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 Calc15th EditionUniversity PhysicsISBN: 9780135159552
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Table of contents
- Ch 01: Units, Physical Quantities & Vectors37
- Ch 02: Motion Along a Straight Line57
- Ch 03: Motion in Two or Three Dimensions45
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws54
- Ch 06: Work & Kinetic Energy11
- Ch 07: Potential Energy & Conservation6
- Ch 08: Momentum, Impulse, and Collisions15
- Ch 09: Rotation of Rigid Bodies37
- Ch 10: Dynamics of Rotational Motion44
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics27
- Ch 13: Gravitation34
- Ch 14: Periodic Motion26
- Ch 15: Mechanical Waves22
- Ch 16: Sound & Hearing28
- Ch 17: Temperature and Heat28
- Ch 18: Thermal Properties of Matter35
- Ch 19: The First Law of Thermodynamics29
- Ch 20: The Second Law of Thermodynamics18
- Ch 21: Electric Charge and Electric Field28
- Ch 22: Gauss' Law21
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF24
- Ch 26: Direct-Current Circuits29
- Ch 27: Magnetic Field and Magnetic Forces16
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction22
- Ch 30: Inductance14
- Ch 31: Alternating Current20
- Ch 33: The Nature and Propagation of Light17
- Ch 34: Geometric Optics29
- Ch 35: Interference13
- Ch 36: Diffraction19
- Ch 37: Special Relativity19
- Ch 38: Photons: Light Waves Behaving as Particles12
- Ch 39: Particles Behaving as Waves25
- Ch 40: Quantum Mechanics I: Wave Functions20
- Ch 41: Quantum Mechanics II: Atomic Structure21
- Ch 42: Molecules and Condensed Matter17
- Ch 43: Nuclear Physics13
- Ch 44: Particle Physics and Cosmology17
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552Not the one you use?Change textbook
Chapter 17, Problem 6b
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
Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other.
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Textbook Question
A geodesic dome constructed with an aluminum framework is a nearly perfect hemisphere; its diameter measures 55.0 m on a winter day at a temperature of -15°C. How much more interior space does the dome have in the summer, when the temperature is 35°C?
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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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