Question

Thermodynamics of Monatomic Ideal Gases Given the following: (KE)ava = SRT - (average kinetic energy per mole for a monatomic ideal gas) AE = q +w w = -PAV (Note the sign!) g=nCAT (where C is the molar heat capacity.) AH = AE +A(PV) For the case of a monatomic ideal gas, select correct equivalent expressions for the quantities listed. Cy (i.e. Cat constant volume) CAE Cp (i.e. Cat constant pressure) AH A. nCPAT c. Cp-R D. RAT

Answer 1

NOTE For womacimi gor Relation blo Cp 4 cu is given by Cp-cg=R we know Co=ff where fa degree of freedom for mimantenis gan, f-3 Cu = 30 for datorri gan, f = 5 = SRL For Triatomic, fa5s 2 or Co= Cp-R →© we know, Internal energy, € (oru) can be expressed on a finctim of TAV Uf(Tv) For Palyatomis, fuf .60=6R = 3R AU - Cent), AT+ Men met ov Arteamel eneeg * este marted by cymbal Umre 4+ Corlaivut Vely , AV = 0 Therefore, Du= (A) at to or au= C AT whose colon ) - Heat content and For n motes Du = NEAT DE = nCY AT Volume Since Co= 3R Then, Se= 3B xnx WAT = nROTY Cp-ce=R Cp = R+C = R + Enthaupy His a function of P4T jer H = f (PT) AM = (4) OP + (A) AT At constant Pressun AP=0 - AM= 0+ ), or or AH = cp AT were Cp = 1 to in man [AM- NEPATI A

Cp-R clk Cyciec at constant volume) 3ROT & AE ER B & cp(ie cat const. Presse) NEPAT AT AH