prove that : ∆h = ∆e +p∆v
Answers
Answer:
At a constant pressure, the equation for change in internal energy, ∆U = q + w can be written as
∆U = qP – p∆V
Where qP represents the heat absorbed by the system at a constant pressure and – p∆V is the expansion work done due to the heat absorbed by the system.
We can write the above equation in terms of initial and final states of the system as:
UF – UI = qP –p(VF – VI)
Or qP = (UF + pVF) – (UI + pVI)
Enthalpy H can be given by H = U + PV. Substituting it in the above equation, we get:
qP = HF – HI = ∆H
Hence, change in enthalpy ∆H = qP, which is the heat absorbed by the system at a constant pressure.
At constant pressure, we can also write,
∆H = ∆U + p∆V
Some pointers to be kept in mind:
In exothermic reactions, heat from the system is lost to the surrounding. For such reactions, ∆H is negative.
In endothermic reactions, heat is absorbed by the system from the surroundings. For such reactions, ∆H is positive.
Answer:
Step-by-step explanation: