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Design a cylinder to compress 68 degree Farenheit air

Design a cylinder to compress 68 degree farenheit air from atmospheric pressure to 200 psig without increasing the temperature more than 25 degrees farenheit. Show cylinder dimensions and discuss how far the piston must travel.

Solution Preview

See attached graph.

Because,
P1 = atmospheric pressure = 14.7 psi
P2 = 200 psig (psi puage) = 200 +14.7 psi = 214.7 psi
T1 = 68 degree F = 273 + (5/9)*(68-32) = 293 K
T2 <= 68+25 F = 273 + (5/9)*(68+25 - 32)
=> T2 <= 307 K,
Now,
Gas law:
P1*V1/T1 = P2*V2/T2
=> 14.7 * ...

Solution Summary

The solution shows the formulas and calculations to arrive at the answer. A graph is also included.

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