Thermodynamics formulas

28 relations, each one a node in the derivation graph. Every symbol carries a declared base dimension, so every one of them can be checked.

• Adiabatic Process Pressure-Volume Relation — P2 = P1·(V1/V2)^gamma
• Average Translational Kinetic Energy — KE = (3/2)·k_B·T
• Boltzmann Entropy — S = kB·ln(Ω)
• Carnot Efficiency — η_C = 1 - Tc/Th
• COP (Refrigerator) — COP_R = Q_c / W
• COP (Heat Pump) — COP_HP = Q_h / W
• Heat Engine Efficiency — η = W_out / Q_in
• Enthalpy — H = U + P·V
• Entropy Change of an Ideal Gas (Isothermal) — dS = n·R·ln(V2/V1)
• Entropy Change (Reversible, Isothermal) — ΔS = Q / T
• First Law of Thermodynamics — dU = Q - W
• Gibbs Free Energy — G = H - T·S
• Heat Capacity Relation — Q = m·c·ΔT
• Convective Heat Current (Newton's Law of Cooling) — dQdt = h·A·dT
• Ideal Gas Internal Energy (Monatomic) — U = (3/2)·n·R·T
• Ideal Gas Law — P·V = n·R·T
• Pressure from Kinetic Theory — P = (1/3)·ρ·v^2
• Latent Heat — Q = m·L
• Mean Molecular Speed — v_mean = sqrt(8·k_B·T / (pi·m))
• Heat from Molar Heat Capacity — Q = n·C·dT
• Most Probable Molecular Speed — v_p = sqrt(2·k_B·T / m)
• Root-Mean-Square Molecular Speed — v_rms = sqrt(3·k_B·T / m)
• Heat Capacity at Constant Pressure (Mayer's Relation) — Cp = Cv + n·R
• Heat Capacity at Constant Volume (Monatomic) — Cv = (3/2)·n·R
• Stefan–Boltzmann Law (Radiated Power) — P = ε·σ·A·T^4
• Thermal Conduction (Steady State) — Qdot = k·A·ΔT / L
• Linear Thermal Expansion — dL = alpha·L0·dT
• Wien's Displacement Law — λ_max = b / T

Derive through any of them in the explorer — no account needed.