Heat transferred during an infinitesimal quasi static process of an ideal gas

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Homework Statement


Show that the heat transferred during an infinitesimal quasi static process of an ideal gas can be written as

dQ = (Cv/nR)(VdP) + (Cp/nR)(PdV)
where dQ = change in heat
Cv= heat capacity while volume is constant
n= number of moles of gas
R= ideal gas constant
Cp= heat capacity while pressure is constant
V = volume, dV = change in volume
P= Pressure, dP = change in pressure



Homework Equations





The Attempt at a Solution


Alright so this I honestly had no idea how to start since this is a quasi-static process
We must use these equations

dQ= Cv*dT + PdV
dQ= Cp*dT - VdP

where dT is change in temperature since this is not adiabatic we cannot rule out temperature

Any suggestions where to go from here ?
 

Answers and Replies

  • #2
ehild
Homework Helper
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We must use these equations

dQ= Cv*dT + PdV
dQ= Cp*dT - VdP

where dT is change in temperature since this is not adiabatic we cannot rule out temperature

Any suggestions where to go from here ?
Find dT by equating the equations for dQ.

ehild
 

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