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2.2: Adiabatic and Isothermal Processes

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Among the various types of thermodynamic processes possible, there are two very important ones. These are the adiabatic and isothermal processes. An adiabatic process is one in which there is no supply of heat to the body undergoing change of thermodynamic state. In other words, the body is in adiabatic isolation. An isothermal process is a thermodynamic change where the temperature of the body does not change.

The thermodynamic variables involved in the change can be quite general; for example, we could consider magnetization and the magnetic field, surface tension and area, or pressure and volume. For a gas undergoing thermodynamic change, the relevant variables are pressure and volume. In this case, for an adiabatic process, since dQ=0,

dUCvdT=pdVd(U+pV)CpdT=Vdp

From these, we find

γdVV+dpp=0

Generally γ can depend on temperature (and hence on pressure), but if we consider a material (such as the ideal gas) for which γ is a constant, the above equation gives

pVγ=constant

This is the equation for an adiabatic process for an ideal gas.

If we consider an isothermal process for an ideal gas, the equation of state gives

pV=nRT=constant


This page titled 2.2: Adiabatic and Isothermal Processes is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by V. Parameswaran Nair via source content that was edited to the style and standards of the LibreTexts platform.

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