Woops! I made a typo. As usual, my issue boils down to simple errors. When I look at it again, I see that
dH = dU + pdV + Vdp = δQ - δW +pdV + Vdp = δQ + Vdp + (pdV - δW) = δQ + Vdp
since δW = pdV (pressure-volume work). Which is exactly as it should be and explains where the missing pdV went.
This is actually explained fairly well by a comparison to the Fourier representation of a function. A Fourier series decomposes a repeating signal into a range of frequencies and can assign more linear values to them. If you google graphs of them, you can see what I mean. Sound is a repeating...
Hello! I understand what specific heats are and how to derive them. I just feel that I'm missing a little something in the methodology.
Consider the 1st law of thermodynamics and the definition of enthalpy:
1) dU = δQ -δW = δQ - PdV
2) H = Q - VP
For the derivation of CV, dV = 0 and the...
Hello! I'm Kori, an American university student in England. I got my BS in applied math/statistics, and am now studying computational fluid dynamics (CFD) for my MSc course.
I'm new to dynamics, but not so much in the realm maths. Hopefully we'll be able to help each other with understanding...