Thermodynamics of matter under pressure

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In a tank with dry ice under high pressure (150 psi or higher), the introduction of a hotter fluid will increase the tank's temperature. This temperature rise will also elevate the pressure within the closed vessel. The behavior of the dry ice depends on the specific temperature and pressure conditions; if they fall within the blue region of the CO2 phase diagram, the dry ice will melt. Conversely, if the conditions remain in the red region, the dry ice will remain solid. Understanding these phase changes is crucial for predicting the outcome in such scenarios.
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Imagine a tank with dry ice under high pressure, 150 psi or higher. A pipe carrying a fluid (with a freezing point lower than the temperature of the tank) passes through the tank with an initial temperature much higher than the tank.

What will happen to the dry ice? I assume the temperature of the tank will rise because of the hotter fluid passing through. Will the pressure rise as well?
 
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If you raise the temperature of a closed vessel the pressure will go up, no matter what's in it.
 
What will happen to the dry ice?
 
Please look here: pressure-temperature phase diagram of CO2:
http://en.wikipedia.org/wiki/File:Carbon_dioxide_pressure-temperature_phase_diagram.svg"
If conditions are in blue region then dry ice will melt.
In red region will remain solid.
 
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