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Chapter 18: Problem 14

What is thermal equilibrium?

Short Answer

Expert verified
Thermal equilibrium is when two or more objects at the same temperature exchange no net heat energy.

Step by step solution

01

Understanding Thermal Equilibrium

Thermal equilibrium is a condition where two or more objects in thermal contact with each other exchange no net heat energy. This occurs when the objects have reached the same temperature and no longer transfer energy between them.
02

Analyzing Energy Transfer

Whenever two objects at different temperatures come into contact, heat transfers from the hotter object to the colder one. This process continues until the temperatures equalize.
03

Reaching Equilibrium

Once the temperatures of the two objects are equal, they have reached thermal equilibrium. At this point, there is no net flow of heat energy between the objects, even though they may continue to exchange energy equally.
04

Identifying Conditions for Thermal Equilibrium

For thermal equilibrium to occur, all objects in contact must not be isolated from each other and must be allowed to exchange heat. Also, no external energy changes (like work done by or on the system) should occur that might alter the temperatures.
05

Conclusion

Thermal equilibrium is achieved when all objects involved have the same temperature, resulting in no net heat exchange between them. This is a fundamental concept in thermodynamics, demonstrating the tendency of energy to balance out in a system.

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Key Concepts

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

Heat Transfer
Heat transfer is the movement of thermal energy from one object to another. This happens when objects of different temperatures come into contact. The energy flows from the warmer object to the cooler one. However, this isn't random. It's guided by the second law of thermodynamics which states that heat flows spontaneously from hot to cold until equilibrium is reached. The primary modes of heat transfer are:
  • Conduction: Direct transfer through a medium, requiring contact between particles.
  • Convection: Transfer through a fluid (liquid or gas) facilitated by the fluid's movement.
  • Radiation: Transfer via electromagnetic waves, which can occur in a vacuum without direct contact.
Understanding these modes helps in analyzing how thermal equilibrium is approached and achieved in various systems.
Temperature Equalization
Temperature equalization occurs when heat transfer between objects results in a uniform temperature across those objects. This is an essential step towards reaching thermal equilibrium. When two objects are at different temperatures, the natural tendency is for energy to distribute evenly:
  • The hotter object loses heat, cooling down.
  • The cooler object gains heat, warming up.
This exchange continues until both objects reach the same temperature. Once this happens, all parts of the system are in harmony, with no single part having a different temperature than any other. This balance is crucial for achieving thermal equilibrium.
Thermodynamics Concepts
The principles of thermodynamics provide a scientific framework for understanding heat, work, and energy. A few key concepts are vital in grasping thermal equilibrium:
  • First Law of Thermodynamics: Often referred to as the conservation of energy, this law implies that energy cannot be created or destroyed, only transformed or transferred.
  • Second Law of Thermodynamics: It states that systems tend to move towards a state of greater disorder, and during this process, heat naturally flows from hot to cold.
These laws underpin why and how systems reach thermal equilibrium. The drive towards equilibrium highlights nature's tendency to balance energy distributions, demonstrating intricate connections in the universe.
Energy Balance
Energy balance refers to the equilibrium achieved when energy input equals energy output, essential for maintaining stable states in physical systems. In the context of thermal equilibrium, this means that the energy exchanged as heat between objects is perfectly balanced. Where:
  • No net energy transfer exists between objects in thermal contact.
  • All changes in energy within the system are accounted for, with no external influences disrupting this balance.
Achieving energy balance is crucial because it reflects a point where all energies within the system are stable. Understanding this helps highlight the interconnectedness of energy flows and their natural tendency to settle into a harmonious state.

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Most popular questions from this chapter

Imagine that you have 50 \(\mathrm{g}\) of water and 50 \(\mathrm{g}\) of methanol, each in a 100 \(\mathrm{mL}\) beaker. You place both on a hot plate on low heat. a. Which sample will be at a higher temperature after 5 min? Explain your thinking. b. If the initial temperature of each liquid is \(23^{\circ} \mathrm{C},\) what is the temperature of each after 25 cal of energy are transferred from the hot plate to each sample?

Describe three ways in which fire is central to life on our planet.

You mix solid hydrated barium hydroxide, \(\mathrm{Ba}(\mathrm{OH})_{2} \cdot 8 \mathrm{H}_{2} \mathrm{O}(s),\) and solid ammonium nitrate, \(2 \mathrm{NH}_{4} \mathrm{NO}_{3}(s),\) in a beaker. The reaction is shown here. A small pool of water in contact with the outside of the beaker freezes. $$ \mathrm{Ba}(\mathrm{OH})_{2} \cdot 8 \mathrm{H}_{2} \mathrm{O}(s)+2 \mathrm{NH}_{4} \mathrm{NO}_{3}(s) \longrightarrow 2 \mathrm{NH}_{3}(g)+10 \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}(a q) $$ a. List all the substances that are part of the system. b. List at least four objects that are part of the surroundings. c. Which is at a lower temperature: \(\mathrm{NH}_{4} \mathrm{NO}_{3}(s)\) or Ba \(\left(\mathrm{NO}_{3}\right)_{2}(a q) ?\) Explain your thinking. d. What will you feel if you touch the beaker? e. Is the reaction endothermic or exothermic? Explain your thinking. f. What evidence do you have that heat is transferred from the surroundings to the products of the reaction?

What is specific heat capacity? Give the specific heat capacity of a substance, and explain what that means in terms of that substance.

What is specific heat capacity? Give the specific heat capacity of a substance, and explain what that means in terms of that substance.
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