# Clausius-Clapeyron-ekvationen är en relation uppkallad efter Rudolf Clausius och Benoit Emile Clapeyron. Ekvationen beskriver fasövergången mellan två

The Clapeyron-Clausius equation is a differential equation giving the interdependence of the pressure and temperature along the phase equilibrium curve of a pure substance. This equation was suggested by B. Clapeyron in 1834 and improved by R. Clausius in 1850.

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(The exact relationship is called the Clapeyron equation. A derivation of the Clausius-Clapeyron equation can be found in Section 4.5 of Atkins, Physical Chemistry 9th Ed.) The Clausius-Clapeyron Equation The relationship between the temperature of a liquid and its vapor pressure is not a straight line. The vapor pressure of water, for example, increases significantly more rapidly than the temperature of the system. This behavior can be explained with the Clausius-Clapeyron equation. The Clapeyron-Clausius equation is a differential equation giving the interdependence of the pressure and temperature along the phase equilibrium curve of a pure substance. This equation was suggested by B. Clapeyron in 1834 and improved by R. Clausius in 1850.

, at constant temperature and pressure.

## Jul 16, 2010 Vapor pressure,Clausius-Clapeyron Equation,Temperature,Latent heat,Boiling point,Gas constant.

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### Clausius-Clapeyron equation, which gives the slope of the vapor pressure curve. We could then measure the vapor pressure curve for various substances and compare the measured slope to the Clausius-Clapeyron equation. This can then be viewed as an

Se hela listan på e-education.psu.edu The Clausius-Clapeyron equation is for vapor-liquid or vapor-solid equilibrium and assumes the gas phase is ideal. The Clapeyron equation can be applied to two phases in equilibrium: vapor-liquid, vapor-solid, solid-liquid. The Antoine equation is an empirical fit to vapor pressure versus temperature data. The Clausius-Clapeyron equation represents the relation between pressure and temperature in a two-phase equilibrium and the slope of dp/dT of the curve as well. We have several methods to derive this equation.

Clausius-Clapeyron Equation. Clapeyron Equation.

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Clausius-Clapeyron-ekvationen relaterar Beside this, quite accurate values of the sublimation or vaporization enthalpy were calculated based on the Clausius-Clapeyron equation. This makes TGA a Termodynamik - Termodynamik - Clausius-Clapeyron-ekvationen: Fasförändringar, såsom omvandling av flytande vatten till ånga, ger ett viktigt Clausius-Clapeyron ekvation Exempel Problem - 2021. 2018. Clausius Clapeyron Equation Examples and Practice Problems The calculation algorithm is based on the numerical interpretation of the Clausius-Clapeyron equation where the temperature variation, the volume change and För varje ökad grad i temperatur säger fysiken att luftens fukthalt ska öka med ca 7% (Clausius-Clapeyron equation). Det är också vad som har observerats i Clausius‐Clapeyron equation: ∆ ∘.

If the enthalpy of vaporization is assumed constant over a temperature range, the equation can be integrated to give
The Clapeyron equation becomes: or . which is known as the Clausius-Clapeyron equation. Assume that is constant over a small temperature range, the above equation can be integrated to get, or +constant . Hence, a plot of lnP versus 1/T yields a straight line the slope of which is equal to –(h fg /R).

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It allow us determine the change in enthalpy associated with a phase change. During a phase change, the pressure of the system is equal to the saturation pressure, which depends only in the temperature: While reading about the Clausius Clapeyron equation from the Feynman lectures on Physics, I couldn't understand a few things from its derivation: Although the argument was pretty clear, when the s CLAUSIUS – CLAPEYRON EQUATION UG Course CLAUSIUS – CLAPEYRON equation can be used to explain the relationship between equilibrium transition temperature and pressure during the phase transition of any substance. Learning Goals • Interpret the effect of changes in pressure on equilibrium transition temperatures.

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### Mar 11, 2021 The Clausius-Clapeyron equation allows us to estimate the vapor pressure at another temperature, if the vapor pressure is known at some

If the enthalpy of vaporization is assumed constant over a temperature range, the equation can be integrated to give The Clapeyron equation becomes: or .

## A&OS 101 The Clausius-Clapeyron equation Winter, 2008 – Fovell The Clausius-Clapeyron (C-C) equation can be thought of in terms of the Carnot cycle applied to a water vapor/liquid mixture. The system consists of a plunger-equipped piston ﬁlled with vapor and liquid in equilibrium (i.e., at saturation).

A&OS 101 The Clausius-Clapeyron equation Winter, 2008 – Fovell The Clausius-Clapeyron (C-C) equation can be thought of in terms of the Carnot cycle applied to a water vapor/liquid mixture. The system consists of a plunger-equipped piston ﬁlled with vapor and liquid in equilibrium (i.e., at saturation).

Simply put, this equation is used to determine Heat of Vaporization of a liquid given 2 vapor pressures and 2 temperatures.