When air enters a compressor at pressure P1 and leaves at pressure P2, the intermediate pressure is given by Assume that P1 = 10.1 ± 0.3 MPa and P2 = 20.1 ± 0.4 MPa.
a. Estimate P3, and find the uncertainty in the estimate.
b. Which would provide a greater reduction in the uncertainty in P3: reducing the uncertainty in P1 to 0.2 MPa or reducing the uncertainty in P2 to 0.2 MPa?
Step1 of 3:
The intermediate pressure in a compressor is given that .Here, and 20.1 Mpa.
We have to findThe estimate , and the uncertainty in the estimate.Which would provide a greater reduction in the uncertainty in : reducing the uncertainty in to 0.2 Mpa or reducing the uncertainty in to 0.2 Mpa.
Step 2 of 3:
Here it is given that the intermediate pressure of a compressor P3= .
Mpa which means and the uncertainty . which means , and the uncertainty .
So the intermediate pressure
= 0.5 1.410
= 0.5 0.7088
So the uncertainty in the estimate is
= 0.25 Mpa
Therefore the estimate of the intermediate pressure is (14.24 0.25) Mpa. and the uncertainty in the estimate is 0.25 Mpa.