PrelimI_solutions - Spring 2009 12 Feb2009 Sol,fuo"s...

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Spring 2009 12 Feb 2009 Sol,fuo"s Problem 1: /20 Problem 2: /15 Problem 3: /25 Problem 4: /25 Problem 5: /15 Total: /100 Contants and relations vou misht need: R = 8.314 J/ (mol K) JA( I bar = 0.987 atrn: 105 Pa i{, (Avogadro #) = 6.02x1023moI-r I joule = 6.24xl0r8eV vdWaals equation of state: RTa f, = --- r V-n V2 RK sas equation of state: RTA r V-n JTVF+n) Calc+lation of U: (J =k,72(4P.9\ " \.ar), Adiabafic exnansion/comnression: PVt+Rtcv = cofrst.
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Problem 1. (20 points) A gas obeys the equation of state: z =r+w-!-lL " RT'V (a) Suppose that n moles of this gas undergoes an isothermal, reversible expansion or compression from volume Vlto volume V1. Calculate the work done on the gas for this process. (b) Consider your answer to (a) for the case of a compression (W< V,). At low temperatures (as low as you please), compare the work to that associated with compressing an ideal gas. Is it greater, less or the same? Interpret your answer in terms of intermolecular forces. (a) se = (r -pdv : o f'o -pcr JV. J G oO= ,y ) l-t- JVr L /= #= t+ cb-#)+ =) F= + "u-#)+ T= ry, . / -l - ( a-bRT) i-, I o( v + n (a-bRr) (#,- a) RT -=t V Vr -: Vt (um - a1 _(_ V* altndian I = -71K1 ln : - n,r,:E:r@-btrr, (YtHa.*s / -_-4- (b) a* ,b,a te,rtrydnures e-bRT .- k tJreoQ- h)rq=- 6^z/ t t\ 16 c;d-eo! 3*S '" I V'* V{/ -) W^att Here 7a'ro'u.e.ter d ryres*"'fu iovbr'tnole'o'/o' ushich laut;udes "l /oo y'e<'7erulurec- h)h;[u o*,1ress;g , t'[';s p/uc<nf /44- annaurrn/ "f \-/
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Problem 2. (15 points) The thermodynamic
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PrelimI_solutions - Spring 2009 12 Feb2009 Sol,fuo&quot;s...

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