Thermodynamics Polytropic Process Compressor

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A polytropic process in a compressor can involve heat absorption from the environment, contrary to the common belief that compression always releases heat. When the polytropic exponent (n) is greater than the specific heat ratio (γ), heat is absorbed by the working gas, which can occur if the surrounding temperature is higher than that of the refrigerant. The energy input from work done on the gas can lead to an increase in temperature, but if the ambient conditions allow, heat can be transferred to the system. Understanding the relationship between work and heat transfer clarifies how compressors can absorb heat during certain processes. This highlights the importance of temperature differences in thermodynamic systems.
raniero
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I was revising for my course exam and encountered a question in my book (Applied Thermodynamics for Engineering Technologists, p 66 example 3.3) which stated that a compressor follows a polytropic process to compress air; I understood the calculation process which resulted in heat being transferred to the refrigerant. The problem is that I cannot understand how physically a compressor would be absorbing heat from the environment. I always thought that any type of compression would give off heat.

Theoretically I know that for a polytropic process if n=γ the process is adiabatic, if n is smaller than γ heat is given off and if n is bigger than γ heat is received into the working gas (), but I would like to know how this is physically possible.

The question I talked about above is the one in the image below.

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Thanks in advance.
 
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It never went cross my eyes that n has anything to do with heat absorption and heat rejection. Simple is that, when a gas is compressed above its critical temp, its temperature increases. You are giving energy in the form of electricity which is converted into mechanical energy by a piston or impeller,this increases kinetic energy of the fluid.where would this energy go? It would increase its temp.
 
According to the above problem, may be the surrounding temperature is above refrigerant‘s temperature.which caused heat transfer.
 
:-)
Thanks
 
engnr_arsalan said:
According to the above problem, may be the surrounding temperature is above refrigerant‘s temperature.which caused heat transfer.

Maybe that is true, but I'm not sure about it. Thanks :)
 
Energy is transferred to a system either by work or by heat transfer,in above problem they have already found out the portion of energy tranfered by work,rest is heat transfer,which is obviously due to temperature difference.since Q is positive,it means heat is added to the system,thus surrounding/casing temp was greater then refrigerant temp.
 
engnr_arsalan said:
Energy is transferred to a system either by work or by heat transfer,in above problem they have already found out the portion of energy tranfered by work,rest is heat transfer,which is obviously due to temperature difference.since Q is positive,it means heat is added to the system,thus surrounding/casing temp was greater then refrigerant temp.

Oh, okay I understood the idea now. Seems so simple after the explanation, I was blind folded by the fact that a compression always releases heat. Thanks for your input :)
 
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