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Chapter 1: Problem 3

What is the caloric theory? When and why was it abandoned?

Short Answer

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Answer: The caloric theory was abandoned in the mid-19th century due to several factors, including experimental evidence from Count Rumford and James Prescott Joule, the discovery of the first law of thermodynamics, and advances in kinetic theory. These scientific discoveries and advances collectively showed that heat is a form of energy related to the motion of particles within a substance, and not an invisible fluid substance as previously believed. This new understanding of heat replaced the outdated caloric theory.

Step by step solution

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1. Understanding the Caloric Theory

Caloric theory is a historical theory in thermodynamics, which stated that heat was a self-repellent fluid known as "caloric." This invisible fluid was believed to flow from hotter objects to colder ones, creating a sensation of warmth or coldness during the flow. The caloric theory was prominent from the 18th century up until the mid-19th century.
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2. When was the Caloric Theory Abandoned?

The caloric theory was mainly abandoned in the mid-19th century. This transition took place as new scientific discoveries provided strong evidence against the caloric theory, leading to the development of a new understanding of heat.
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3. Reasons for Abandonment

The caloric theory was abandoned due to several factors, including: - Experimental evidence from Count Rumford and James Prescott Joule: In the late 18th century, Count Rumford observed that heat was produced during the mechanical process of boring cannons. This observation went against the caloric theory, which suggested that heat was a fluid substance, rather than a form of energy. Likewise, James Prescott Joule's experiments in the mid-19th century demonstrated that heat could be generated through work, supporting the idea that heat was a form of energy rather than a fluid substance. - Discovery of the first law of thermodynamics: This law established the relationship between heat, work, and energy, indicating that heat was a form of energy and not an invisible substance. The discovery of this law further put the caloric theory into question and contributed to its abandonment. - Advances in kinetic theory: The development of kinetic theory revealed that heat could be understood as the result of the motion of molecules within a substance. This understanding provided an additional explanation for the transfer and generation of heat that contradicted the idea of caloric as a fluid substance. As a result of these scientific discoveries and advances, the caloric theory was replaced by the understanding that heat is a form of energy that could be converted into other forms and is related to the motion of particles within a substance.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Thermodynamics
Thermodynamics is a branch of physics that deals with the relationships between heat, work, and energy. As a fundamental science, it defines macroscopic variables, such as temperature, energy, and entropy, and forms the basis of understanding how energy transforms and transfers between systems. It operates on the principle that energy cannot be created or destroyed, only changed in form, a concept vital for numerous scientific and engineering applications, from engines to ecosystems.

At the core of thermodynamics is the intuitive notion that there's a measurable quantity called temperature, which provides an axis to gauge the direction of heat flow naturally from hot to cold. This reflects everyday experiences, such as feeling the warmth of the sun or the coolness of a breeze. Thermodynamics gives us formalism through laws to predict how heat exchange leads to changes in physical properties of materials and systems.
History of Heat Transfer

The Shift from Caloric Theory to Energy-based Understanding

Exploring the history of heat transfer uncovers a significant shift in scientific perspective during the 18th and 19th centuries. Initially, the caloric theory proposed that an invisible fluid, caloric, was responsible for heat transfer, embodying a materialistic view of heat. This viewpoint held sway in scientific circles until a series of experiments illustrated the flaws in this theory. The observations by Count Rumford and later quantitative experiments by James Prescott Joule set the stage for a radical paradigm shift. They showed that heat could be related to mechanical work, dispelling the idea of a heat 'substance.'

With these findings, the concept of heat evolved to align with the broader, more robust framework of energy which led to the acceptance that heat was a form of energy transfer. This transition was not abrupt but resulted from cumulative evidence that contradicted the caloric theory and augmented by theoretical developments in areas such as the kinetic theory of gases.
First Law of Thermodynamics
The first law of thermodynamics, often considered the principle for the conservation of energy, states that the energy within a closed system must remain constant. It could be summarized by the equation \[\Delta E = Q - W\], where \(\Delta E\) represents the change in internal energy of the system, \(Q\) is the heat added to the system, and \(W\) is the work done by the system. This scientific milestone carried immense implications for our understanding of heat transfer as it emphatically severed the ties with the discredited caloric theory.

Put simply, the law affirms that energy can be exchanged between a system and its surroundings in the form of heat or work, and it is the very interplay of these two forms that sustains processes in physics, chemistry, biology, and engineering. The discovery and acceptance of the first law signified a leap forward in physics and laid the foundation for the second and third laws, providing a comprehensive framework for the study of energy interactions.

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Most popular questions from this chapter

Eggs with a mass of \(0.15 \mathrm{~kg}\) per egg and a specific heat of \(3.32 \mathrm{~kJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}\) are cooled from \(32^{\circ} \mathrm{C}\) to \(10^{\circ} \mathrm{C}\) at a rate of 200 eggs per minute. The rate of heat removal from the eggs is (a) \(7.3 \mathrm{~kW}\) (b) \(53 \mathrm{~kW}\) (c) \(17 \mathrm{~kW}\) (d) \(438 \mathrm{~kW}\) (e) \(37 \mathrm{~kW}\)

A hollow spherical iron container with outer diameter \(20 \mathrm{~cm}\) and thickness \(0.2 \mathrm{~cm}\) is filled with iced water at \(0^{\circ} \mathrm{C}\). If the outer surface temperature is \(5^{\circ} \mathrm{C}\), determine the approximate rate of heat loss from the sphere, in \(\mathrm{kW}\), and the rate at which ice melts in the container. The heat of fusion of water is \(333.7 \mathrm{~kJ} / \mathrm{kg}\).

The deep human body temperature of a healthy person remains constant at \(37^{\circ} \mathrm{C}\) while the temperature and the humidity of the environment change with time. Discuss the heat transfer mechanisms between the human body and the environment both in summer and winter, and explain how a person can keep cooler in summer and warmer in winter.

Consider a 150-W incandescent lamp. The filament of the lamp is \(5-\mathrm{cm}\) long and has a diameter of \(0.5 \mathrm{~mm}\). The diameter of the glass bulb of the lamp is \(8 \mathrm{~cm}\). Determine the heat flux, in W/ \(\mathrm{m}^{2},(a)\) on the surface of the filament and \((b)\) on the surface of the glass bulb, and (c) calculate how much it will cost per year to keep that lamp on for eight hours a day every day if the unit cost of electricity is \(\$ 0.08 / \mathrm{kWh}\).

A 3-m-internal-diameter spherical tank made of 1 -cm-thick stainless steel is used to store iced water at \(0^{\circ} \mathrm{C}\). The tank is located outdoors at \(25^{\circ} \mathrm{C}\). Assuming the entire steel tank to be at \(0^{\circ} \mathrm{C}\) and thus the thermal resistance of the tank to be negligible, determine \((a)\) the rate of heat transfer to the iced water in the tank and \((b)\) the amount of ice at \(0^{\circ} \mathrm{C}\) that melts during a 24 -hour period. The heat of fusion of water at atmospheric pressure is \(h_{i f}=333.7 \mathrm{~kJ} / \mathrm{kg}\). The emissivity of the outer surface of the tank is \(0.75\), and the convection heat transfer coefficient on the outer surface can be taken to be \(30 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). Assume the average surrounding surface temperature for radiation exchange to be \(15^{\circ} \mathrm{C}\).
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