Amount of CO2 vaporized in a phase change from liquid to solid & vapor

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SUMMARY

The discussion focuses on calculating the fraction of carbon dioxide vaporized during a phase change from liquid to solid and vapor. The initial conditions are saturated liquid CO2 at 293 K and 5.72 MPa, which undergoes throttling to 1.01 MPa, resulting in a mixture at 195 K. Key values include the enthalpy of the saturated liquid (24,200 J/mol), the enthalpy of the saturated solid (6,750 J/mol), and the heat of sublimation (25,100 J/mol). The challenge lies in determining the change in enthalpy during throttling and the enthalpy of the final vapor.

PREREQUISITES
  • Understanding of phase changes in thermodynamics
  • Knowledge of enthalpy calculations for different states of matter
  • Familiarity with the Clausius-Clapeyron equation
  • Basic principles of throttling processes in thermodynamic systems
NEXT STEPS
  • Study the Clausius-Clapeyron equation for phase transitions
  • Learn about enthalpy changes during throttling processes
  • Investigate the properties of carbon dioxide under varying temperature and pressure conditions
  • Explore heat of sublimation and its implications in phase change calculations
USEFUL FOR

This discussion is beneficial for students and professionals in thermodynamics, particularly those studying phase changes and enthalpy calculations in gases and liquids.

doombanana
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Homework Statement



Saturated liquid CO2 is at T= 293 K and P=5.72*10^6 Pa and undergoes throttling to P=1.01*10^5. The resulting solid and vapor mixture is at T = 195 K. What fraction of the carbon dioxide is vaporized? (The enthalpy of the saturated liquid in the initial state is 24,200 J/mol, and the enthalpy of the saturated solid in the final state is 6750 J/mol. The heat of sublimation at the final temperature and pressure is 25,100 J/mol.)


Homework Equations



\frac{dP}{dT} = \frac{L}{T(v^{(f)}-V^{(i)})}

The Attempt at a Solution



I am really unsure of how to go about this problem. Using the equation above, I can find expressions for vaporization, sublimation, and freezing, but I don't know the heat of vaporization or any of the initial or final volumes. Any help would be greatly appreciated.
 
Physics news on Phys.org
What is the change in enthalpy during a throttling operation? If the enthalpy of the solid in the final state is 6750 J/mole, and the heat of sublimation under the final state conditions is 25100 J/mole, what is the enthalpy of the final vapor in J/mole?
 

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