Air, at a pressure of 700 kPa and a temperature of 80°C, flows through a convergent– divergent nozzle. The inlet area is 0.005 m
2 and the pressure on the exit plane is 40 kPa. If the mass flow rate through the nozzle is 1 kg/s, find, assuming onedimensional isentropic flow,
1 answer:
Answer: The complete part of the question is to find the exit velocity
Explanation:
Given the following parameters
Inlet pressure = 700kpa
outlet pressure = 40kpa
Temperature = 80°C = 353k
mass flow rate = 1 kg/s
The application of the continuity and the bernoulli's equation is employed to solve the problem.
The detailed steps and the appropriate formula is as shown in the attached file.
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Answer:
Explanation:
According to the first thermodynamic law, the energy must be conserved so:
Where Q is the heat transmitted to the system, U is the internal energy and W is the work done by the system.
This equation can be solved by integration between an initial and a final state:
(1)
As per work definition:
For pressure the force F equials the pressure multiplied by the area of the piston, and considering dx as the displacement:
Here A*dx equals the differential volume of the piston, and considering that any increment in volume is a work done by the system, the sign is negative, so:
So the third integral in equation (1) is:
Considering the gas as ideal, the pressure can be calculated as , so:
In this particular case as the systems is closed and the temperature constant, n, R and T are constants:
Replacion this and solving equation (1) between state 1 and 2:
The internal energy depends only on the temperature of the gas, so there is no internal energy change , so the heat exchanged to the system equals the work done by the system: