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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 ?