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Turbines, Compressors, ExpandersTwo steady flows of air
Chapter 4, Problem 89HP(choose chapter or problem)
Problem 89HP
Turbines, Compressors, Expanders
Two steady flows of air enter a control volume, as shown in Fig. P4.89. One is a 0.025 kg/s flowat 350 kPa, 150°C, state 1, and the other enters at 450 kPa, 15°C, state 2. Asingle flowexits at 100 kPa,−40°C, state 3. The control volume ejects 1 kW heat to the surroundings and produces 4 kW of power output. Neglect kinetic energies and determine the mass flow rate at state 2.
FIGURE P4.89
Questions & Answers
QUESTION:
Problem 89HP
Turbines, Compressors, Expanders
Two steady flows of air enter a control volume, as shown in Fig. P4.89. One is a 0.025 kg/s flowat 350 kPa, 150°C, state 1, and the other enters at 450 kPa, 15°C, state 2. Asingle flowexits at 100 kPa,−40°C, state 3. The control volume ejects 1 kW heat to the surroundings and produces 4 kW of power output. Neglect kinetic energies and determine the mass flow rate at state 2.
FIGURE P4.89
ANSWER:
Solution 89 HP:
Step 1 of 2:-
Here we have to find the mass flow rate for state 2.
The mass flow rate for 1 flow is,
.
The pressure and temperature are,
.
.
The 2nd flow has a pressure of,
.
.
At state 3,
.
.