Elementary Principles 477

# Elementary Principles 477 - 11.7 a A plot of D(log scale vs...

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11- 6 11.7 a. A plot of D (log scale) vs. t (rectangular scale) yields a straight line through the points ( t = 1 week, D = 2385 kg week ) and ( t = 6 weeks, D = 755 kg week ). ln ln ln ln . ln ln ln . . . . Db t a Da e b DD tt aD b t a e De bt t =+ ⇔= = = =− = + = = = E = 21 11 8007 0230 755 2385 61 2385 0 230 1 8 007 3000 3000 bg b g b g b. Inventory balance: Accumulation = –output dI dt e tI t == 3000 01 8 0 0 0 . ,, kg week kg dI e dt I e I e I t t t t t 18 000 0 0 0 230 3000 18 000 3000 0 230 4957 13 043 , .. . , . , z z ⇒− = ⇒= + −− c. =∞⇒ = 4957 kg 11.8 a. Total moles in room: N 1100 m K 10 mol 295 K 22.4 m STP mol 33 3 273 45 440 , Molar throughput rate: ± , n 700 m K min 295 K 22.4 m STP mol min 3 273 28 920 SO balance 2 ( t = 0 is the instant after the SO 2 is released into the room): Nx mol mol SO mol mol SO in room
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