Quasistatic Process Explained: What is dH=δQ+Vdp?

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The discussion centers on the quasistatic process in thermodynamics, specifically analyzing the equation dH = δQ + Vdp. It is established that during a quasistatic process, the change in pressure (dp) is typically very small and can often be ignored, leading to the simplification dH = δQ. However, it is clarified that dp is not always zero; in cases like quasistatic adiabatic expansion, the pressure decreases continuously, necessitating the inclusion of the integral term ∫VdP to accurately determine ΔH, thus ΔH ≠ ΔQ unless the internal gas pressure remains constant.

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sphyics
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What is Quasistatic process?

the first law of thermodynamics for a quasitatic process:

dH = δQ + Vdp ------> A


if it is quasi static dp should be very small which can be ignored and hence dH = δQ

so how come the equation "A" holds true for a quasi static process.
 
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sphyics said:
What is Quasistatic process?

the first law of thermodynamics for a quasitatic process:

dH = δQ + Vdp ------> A


if it is quasi static dp should be very small which can be ignored and hence dH = δQ

so how come the equation "A" holds true for a quasi static process.
the dP in your equation is the change in pressure of the gas, not the difference between the internal and external pressures. In a quasi-static process dP is not necessarily 0.

For example, in a quasi-static adiabatic expansion, the pressure is constantly decreasing so you have to take into account the ∫VdP term to find the ΔH. So in that case ΔH ≠ ΔQ.

ΔH = ΔQ only if the internal gas pressure is constant during the process.

AM
 

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