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Heat & thermodynamics formulas

20 formulas for Heat & thermodynamics, from the Physics — Formulas section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

NameFormulaNote
HeatQ = mcΔT 🧮 Solve step by stepJ
Latent heatQ = mL 🧮 Solve step by stepJ
Linear expansionΔL = αLΔT 🧮 Solve step by step
Volume expansionΔV = γVΔT, γ = 3α 🧮 Solve step by step
Ideal gas lawPV = nRT = Nk_BT 🧮 Solve step by step
Kinetic theory — pressureP = ⅓ρv²_rms 🧮 Solve step by step
RMS speedv_rms = √(3RT/M) 🧮 Solve step by stepm/s
Average KE per moleculeKE = (3/2)k_BT 🧮 Solve step by stepJ
Heat conductionQ/t = kAΔT / L 🧮 Solve step by stepW
Stefan–Boltzmann lawP = σAeT⁴ 🧮 Solve step by stepW
Wien's lawλ_max T = b 🧮 Solve step by step
Newton's law of coolingdT/dt = −k(T − T₀)
First law of thermodynamicsΔU = Q − W 🧮 Solve step by stepW done by the system
Work (isobaric)W = PΔV 🧮 Solve step by stepJ
Work (isothermal)W = nRT ln(V₂/V₁) 🧮 Solve step by stepJ
Adiabatic processPV^γ = constant; W = (P₁V₁ − P₂V₂)/(γ − 1) 🧮 Solve step by step
Mayer's relationC_p − C_v = R 🧮 Solve step by step
Carnot efficiencyη = 1 − T_c/T_h 🧮 Solve step by step
Coefficient of performance (fridge)COP = T_c/(T_h − T_c) 🧮 Solve step by step
Entropy changeΔS = Q/T 🧮 Solve step by stepJ/K

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