1

ΔS = Sf − Si = ∫fidQT

2

dQ = p dV + nCVdTΔS = nR lnVfVi + nCV lnTfTi

3

ΔSgas = −|Q|TΔSres = +|Q|TΔS ≥ 0 ()

4

|QH| − |QL| = W|QH|TH = |QL|TLΔS = |QH|TH − |QL|TL = 0

5

ε = |W||QH| = 1 − |QL||QH|εC = 1 − TLTHεreal ≤ 1 − TLTH

6

K = |QL||W|KC = |QL||QH| − |QL| = TLTH − TLΔS = −|Q|TL + |Q|TH < 0

7

εX = |W||Q′H| > εC = |W||QH|Q = |QH| − |Q′H| > 0

8

W = N!n1! n2!

9

S = k ln Wln N! ≈ N ln N − N

Where to go next

This page belongs to Physics 1. Later courses in the department take the same ideas much further.