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The textbook also nicely points out that this is the equation of a straight line if you plot ln(P), y, vs. 1/T, x, and the slope, m, is equivalent to −ΔH vap/R. This equation is the Clausius-Clapeyron equation named after the German physicist Rudolf Clausius (1822 - 1888) and the French engineer Emil Clapeyron (1799 - 1864). Clausius-Clapeyron equation to extrapolate the results from a small number of phase-equilibrium experiments to construct a pressure-temperature phase diagram for some petrologically useful metamorphic reactions. Metamorphic reactions and the Clausius-Clapeyron equation Consider a metamorphic reaction such as: SiO 2 + CaCO 3 Õ CaSiO 3 + CO 2 The Clausius-Clapeyron Equation: dp dt = ΔH T Δ V The equation applies to any two phases α and β (solid, liquid or gaseous).