What is Clausius-clapeyron: Definition and 14 Discussions

The Clausius–Clapeyron relation, named after Rudolf Clausius and Benoît Paul Émile Clapeyron, is a way of characterizing a discontinuous phase transition between two phases of matter of a single constituent. The relevance to climatology is that the water-holding capacity of the atmosphere increases by about 7% for every 1 °C (1.8 °F) rise in temperature.

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  1. FoFi_Olli

    I Calculating Entropy & Enthalpy: SRK, Wilson, Antoine & Clausius-Clapeyron

    I would like to calculate the entropy or enthalpies (steam, specific and inner energy) using the SRK [suave-redlich-kwong] equation, the Wilson approximation and (if necessary) the Antoine equation. and the Clausius-Clapeyron equation for a mixture of 0.199 mol/l nitrogen and 0.811 mol/l carbon...
  2. S

    I Understanding the Clausius-Clapeyron Formula: V_{l} and V_{g}

    Hey, I have a question about the meaning of a variable in the Clausius-Clapeyron formula. My textbook (Daniel v. Schroeder) says that the Clausius-Clapeyron formula is (for phase boundary between liquid and gas) \frac{dP}{dT} = \frac{L}{T\left(V_{g} - V_{l} \right)} . What is V_{l} or V_{g}...
  3. M

    Clausius-Clapeyron equation and absorbed heat

    In working out the Clausius-Clapeyron equation in an elementary method, we usually consider the work done in a Carnot cycle, built with two isothermobarics at ##p## , ##T## and ##p- dp##,##T-dT## pressures and temperatures and two adiabatics, as ##\mathcal{L} = dp(V_g - V_\ell)##, where ##V_g##...
  4. WhiteWolf98

    Clausius-Clapeyron equation to estimate sublimation pressure of water

    Before this question, the questions were about the Clapeyron equation, and how to estimate ##\Delta s##. I'm completely put off by this question however, and don't know where to start. I've found that the triple point of water is at ##0.01°C##, and there is indeed data in the table for...
  5. G

    The Clausius-Clapeyron relation to study pressure cookers

    The Clausius-Clapeyron formula is given by \frac{d P}{d T} = \frac{L}{T \Delta V} where P and T are the pressure and temperature at the boiling point, respectively, and L is the latent heat per mole at the boiling point, and \Delta V is the change in the volume per mole between the gas and...
  6. S

    Approximations behind Clausius-Clapeyron....

    Someone who can explain me what approximations there is behind the Clausius-Clapeyron equation or know a good webside where i can read about it. thanks in advance
  7. E

    How to apply the Clausius-Clapeyron to geysers

    Hi first post so forgive any break in widely accepted conduct, Currently involved in a physics competition one of the question is to investigate geysers. Time and time again I have stumbled upon reference to Clausius-Clapeyron relation. Probably the best source I have come across is a youtube...
  8. U

    Clausius-Clapeyron phase question

    Homework Statement Part (b): Find the temperature in which the pressure is twice the atmospheric pressure. Homework Equations The Attempt at a Solution I've done every part except part (b). Part (b) \Delta v \approx v_{gas} = \frac{RT}{p m'} Therefore the clausis-clapeyron equation...
  9. G

    Clausius-Clapeyron equation and water

    Homework Statement Using the Clausius-Clapeyron equation, determine the slope of dp/dT for water-ice I equilibrium and explain why you can skate on ice but not on solid argon. Homework Equations Clausius-Clapeyron equation The Attempt at a Solution I know what the...
  10. S

    Clausius-Clapeyron equation and enthelpy

    Homework Statement Use the Clausius-Clapeyron equation and \DeltaHsub = \DeltaHfus +\DeltaHvap at the triple point to show that the slope of solid-gas P-T coexistence curve is greater than the slope of the liquid-gas coexistence curve. Homework Equations Clausius-Clapeyron: 1/P...
  11. C

    Clausius-Clapeyron equation help

    I know that the relationship between pressure and temperature for an ideal gas is linear. The relationship between vapor pressure and temperature for a liquid, however, is exponential. To make it linear we take the natural log and end up with: \ln P = -\frac{\Delta H_{vap}}{RT} + b . How did we...
  12. C

    Clausius-Clapeyron equatioin's constant for methanol

    Hi everyone! I'm searching for the constants in Clausius-Clapeyron equation lnP=A-C/T I'ld like to know the value of A and C. (for Pressure unity is hPa and Temperature is K ) Thanks
  13. Reshma

    How Does the Clausius-Clapeyron Equation Explain Temperature Changes in Liquids?

    The Clausius-Clapeyron equation is given by: \frac{dP}{dT}=\frac{LJ}{T(V_2-V_1)} dP is the change in pressure dT is the change in temperature L is the Latent heat of fusion/vaporisation T absolute temperature of substance V_2-V_1 is the change in volume J is heat constant What is...
  14. S

    Clausius-Clapeyron Equation, and Cubic Unit Cells

    1. Acetone has normal boiling point of 56.5 oC, and heat of vaporization of 32.0 kJ/mol. Find the boiling point at 580 mmHg. 2. Given element, its structure and density, find its atomic radius in pm. Cr, body centered cubic, 7.19 g/mL. Well, as for question 1, I'm totally stumped...
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