Energy req'd to compress a gas?

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To compress air from 100ml to 50ml or 25ml, the energy required depends on the initial pressure and the method of compression. The pressure doubles when the volume is halved, leading to a pressure of 29.4 psi at 50ml. The energy required for compression lies between two extremes: isothermal compression, which occurs slowly and maintains temperature, and adiabatic compression, which happens rapidly and generates heat. Understanding these concepts is crucial for calculating the energy needed for gas compression. The discussion highlights the importance of pressure-volume relationships in thermodynamics.
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Hi, I am trying to figure out how much energy would be required to compress air from 100ml
volume to 50ml, and also to 25ml volume...

A nudge in the right direction would be great!

Thank you! :)
 
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Work is force times distance. Pressure is force per unit area. Pressure times volume of a gas is a constant. Enough of a nudge?
 
So if the volume were initially 100 ml and the pressure is 14.7 psi then when compressed to 1/2 the volume, would the pressure then be 14.7 * 2 = 29.4 psi?
 
The answer will liie between two extremesThe minimum energy is when the gas is compressed isothermally [infinitely slowly ]and the maximum when it is compressed adiabatically[infinitely rapidly].
 
Could you explain isothermally and adiabatically?
 

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