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Clausius-Clapeyron Equation - Chemistry LibreTexts
https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Physical_Properties_of_Matter/States_of_Matter/Phase_Transitions/Clausius-Clapeyron_Equation
WebFeb 24, 2023 · where \(P_1\) and \(P_2\) are the vapor pressures at two temperatures \(T_1\) and \(T_2\). Equation \ref{2} is known as the Clausius-Clapeyron Equation and allows us to estimate the vapor pressure at another temperature, if the vapor pressure is known at some temperature, and if the enthalpy of vaporization is known.
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Clausius–Clapeyron relation - Wikipedia
https://en.wikipedia.org/wiki/Clausius%E2%80%93Clapeyron_relation
WebThe Clausius–Clapeyron equation: 509 applies to vaporization of liquids where vapor follows ideal gas law using the specific gas constant and liquid volume is neglected as being much smaller than vapor volume V. It is often used to calculate vapor pressure of a liquid.
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23.4: The Clausius-Clapeyron Equation - Chemistry LibreTexts
https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(LibreTexts)/23%3A_Phase_Equilibria/23.04%3A_The_Clausius-Clapeyron_Equation
WebEquation 23.4.1 is known as the Clausius-Clapeyron equation. We can further work our the integration and find the how the equilibrium vapor pressure changes with temperature: ln(P2 P1) = − ΔHvap molar R [ 1 T2 − 1 T1] Thus if we know the molar enthalpy of vaporization we can predict the vapor lines in the diagram.
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Clausius Clapeyron Equation - Science Notes and Projects
https://sciencenotes.org/clausius-clapeyron-equation/
WebNov 9, 2021 · T 1 = 287.85 K. T 2 = 52.8 °C + 273.15. T 2 = 325.95 K. Next, apply the Clausius Clapeyron equation and solve for P 2: ln (P 1 /P 2) = ΔHvap/R (1/T 2 – 1/T 1) ln [10 torr/P 2] = (47.2 kJ/mol/0.008314 kJ/K·mol) [1/325.95 K – 1/287.85 K] ln [10 torr/P 2] = 5677 (-4.06 x 10 -4) ln [10 torr/P 2] = -2.305.
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Vapor Pressure Calculator | Clausius-Clapeyron Equation
https://www.omnicalculator.com/chemistry/vapor-pressure
Web4 days ago · How to calculate vapor pressure? Let's have a closer look at two vapor pressure equations: the Clausius-Clapeyron equation and Raoult's law. Clausius-Clapeyron equation. The Clapeyron equation states: \frac {dP} {dT} = \frac {H} {T \cdot \Delta V} dT dP = T ⋅ ΔV H. where: \frac {dP} {dT} dT dP. — Derivative of pressure with …
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8.5: The Clausius-Clapeyron Equation - Chemistry LibreTexts
https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(Fleming)/08%3A_Phase_Equilibrium/8.05%3A_The_Clausius-Clapeyron_Equation
WebMay 21, 2023 · dT T2 = −d( 1 T) d T T 2 = − d ( 1 T) makes the integration very easy. If the enthalpy of vaporization is independent of temperature over the range of conditions, ∫p2 p1 dp p = −ΔHvap R ∫T2 T1 d( 1 T) ∫ p 1 p 2 d p p = − Δ H v a p R ∫ T 1 T 2 d ( 1 T) This is the Clausius-Clapeyron equation.
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14: The Clausius-Clapeyron Equation - Physics LibreTexts
https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Heat_and_Thermodynamics_(Tatum)/14%3A_The_Clausius-Clapeyron_Equation
WebAug 23, 2020 · The Clausius-Clapeyron equation then takes the form \[\frac{d T}{d P}=\frac{T\left(V_{2}-V_{1}\right)}{L}.\] For most substances, the specific volume of the liquid ( V 2 ) is greater than the specific volume of the solid ( V 1 ); but for H 2 O, Bi and Ga, V 2 < V 1 and dT / dP is negative.
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Clausius-Clapeyron Equation: Definition, Derivation, & Uses
https://www.chemistrylearner.com/clausius-clapeyron-equation.html
WebThe Clausius-Clapeyron equation is fundamental in thermodynamics and establishes a relationship between the vapor pressure of a substance to its temperature. It provides a valuable understanding of the behavior of substances undergoing phase changes, such as melting and boiling [1-4].
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Clausius-Clapeyron Equation: Vapor Pressure and Temperature …
https://www.jove.com/science-education/11348/clausius-clapeyron-equation-vapor-pressure-and-temperature-relation
WebThe Clausius-Clapeyron equation gives the quantitative relation between a substance’s vapor pressure ( P) and its temperature ( T ); it predicts the rate at which vapor pressure increases per unit increase in temperature.
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The Clausius-Clapeyron Equation - Division of Chemical …
https://chemed.chem.purdue.edu/genchem/topicreview/bp/ch14/clausius.php
WebAccording to this equation, the rate at which the natural logarithm of the vapor pressure of a liquid changes with temperature is determined by the molar enthalpy of vaporization of the liquid, the ideal gas constant, and the temperature of the system.
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