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

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A quasistatic process is characterized by changes that occur slowly enough for the system to remain in equilibrium. The first law of thermodynamics for such a process is expressed as dH = δQ + Vdp, where dH represents the change in enthalpy. In quasistatic conditions, the change in pressure (dp) is small and can often be neglected, leading to the simplification dH = δQ. However, it is important to note that dp is not always zero; in cases like quasistatic adiabatic expansion, the pressure changes must be accounted for, resulting in ΔH not equating to ΔQ unless the internal gas pressure remains constant. Understanding these nuances is crucial for accurately applying thermodynamic principles in quasistatic processes.
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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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