Adiabatic Process: Understanding & Deriving Help

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An adiabatic process in thermodynamics is defined as one where no heat is transferred within the system. During this process, if a gas expands, its temperature decreases, and if it compresses, its temperature increases. Compared to isothermal processes, adiabatic expansion results in a faster drop in pressure per volume change. The adiabatic gas law relates pressure and volume to heat capacity, which varies with the gas type. A question raised in the discussion pertains to whether the same heat capacity can be used for additional compression after performing a heat exchange to return the gas to its original temperature.
vjk2
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I'm having a hell of a time understanding this. Can anyone give me a hand? How is it derived? etc?
 
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vjk2 said:
I'm having a hell of a time understanding this. Can anyone give me a hand? How is it derived? etc?

You mean, how is it defined? It's a term with a definition. An adiabatic process (in thermodynamics, anyway) is one in which no heat is transferred between the various parts of the system undergoing the process.

Cheers -- sylas
 
Adiabatic process means no heat is transferred and therefore if volume increases temperature of the gas will decrease or; if it expands the gas gets cooler and if it compresses it gets hotter.

This also means, compared to a temperature constant process- isothermal process- if the gas expands adiabatically it will drop in pressure faster per change in volume, and it will increase in pressure faster when volume decrease.

To figure these use adiabatic gas law pressure volume to the power of heat capacity. Heat capacity is a fraction comprising (the energy to increase temperature of gas given constant pressure) / (energy to increase temperature given constant volume). This constant changes with the gas.

At Wikipedia under Ideal Gas Law There is a chart of different forms of adiabatic gas laws to get pressure 2 volume 2 or temperature 2 given original data. Isentropic is same as adiabatic
on chart.

WWW.wikipedia.org/wiki/Ideal_gas_law

Since your talking about adiabatic processes I've got a question. If you compress a gas adiabatically then preform a heat exchange process to bring back to original temperature can you use same heat capacity to figure an additional compression?
 
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