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Unformatted text preview: 3-103 Equations
Set 7: 3-103 A gas is confined to one side of a rigid, insulated container divided by a partition. The other side is initially evacuated. The following data are known for the initial state of the gas: P=5 [bar], T=500 [K] and V=0.2 [m3 ]. When the partition is removed the gas expands to fill the entire container which has a total volume of 0.5 [m3 ]. Assuming ideal gas behavior, determine the final pressure, in bar. System: Entire apparatus including gas and vacuum chamber Q - W = U Q=0 W =0 T1 = T2 energy balance on container (1) (2) (3) (4) (5) (6) (7) (8) (9) insulated rigid required since DELTAU = 0 and u depends only on T for an ideal gas intial pressure initial temperature initial volume final volume ideal gas behavior P1 = 5 [bar] T1 = 500 [K] V1 = 0.2 m3 V2 = 0.5 m3 P1 V1 V2 = P2 T1 T2 $TabStops 0.2 3.0 in Solution
U = 0 [Btu] Q = 0 [Btu] W = 0 [Btu] Arrays
Row 1 2 Pi [bar] 5 2 Ti [K] 500 500 Vi m3 0.2 0.5 ...
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- Spring '07