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

In summary, the problem involves a saturated liquid CO2 at T= 293 K and P=5.72*10^6 Pa undergoing throttling to P=1.01*10^5. The resulting solid and vapor mixture is at T = 195 K. The fraction of carbon dioxide that is vaporized can be found by using the equation \frac{dP}{dT} = \frac{L}{T(v^{(f)}-V^{(i)})} and knowing the initial enthalpy (24,200 J/mol) and final enthalpy of the solid (6750 J/mol) and the heat of sublimation at the final temperature and pressure (25,100 J/mol). The
  • #1
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



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

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.
 
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  • #2
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?
 

1. What is the amount of CO2 vaporized during a phase change from liquid to solid and vapor?

The amount of CO2 vaporized during a phase change from liquid to solid and vapor is dependent on several factors, such as temperature, pressure, and the specific properties of the substance. It is not a fixed value and will vary in different situations.

2. How does the amount of CO2 vaporized change with temperature?

The amount of CO2 vaporized increases with temperature, as higher temperatures provide more energy for the molecules to escape into the gas phase. However, at a certain temperature, known as the critical temperature, the amount of CO2 vaporized will remain constant regardless of further increases in temperature.

3. Does pressure have an effect on the amount of CO2 vaporized during a phase change?

Yes, pressure can affect the amount of CO2 vaporized during a phase change. At higher pressures, the molecules are more tightly packed and it becomes more difficult for them to escape into the gas phase. This can result in a lower amount of CO2 vaporized compared to the same substance at a lower pressure.

4. Can the properties of the substance affect the amount of CO2 vaporized during a phase change?

Yes, the properties of the substance, such as its molecular structure and intermolecular forces, can affect the amount of CO2 vaporized during a phase change. For example, substances with strong intermolecular forces, such as hydrogen bonds, will require more energy to break apart and therefore may have a lower amount of CO2 vaporized compared to substances with weaker intermolecular forces.

5. Is the amount of CO2 vaporized during a phase change the same for all substances?

No, the amount of CO2 vaporized during a phase change is not the same for all substances. It is dependent on the specific properties of the substance, as well as the temperature and pressure conditions. Different substances will have different amounts of CO2 vaporized during a phase change, even if they are at the same temperature and pressure.

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