Solution Found!
Using p ? v ? T DataOne kg of water initially is at the
Chapter 3, Problem 30P(choose chapter or problem)
One kg of water initially is at the critical point.
(a) If the water is cooled at constant-specific volume to a pressure of \(30 \mathrm{bar}\), determine the quality at the final state.
(b) If the water undergoes a constant-temperature expansion to a pressure of \(30 \mathrm{bar}\), determine the specific volume at the final state, in \(\mathrm{m}^3 / \mathrm{kg}\).
Show each process on a sketch of the T-v diagram.
Questions & Answers
QUESTION:
One kg of water initially is at the critical point.
(a) If the water is cooled at constant-specific volume to a pressure of \(30 \mathrm{bar}\), determine the quality at the final state.
(b) If the water undergoes a constant-temperature expansion to a pressure of \(30 \mathrm{bar}\), determine the specific volume at the final state, in \(\mathrm{m}^3 / \mathrm{kg}\).
Show each process on a sketch of the T-v diagram.
ANSWER:a.)
Step 1 of 4
We have to determine the quality at the final state of one kg of water initially which is at the critical point and it is cooled at constant-specific volume to a pressure of 30 bar.
The quality at final state can be determined using the equation,
Where,
quality =
volume in liquid phase
volume in vapour phase
average specific volume
or
Now, the initial state of the water is in critical point .So from the Table A-2 available in the book Fundamentals of Engineering Thermodynamics, 7th Edition . The pressure and the specific volume
at critical point are equal to
M Pa and
3.155
m3/kg