How Can You Calculate the Temperature-Dependent Heat Capacity of Ethyl Acetate?

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SUMMARY

The discussion focuses on calculating the temperature-dependent heat capacity of Ethyl Acetate using the equation Cp = A + BT + CT² + DT⁻². The user seeks coefficients for this equation within the temperature range of 298.15K to 373.15K at a pressure of 1 bar. A contributor mentions a computerized database that contains relevant values but requires conversion from English to metric units. Coefficients for a related equation Cp = α + βT + γT² are provided, with α = 7.235, β = 0.4072, and γ = 2.092E-04, useful for further calculations.

PREREQUISITES
  • Understanding of thermodynamic equations, specifically heat capacity equations.
  • Familiarity with temperature and pressure units, particularly Kelvin and bar.
  • Knowledge of curve fitting techniques for data analysis.
  • Basic principles of reaction equilibria and the extended van't Hoff equation.
NEXT STEPS
  • Research the use of computerized databases for thermochemical properties, focusing on Ethyl Acetate.
  • Learn about curve fitting methods to derive coefficients from experimental data.
  • Study the relationship between enthalpy, internal energy, and heat capacity in thermodynamics.
  • Explore the extended van't Hoff equation and its applications in reaction equilibria.
USEFUL FOR

Chemical engineers, thermodynamic researchers, and students studying reaction equilibria and heat capacity calculations will benefit from this discussion.

sicjeff
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I need the heat capacity Ethyl Acetate as a function of temperature. I've seen books that give heat capacity as a function of functional group, but the problem is they are only at one temperature. What I basically need is some coefficients that would fit into the equation Cp= A +BT+CT^2+DT^-2. For this capacity, I can approximate Ethyl Acetate as a liquid operating from 298.15K to approximately 373.15K (I know this isn't realistic because the boiling point of ethyl acetate is around 350.25K).

I have already checked Perry's Handbook and other various thermochemical fluid properties texts, but I still can't find anything.

Thanks for any assistance you can give me.
 
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Hi sicjeff,
Can you be more specific? What pressure and what temperature range to you need?
 
Thanks for responding. I am running my reaction at temperature ranges of 298.15-373.15 K and my pressure will be in the area of 1 bar.
 
Hi sicjeff,
I have a computerized database that has these values in it, but it doesn't give equations. You can print out values and then do a curve fit though. Also, the database is in English units, so you'll need to convert to metric.

I'm assuming you mean a pressure of 1 bara, not 1 barg. If you need it for 1 barg, I can simply change the value and give you the same spreadsheet if you'd like.

At 1 bara, it shows a saturation temperature of roughly 170.85 F which is where the disjoint is in the spreadsheet.

Hope that helps.
 

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sicjeff,
I'm not sure what you're using this for, but I suspect you're working out the equation so you can integrate it and determine the change of state between two temperatures, such as by adding X amount of heat.

You might consider simply using enthalpy and internal energy directly instead. They're generally much easier to work with IMO. Coming up with an equation for U or H as a function of temperature is just as easy as Cp.
 
Actually I'm doing reaction equillibria with the extended van't Hoff equation. Thank you so very much for your assistance.

Can I get the name of the database you are using if you don't mind?
 
If we say Cp=α+βT+γT^2 and Cp=a +bT+cT^-2, combined, we get your equation Cp=A+BT+CT^2+DT^-2. (Intro. to Chemical Engineering, Pavia, pp 127)

Since I couldn’t find coefficients for your derived formula, I looked up the coefficients of Cp=α+βT+γT^2. Basically Coefficient α = 7.235; Coefficient β= 0.4072; Coefficient γ =2.092E-04. Units of Cp are in kJ/kg-mol , Temperature in Kelvins.
http://www.cheric.org/kdb/kdb/hcprop/showcoef.php?cmpid=1059&prop=CPG

You see that there is another coefficient (Coefficient D), if Cp=α+βT+γT^2 was extended to another higher power.
 
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