Thermodynamics: Clapeyron and Clausius-Clapeyron equations, color-coded derivations скачать в хорошем качестве

Thermodynamics: Clapeyron and Clausius-Clapeyron equations, color-coded derivations

00:15 Introduction 00:34 Definition of chemical potential μ 00:59 Definition of molar entropy 𝘚ₘ 01:17 Definition of molar volume 𝘝ₘ 01:52 Exact differential dG 02:20 Replace each term by its molar equivalent 02:40 Two (2) phases are in equilibrium if their chemical potentials μ are equal 03:05 Two (2) phases are in equilibrium if their dμ are equal 03:25 Substitute 02:20 into 03:05 04:06 Combine like terms on each side 04:28 Divide each side by 𝘛 (𝘝 ₘ₂ - 𝘝 ₘ₁) 05:11 Definition of entropy 05:38 Substitute 05:11 into 04:28 05:53 Multiply each side by 𝘛 and integrate 06:10 Solve integrals 07:02 Assume 𝘛₁ and 𝘛₂ very close 07:31 Apply assumption 07:49 Clapeyron equation 08:09 Assume ideal gas behavior 09:30 Substitute expression for 𝘝ₘ 09:49 Integrate each side 11:06 Clausius-Clapeyron equation Color-coded, step-by-step derivation of the Clapeyron equation and the Clausius-Clapeyron equation. Don't forget to like, comment, share, and subscribe!