Thermodynamics

Thermodynamics Flow Chart (Mermaid.js + LaTeX)

graph TD A1["$w_{on} = -nRT \\ln\\left(\\frac{V_f}{V_i}\\right)$"] A2["$q_{in} = nRT \\ln\\left(\\frac{V_f}{V_i}\\right)$"] A3["$\\Delta S = nR \\ln\\left(\\frac{V_f}{V_i}\\right)$"] B1["$\\Delta S = c \\ln\\left(\\frac{T_f}{T_i}\\right)$"] B2["$\\Delta S = \\int \\frac{C}{T} dT$"] C1["$dG = \\left(\\frac{\\partial G}{\\partial p}\\right)_T dp + \\left(\\frac{\\partial G}{\\partial T}\\right)_p dT$"] C2["$dG = V dp - S dT$"] C3["$dU = TdS - pdV$"] C4["$pV = nRT$"] D1["$dG = dU + pdV + Vdp - TdS - SdT$"] D2["$\\Delta G = \\Delta H - T \\Delta S$"] D3["$\\Delta H = \\Delta U + p \\Delta V$"] D4["$\\Delta U = q_{in} - p \\Delta V$"] D5["$\\Delta U = q_{in} + w_{on}$"] D6["$w_{on} = -p \\Delta V$"] D7["$\\Delta U = q_V$"] D8["$\\Delta H = q_p$"] D9["$q = C \\Delta T$"] D10["$C = \\frac{q}{\\Delta T}$"] E1["$C_V = \\frac{\\Delta U}{\\Delta T}$"] E2["$C_p = \\frac{\\Delta H}{\\Delta T}$"] E3["$C_{p,m} = C_{V,m} + R$"] F1["$C_s = \\frac{C}{m}$"] F2["$C_m = \\frac{C}{n}$"] F3["$H = U + nRT$"] F4["$H_m = U_m + RT$"] F5["$\\frac{H_m}{T}$"] F6["$\\frac{U_m}{T}$"] %% Arrows and Substitutions A1 --> A2 A2 --> A3 B1 --> B2 C1 --> C2 C2 --> D1 C3 --> D1 C4 --> D1 D1 --> D2 D2 --> D3 D3 --> D4 D4 --> D5 D5 --> D6 D4 --> D7 D3 --> D8 D9 --> D10 D10 --> E1 D10 --> E2 E2 --> E3 D10 --> F1 D10 --> F2 D3 --> F3 F3 --> F4 F4 --> F5 F3 --> F6