Solution Found!
Transient AnalysisA 1 m3 tank initially contains air at
Chapter 4, Problem 127P(choose chapter or problem)
A \(1 \mathrm{\ m}^{3}\) tank initially contains air at 300 kPa, 300 K. Air slowly escapes from the tank until the pressure drops to 100 kPa. The air that remains in the tank undergoes a process described by \(p v^{1.2}=\text { constant }\). For a control volume enclosing the tank, determine the heat transfer, in kJ. Assume ideal gas behavior with constant specific heats.
Questions & Answers
QUESTION:
A \(1 \mathrm{\ m}^{3}\) tank initially contains air at 300 kPa, 300 K. Air slowly escapes from the tank until the pressure drops to 100 kPa. The air that remains in the tank undergoes a process described by \(p v^{1.2}=\text { constant }\). For a control volume enclosing the tank, determine the heat transfer, in kJ. Assume ideal gas behavior with constant specific heats.
ANSWER:Step 1 of 3
We have to determine the heat transfer for a control volume enclosing the tank
The mass rate balance equation for the given control volume can be written as
So ,the energy rate balance equation is
Since the process occurs slowly, the state of the air in the tanks is uniform at any time .
Thus , and
Hence , the energy rate balance equation becomes
Thus,
