheit to Kelvin is K = (F - 32) × 5/9 + 273.15. This formula is essential for determining the temperature at which Fahrenheit and Kelvin values are equal, requiring algebraic manipulation to find the common temperature.
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Algebraic Manipulation
Algebraic manipulation involves rearranging equations to solve for unknown variables. In this context, it is used to equate the Fahrenheit and Kelvin conversion formulas and solve for the temperature at which they are equal. This process requires understanding how to isolate variables and perform operations to find the solution.
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Related Practice
Textbook Question
Like the Kelvin scale, the Rankine scale is an absolute temperature scale: Absolute zero is zero degrees Rankine (0°R). However, the units of this scale are the same size as those of the Fahrenheit scale rather than the Celsius scale. What is the numerical value of the triple-point temperature of water on the Rankine scale?
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Textbook Question
Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other.
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Textbook Question
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?
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