When Does Water Completely Vaporize in a Constant Volume Process?

AI Thread Summary
The discussion centers on determining the temperature at which a 5 kg mixture of saturated liquid-vapor water completely vaporizes in a fixed volume of 2.5 m³, starting from an initial temperature of 75 ºC. The calculated temperature for complete vaporization is 140.7 ºC. The participant struggles with drawing the temperature-specific volume diagram, initially placing the starting point within the dome-shaped region of the phase diagram. They conclude that the final state is a saturated vapor and realize that temperature changes occur due to varying pressure, suggesting a straight line on the diagram from the initial to final state. This understanding clarifies the relationship between temperature, pressure, and specific volume in the process.
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Homework Statement


5 kg of a mixture of saturated liquid-vapor water is in a container of fixed volume 2,5 m3. Initially the temperature is 75 ºC and then the water is heated.
a) Find the temperature at which the water is completely vaporized.
b) Draw the temperature-specific volume diagram.

The Attempt at a Solution


a) Is easily solved from the tables and I've found a temperature of 140,7 ºC.

b) Here I am completely at a loss... From what I can understand from the problem, initially the process begins somewhere inside the "dome shaped" region.
The specific volume is constant and equals 0,5 m3/kg, which lies between Vf and Vg for 75ºC. I put a red dot where I think the process begins... is it right?
But now... how can we get to the final state? I think the final state is a saturated vapor state... is it right?
Because specific volume is constant, I put a blue dot where I think the final state is... but how can the temperature change inside the dome shaped region??

Many thanks!
 

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oh... I think I got it! Temperature changes because pressure is not constant... So the diagram should be a straight line from red to blue dot. Is this okay?
 
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