+2 votes
in Mathematics by kratos

A 1-ft3 tank, that is initially evacuated is connected by a valve to an air supply line flowing air at 70 F, 120 lbf/in.2. The valve is opened, and air flows into the tank until the pressure reaches 90 lbf/in.2. Determine the final temperature and mass inside the tank, assuming the process is adiabatic. Develop an expression for the relation between the line temperature and the final temperature using constant specific heats.

1 Answer

+6 votes
by kratos
 
Best answer

C.V. Tank:

Continuity Eq. m2 = mi

Energy Eq. m2u2 = mi hi

u2 = hi = 126.78 Btu/lbm

⇒ T2 = 740 R

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