
The first law of thermodynamics is a formulation of the law of conservation of energy in the context of thermodynamic processes. The quantities that appear in this law are internal energy, heat, and work. The equation for the first law of thermodynamics is ΔU = Q − W, where ΔU is the change in internal energy of a system, Q is the net heat transfer, and W is the net work done. This law applies to a wide range of systems, including gases, liquids, solids, and even biological organisms.
| Characteristics | Values |
|---|---|
| Internal energy | ΔU, U, Δe, e |
| Heat | Q, q, δq, δQ |
| Work | W, w, δw, δW |
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What You'll Learn

Internal energy
The first law of thermodynamics, also known as the law of conservation of energy, states that the total energy of a closed system is conserved. It relates the changes in internal energy of a system to the amount of work done on the system and the heat transferred to or from the system.
The internal energy of a system can be changed by the amount of work done adiabatically on it, considering work as a form of energy. The internal energy of a phase in equilibrium is a function of state, and the sum of the internal energies of the phases is the total internal energy of the system.
The change in the internal energy of a system is the sum of the heat transferred and the work done. This can be expressed mathematically as:
\[ \\Delta U_{univ}=ΔU_{sys}+ΔU_{surr}=0 \]
Where the subscripts univ, sys, and surr refer to the universe, the system, and the surroundings, respectively. Thus, the change in energy of a system is identical in magnitude but opposite in sign to the change in energy of its surroundings.
The first law of thermodynamics helps to categorise the performance of cyclic conversion systems like fossil-fired or steam power cycles. It is a fundamental principle of physics with a wide range of applications, including gases, liquids, solids, and even living organisms.
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Heat
The first law of thermodynamics, also known as the law of conservation of energy, states that energy can be converted from one form to another, but it cannot be created or destroyed. This law distinguishes two principal forms of energy transfer: heat and thermodynamic work.
The first law of thermodynamics applies to a wide range of systems, including mechanical devices, biological organisms, gases, liquids, and solids. It provides a fundamental understanding of the interactions between heat, work, and internal energy in these systems.
In summary, heat is a crucial concept in the first law of thermodynamics, representing one of the two principal forms of energy transfer. It is the transfer of thermal energy between bodies at different temperatures, and its quantity depends on the specific path or process followed by the system.
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Work
The first law of thermodynamics is a formulation of the law of conservation of energy in the context of thermodynamic processes. It defines the internal energy of a system, accounting for the balance of heat transfer, thermodynamic work, and matter transfer into and out of the system.
The first law of thermodynamics states that the change in internal energy of a system is equal to the net heat transfer into the system minus the net work done by the system. In equation form, this is expressed as ΔU = Q − W, where ΔU is the change in internal energy, Q is the net heat transfer, and W is the net work done.
The internal energy of a system increases when heat increases, such as by adding heat to the system, or when work is done on the system. Conversely, the internal energy of a system decreases if the system gives off heat or does work.
An example of work in the context of the first law of thermodynamics is the expansion of steam in a turbine. As the steam expands, it does work as it exerts an upward force and displaces the lid of the pot.
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Energy conservation
The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed, only converted from one form to another. This law applies to systems where heat transfer and work are the methods of transferring energy into and out of the system. The total energy of a closed system is conserved, and the change in internal energy of a system equals the net heat transfer into the system minus the net work done by the system.
The first law of thermodynamics is a fundamental principle of physics with broad applicability, from gases to living organisms. It defines and distinguishes two principal forms of energy transfer: heat and thermodynamic work. Heat is the transfer of thermal energy between two bodies at different temperatures, and it is not equal to thermal energy. Work, on the other hand, is the force used to transfer energy between a system and its surroundings, and it is necessary for creating heat and transferring thermal energy. Both heat and work are forms of energy in transition, appearing at the boundary of the system without being contained within the matter.
The internal energy of a system, on the other hand, resides within the matter. It is a function of state, and its value depends on the state of the system rather than the path taken to reach that state. This internal energy can be changed by the amount of adiabatic work done on the system, as work is considered a form of energy. The change in internal energy of a system can be calculated using the equation ΔU = Q − W, where ΔU is the change in internal energy, Q is the net heat transfer, and W is the net work done.
The first law of thermodynamics was first explicitly stated by Rudolf Clausius in 1850, building on the experimental work of Mayer and Joule. Clausius expressed the law in terms of a differential equation, stating that the increment in internal energy in a closed system is equal to the difference between the heat accumulated and the thermodynamic work done. This law has been further refined and expressed in various forms, including Carathéodory's 1909 version, which refrained from defining the quantity of heat transferred.
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Temperature
The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed in a closed system, but can only be converted from one form to another. This law relates the various forms of kinetic and potential energy in a system to the work performed by the system and the transfer of heat.
The first law of thermodynamics applies to various systems, including gases, liquids, solids, and even biological organisms. In the case of a gas in a cylinder with a frictionless piston at a constant temperature, the gas absorbs heat (q) and performs work (w) by expanding. The increase in the internal energy (ΔU) of the gas is equal to the heat added minus the work done by the gas. This relationship between heat, work, and internal energy is described by the equation ΔU = q - w.
The internal energy of a system is a state function and is dependent on the temperature of the system. It represents the total kinetic and potential energy of the particles within the system. The first law of thermodynamics states that the change in internal energy of a system is equal to the sum of the heat added to the system and the work done on the system. This law also applies to systems with constant temperatures, where the heat supplied is converted into work while maintaining the internal energy balance.
It is important to note that the first law of thermodynamics does not explicitly define temperature. Instead, it focuses on the relationship between internal energy, heat, and work. The temperature is implied through the concept of heat transfer and the changes in state variables, such as volume and pressure, during a thermodynamic process.
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Frequently asked questions
The first law of thermodynamics states that energy can be converted from one form to another, but it cannot be created or destroyed. The quantities that appear in this law are internal energy, heat, and work.
The formula for the first law of thermodynamics is ΔU = Q − W, where ΔU is the change in internal energy, Q is the net heat transfer, and W is the net work done.
Internal energy refers to the total kinetic and potential energy of all atoms and molecules in a system. It is a function of macroscopic quantities such as pressure, volume, and temperature.
Heat and work are forms of energy in transition that appear at the boundary of a system. The first law of thermodynamics states that the change in internal energy of a system is equal to the net heat transfer into the system minus the net work done by the system.











































