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A pressure vessel has a total volume of 1 liter which is 3/4 filled with liquid

ID: 2993947 • Letter: A

Question

A pressure vessel has a total volume of 1 liter which is 3/4 filled with liquid water and 1/4 filled with water vapor as heating begins from an initial pressure of 100 kPa. As the heating continues the volume occupied by the liquid increases continuously until the vessel is entirely filled with liquid at which point the heating process is complete.


(4-A) Find the temperature and pressure of H2O in the vessel when the vessel is entirely filled with liquid,

(4-B) Draw a T-v diagram showing and labeling the axes, the saturated liquid and the saturated vapor lines, the critical point and compressed liquid, liquid + vapor mixture, and superheated vapor regions, the initial state and the final state, and the heating process, and

(4-C) estimate the heat added (kJ) from the beginning until the end of the heating process.

Explanation / Answer

It can't happen. When critical conditions of temperature and pressure are reached there will be no liquid surface in the vessel and the vessel will contain only water or only steam (call it what you will) but this cannot be referred to as either liquid or vapour. There are no phases any more.


Critical conditions: T > 373.946

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