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A vertical cylinder fitted with a piston contains 5 kg of
Chapter 3, Problem 173HP(choose chapter or problem)
Problem 173HP
A vertical cylinder fitted with a piston contains 5 kg of R-410a at 10°C, as shown in Fig. P3.173. Heat is transferred to the system, causing the piston to rise until it reaches a set of stops, at which point the volume has doubled. Additional heat is transferred until the temperature inside reaches 50°C, at which point the pressure inside the cylinder is inside the cylinder is 1.4 MPa.
a. What is the quality at the initial state?
b. Calculate the heat transfer for the overall process.
FIGURE P3.173
Questions & Answers
QUESTION:
Problem 173HP
A vertical cylinder fitted with a piston contains 5 kg of R-410a at 10°C, as shown in Fig. P3.173. Heat is transferred to the system, causing the piston to rise until it reaches a set of stops, at which point the volume has doubled. Additional heat is transferred until the temperature inside reaches 50°C, at which point the pressure inside the cylinder is inside the cylinder is 1.4 MPa.
a. What is the quality at the initial state?
b. Calculate the heat transfer for the overall process.
FIGURE P3.173
ANSWER:
Solution 173 HP:
Step 1 of 2:-
The amount of R-410 a present inside the cylinder is,
.
The initial temperature was,
.
After gaining the heat, the final volume is 2 times the initial.
Additional heat supply makes the final temperature of the system to be,
.
Then the pressure inside is,
.
a)
Here we have to find the quality at the initial state.
In the first process, the pressure and volume both are constant.
In the final process, the volume gets doubled.
So, .
Here we can use the table values of R-410a.
.
.
Now, .
So, .
.
So, the quality is 27%.