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JasonHathaway
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Homework Statement
Q1- 0.15 kg of air (Ideal) compressed in a polytropic process (PV1.5=C) from 0.06 m3 to 0.01 m3. If the initial pressure was 0.25 MPa. Determine:
1- The initial temperature and the final pressure.
2- The work done during the process.
Homework Equations
P1 V1 = m R T
P1 V11.5= P2V21.5=C
W1-2= (P2V2 - P1V1)/(1-n)
The Attempt at a Solution
P2= P1(V1/V2)1.5= 0.25*103(0.06/0.01)1.5
P2=3674.23 kPa --> The final pressure
T1= (P1V1)/(mR)=(0.25*103*0.06)/(0.15*0.287)
T1=348.43 K --> The initial temperature
W1-2= (P2V2 - P1V1)/(1-n) = (3674.23*0.01 - 0.25*103*0.06)/(1-1.5)
W1-2= -43.48 Kj --> The work during the process