cheme141-sp11-mt1-Maboudian-soln

cheme141-sp11-mt1-Maboudian-soln - N ame: 6 Sl Discussion S...

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Name: 6Sl Discussion section' Su luh'o^ SID: Chemical Engineering Thermodynamics 141- Spring 20Ll Tuesday, February 22, zOLl Midterm | - 70 minutes 100 total points One one-sided 8.5"x 11" equation sheet allowed (20 points) L. Consider an ideal gas. i) (2 points) On the P-V diagram shown below, draw an isothermal curve at T1. ii) (3 points) Show graphically the reversible work for compression from 2Vr to Vr at constant temperature T1. P\ T, iii) (6 points) Show mathematically that the reversible work done on the system at Tr is greater than at T2 where Tr > Tz. Begin from the definition of work' [\M= _ ?JV Q-1 tW= \Jv =) w= [4",v, V r y S,n( e VJ is A conslant, wi.- c?Q fi"h ib oul o.l t 1," ,r l-egr"l . M" k Lhrl Ne orye tfu?t,rl,r'S &o-u,LV,U b" V; ,u, W = Rtl+ W= fu l-+, ZV, W,= Vl,/,nz W,. KT;l^z T, )a, -) W, \fu,
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I iv) (3 points) Which one of the following expressions does not remain constant in the reversible and adiabatic expansion of an ideal gas? a) Tvn/cu b) TVl:1 @ r* d) PVl R/cn C2ED v) (6 points) Prove that all the o_tfer remain ..ttl1[ Begin from the 1't Law. /u =7disw j" =o,adia,r du=5ru i'it'Ju:tnS1 c )T= - wlv -) -v I t- q_ lV => Cvd t= v Cv dT Jv -= l<-T v C, l^T r !^V t c=) f q/a = v exyG\ =' l vF/cv =(*p|* ,) Kfc, P ED K C, To" So
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cheme141-sp11-mt1-Maboudian-soln - N ame: 6 Sl Discussion S...

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