20.110_Pset_3_solutions_Fall2008

20.110_Pset_3_solutions_Fall2008 - 20.110 Problem Set 3...

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20.110 Problem Set # 3 Solutions 1.) P5.34) Calculate Δ S, Δ S total , and Δ S surroundings when the volume of 85.0 g of CO initially at 298 K and 1.00 bar increases by a factor of three in (a) an adiabatic reversible expansion, (b) an expansion against P external = 0, and (c) an isothermal reversible expansion. Take C P,m to be constant at the value 29.14 J mol –1 K –1 and assume ideal gas behavior. State whether each process is spontaneous. The temperature of the surroundings is 298 K. a) For a reversible process with q = 0: surroundings tot Δ S Δ S Δ S 0, not spontaneous == = b) For an expansion against p ext = 0: () ( ) 1 i i 1 1 1 - i f K J 27.7 V V 3 ln K mol J 8.314472 mol g 28 g 85 V V ln R n Δ S = × × × = = 1 surroundings Δ S 0 J K = 1 total surroundings Δ S Δ S Δ S 27.7 J K , spontaneous =+ = c) For a reversible, isothermal expansion: ( ) 1 i i 1 1 1 - i f K J 27.7 V V 3 ln K mol J 8.314472 mol g 28 g 85 V V ln R n Δ S = × × × = = 1 surroundings Δ S Δ S -27.7 J K =− = 1 total surroundings Δ S Δ S Δ S 0 J K , not spontaneous =
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2.) Look at the solution more than the final value Given: m lobster = 1.25 lb = 568 g C p = 2.1 + 0.005(T – 280) for 5 ° C < T < 40 ° C C p = 6 + 11.1(T – 323) – 0.017(T 2 – 323 2 ) for 40 ° C < T < 70 ° C Cp = 3.0 + 0.005(T-280) for 70 ° C < T < 100 ° C Find: Δ
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20.110_Pset_3_solutions_Fall2008 - 20.110 Problem Set 3...

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