MAE 204 Lecture Notes - Lecture 16: Clausius Theorem, Statistical Mechanics, Differential Form

• School: University at Buffalo
• Department: Mechanical & Aerospace Engr
• Course: MAE 204
• Professor: Salac David

Document Summary

Maximum thermal efficiency, nth max: reversibility does the cycle show any effects after completion magnitude of irreversiblity relates to heat transfer. In the limit of heat transffer between objects at hte same temperature, the process is reversible. Thermodynamic temperture scale: a scale when the numeric value, do not depend on the substance being used to measure it. We know that ql and qh depend on tl and th. Say that ql / qh = f(tl,th) ---unknow fuction. Goal: find f(a,b) look at 3 heat engine between 3 thermal resorvor all are reversilbe. Now look at q1/q2 = f(t1,t2) q2/q3 = f(t2,t3) Thus f(t1,t2) f(t2,t3) = f(t1,t2) not all function work for this. Q: can f(a,b) = cos(a)sin(b)?-----------no cos(t1)sin(t2)cos(t2)sin(t3) = cos(t1)sin(t3) For all t1,t2 and t3? make an ansatz (educated guess that is proved true) f(a,b) = (a)/ (b) Loard kelvin stated that (t) = t so then q1/q2 = t1/t2.