ME300Lecture13

# ME300Lecture13 - Lecture 13: Ideal Gas Mixture, Part 2...

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13.1 Lecture 13: Ideal Gas Mixture, Part 2 Example 13.1: Given: Find: » Final temperature and final pressure » Entropy change Ideal Gas B @ T BI , p BI Ideal Gas A @ T AI , p AI Ideal Gases A and B @ T F , p F Remove partition Partition Insulated

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13.2 Continue Example 13.1 Assumptions: » Closed system » Adiabatic process » ΔKE= ΔPE=0 » Ideal gases, constant specific heats Solution: » 1 st Law, energy balance for a finite time process: CM CM CM E U KE CM PE Q W CM A B A A B B A A,F A,I B B,F B,I U 0 U U m u m u 0 m (u u ) m (u u )
13.3 Continue Example 13.1 Continue Solution: A v,A F A,I B v,B F B,I F F I F I A,F A F A F A A A 0 m c (T T ) m c (T T ) (m c m c )T m c T m c T m c T m c T T m c m c Note, if T T T , then T T pV Final pressure: p V n RT n (1) RT p p V n RT n ,I V (2) RT

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13.4 Continue Example 13.1 Continue Solution: » Combining equation (1) and (2): A,I B,I FF A,F B,F F F F VV TT p p also, p p V T V T Using Dalton's Law: p p p p p V T V T T p p p V T T
13.5 Continue Example 13.1 Continue Solution: » Change in entropy: A,I

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ME300Lecture13 - Lecture 13: Ideal Gas Mixture, Part 2...

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