3 thermodynamics

Thermodynamics Flow Chart (Safe Mermaid Text Format)

1. Ideal Gas Laws and Entropy

graph TD A1["pV = nRT"] A2["w_on = -nRT ln(Vf / Vi)"] A3["q_in = nRT ln(Vf / Vi)"] A4["ΔS = nR ln(Vf / Vi)"] A5["ΔS = c ln(Tf / Ti)"] A6["ΔS = ∫ C/T dT"] A1 --> A2 A2 --> A3 A3 --> A4 A5 --> A6

2. Thermodynamic Potentials

graph TD B1["dU = TdS - pdV"] B2["dG = Vdp - SdT"] B3["ΔG = ΔH - TΔS"] B4["ΔH = ΔU + pΔV"] B5["H = U + nRT"] B6["Hm = Um + RT"] B7["Hm / T"] B8["Um / T"] B1 --> B4 B4 --> B3 B5 --> B6 B6 --> B7 B6 --> B8

3. Energy, Work and Heat

graph TD C1["ΔU = q_in - pΔV"] C2["ΔU = q_in + w_on"] C3["w_on = -pΔV"] C4["ΔU = q_v"] C5["ΔH = q_p"] C3 --> C1 C1 --> C2 C1 --> C4 C2 --> C4 C4 --> C5

4. Heat Capacity and Relationships

graph TD D1["q = C ΔT"] D2["C = q / ΔT"] D3["Cv = ΔU / ΔT"] D4["Cp = ΔH / ΔT"] D5["Cp,m = Cv,m + R"] D6["Cs = C / m"] D7["Cm = C / n"] D1 --> D2 D2 --> D3 D2 --> D4 D4 --> D5 D2 --> D6 D2 --> D7