When air enters a compressor at pressure P1 and leaves at pressure P2, the intermediate

Chapter 3, Problem 5

(choose chapter or problem)

When air enters a compressor at pressure \(P_{1}\) and leaves at pressure \(P_{2}\), the intermediate pressure is given by \(P_{3}=\sqrt{P_{1} P_{2}}\). Assume that

\(P_{1}=10.1 \pm 0.3 \mathrm{MP} \text { and } P_{2}=20.1 \pm 0.4 M P\)


a. Estimate \(P_{3}\), and find the uncertainty in the estimate.

b. Which would provide a greater reduction in the uncertainty in \(P_{3}\) : reducing the uncertainty in \(P_{1} \text { to } 0.2 M P a\) or reducing the uncertainty in \(P_{2} \text { to } 0.2 M P R^{2}\)

Equation Transcription:

       

   

     

 

     

   

     

Text Transcription:

P1      

P2    

P3=\sqrt P1P2    

 P1=10.1 \pm 0.3MP and P2=20.1 \pm 0.4MP

P3    

P3  

P1 to 0.2 MPa      

P2 to 0.2MPR2

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