# What is Clapeyron: Definition and 21 Discussions

Benoît Paul Émile Clapeyron (French: [klapɛʁɔ̃]; 26 January 1799 – 28 January 1864) was a French engineer and physicist, one of the founders of thermodynamics.

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1. ### Density of a solid and Clapeyron equation

So i think i am missing something pretty dumb, but anyway: $$|\Delta P_{ressure}| = \rho_{s} g \Delta H$$ Claperyon equation: $$\frac{\Delta P}{\Delta T} = \frac{\Delta L_{m}}{\Delta V_{m} T}$$ Equally both: $$|\rho_{s}| = \frac{|\Delta T \Delta L_{m}|}{|\Delta H \Delta V_{m} g T|}$$ My...
2. ### Pressure in a bomb calorimeter at the moment of combustion

First, I calculated the number of moles of glucose. n = m / M n = 1.8 / 180 n = 0.01 moles of glucose So I checked the combustion reaction. 1 C6H12O6 + 6 O2 -> 6 CO2 + 6 H20 1 + 6 -> 6 + 6 0.01 + 0.06 -> 0.06 + 0.06 I considered the number of moles at the end of the reaction. I subtracted...

4. D

### Specific heat in the curve of equilibrium

Homework Statement Consider a system formed by two phases of a substance that consists of a single class of molecules. Determine the specific heat ##c## of a vapor pressure and temperature ##p## ##T## on the curve of liquid-vapor equilibrium. Consider the steam as an ideal gas. Data: ##c_p##...
5. ### Finding Mole Fractions in a Two-Phase Equilibrium System

Hello everyone, I'm doing revision for a final exam in Thermodynamics and i found this exercise i can't solve: A particular material has a latent heat of vaporization Δh, constant along the coexistence curve. One mole of this material exists in two.phase (liquid-vapor) equilibrium in a...
6. ### B How to measure the area of a Clapeyron diagram (pV diagram)?

The question is in the title. However my mathematical ability is limited as I am a high school student. Thank you in advance
7. ### Fork pushed into ice (thermodynamics, clausius clapeyron)

Homework Statement A person (mass 57.8 kg) tries to penetrate a garden fork (mass 1 kg) into a melting block of ice by standing on it with all his/her weight. Assume that no heat flows from the fork to the ice. The fork has four prongs, and each prong has a square cross section of area 1 mm2 ...
8. ### Reversible Clapeyron cycle efficiency

Homework Statement The Clapeyron cycle efficiency is similar to the Carnot cycle except that two adiabatic paths are replaced with isobaric processes a) based on the above information, draw a Clapeyron cycle. b)Derive the efficiency of the reversible Clapeyron cycle Homework...
9. ### How Does Temperature Affect Water Vapor Pressure?

Homework Statement Determine the vapor pressure of water at 50 degrees C. The molar heat of vaporization of water is 40.7 kJ/mol. Homework Equations Clausius-Clapeyron equation. The Attempt at a Solution P1 = 760 mm Hg T1 = 373 K P2 = ? T2 = 323 K ln (P2/760) = ln P2 - ln 760 =...
10. ### Clausius clapeyron problem - i have spent 3 hours on this problem

spent 3 hours on this, getting nowhere find the change in transition temperature, given: P1,P2,T1,ΔH,density (mixed so gives d1 of metal 1 and d2 of metal 2,atomic weight Tried solving for T1 then for ΔT simply saying ΔT = (T1 - T2) , but its clearly not correct and i haven't made use of...
11. ### Calculating Enthelpy of Vaporization using Clapeyron Equation

Hi everyone. I am having a problem that hopefully someone here can help me with. For the purposes of flash calculations, I’m trying to find the enthalpy of vaporization of a compound using the Antoine equation and Clapeyron equation. I am using heptane at 15.5597 psia as an example. For the...
12. ### What Units Should Pressure Be in for the Clausius Clapeyron Equation?

Homework Statement Trying to figure out the boiling point for a substance using this equation. I have 3 temperatures along with the pressure at those three temperatures. Homework Equations lnP=−ΔHvap/RT+b The Attempt at a Solution Ok, so obviously a plot of ln(P) vs. (1/T) gives you a...
13. ### Latent heat and Clapeyron equation

Homework Statement Here there is another problem from callen which I couldn't finish. It says: It is found that a certain liquid boils at a temperature of 95ºC at the top of a hill, whereas it boils at a temperature of 105º at the bottom. The latent heat is 1000cal/mole. What is the...
14. ### Clapeyron Equation and the triple point (Thermo)

Homework Statement Hi there. I was trying to solve this problem from Callen. It says: In the vecinity of the triple point the vapor pressure of liquid ammonia (in Pascals) is rerpesented by: \ln P=24.38-\frac{3063}{T} This is the equation of the liquid-vapor boundary curve in a P-T...
15. ### Clausius Clapeyron Equation of lead

Homework Statement When lead is melted at atmospheric pressure the melting point is 327.0 degrees C, the density decreases from 1.101 x 10^4 to 1.065 x 10^4 kg/m^3 and the latent heat is 24.5 kJ/kg. Estimate the melting point of lead at a pressure of 100 atm. Homework Equations...
16. ### Latent Heat and Clapeyron Equation Manipulation

Hi, I just want to double check if the following is valid. However, I would just like to give you the context of my questions. Basically, I am passing a wire through ice, then I'm trying to figure out how an increase in mass (therefore force) affects the velocity at which the wire goes...
17. ### Solve Clausius Clapeyron Eqn for Vapor Pressure @95C

It has been years scene I have taken a math class and I need help to see if I am setting the equation up correctly and if I have solved the problem correctly. Diethyl ether has ∆Hvap of 29.1kJ/mol and a vapor pressure of 0.703 atm at 25.0 C. What is its vapor pressure at 95.0 C? I converted...
18. ### Is my calculation ok? - clausius clapeyron eq.

I would like to calculate isosteric heat of adsorption (H). I have a series of adsorption isotherms for different temperatures and it appears that the adsorption increases with increasing temperature. This suggests that the process is endothermic. Using Clausius Clapeyron law, the slope of 1/T...
19. ### How Do You Calculate Heat of Vaporization Using the Clausius Clapeyron Equation?

Homework Statement slope: -8.000 x 10^3 K The graph is of ln vapor pressure of a gas vs. invert kelvin temperature Using the Clausius Clapeyron equation, find Hvap (heat of vaporization) Homework Equations Clausius Clapeyron equation: ln P= (-delta Hvap/R)*(1/T) + C The Attempt...
20. ### What is the Delta H in the Clausius Clapeyron equation?

Hi I am stuck on this question. I am given the slope of a ln vapor pressure vs. invert kelvin temp equals -8.000 x 10^3 K. I am supposed to find delta H (or the heat of vaporization). If anyone could help that would be great!
21. ### Why is Clapeyron Equation Positive for Most Materials?

why's it positive for most materials?