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One mole of a prefectputthroughta cycleconsitingofthefollowingthreereversiblesteps :(CA) Isothermal comoressionfrom 2atm and10litres to20 atmandlitre.(AB ) Isobaric expansion to returnthe gasto the origanlvolume of 10litrewithT going fromT_(1) to T_(2)(BC)Coolingat constantvolume to bringthegastotheoriganlpressurelt brgtandtemperature .The stepsare shownschematicallyin the figureshown. CalculateT_(1) to T_(2).(b) CalculateDeltaU, qandwill be in calories , foreachstep andfor thecycle .

Answer»


Solution :(a)`""(PV)/(R)= (20 XX1)/(0.0821) = 243.6 K`
`T_(2) = (20 xx 10 )/(0.021) = 2436.0 K`
(b)CA(Isothermal )
`W_(1) = - 2.303 xx 2 xx 243.6 log .(2)/(20)= 1122`
BC(Isochoric )
`W_(2) = 0`
AB(Isochoric)
`W_(3) = - RDeltaT = - 4384.9 cal`
For complete CYCLE
`W = W_(1) + W_(2) + W_(3) = 3262. 888 cal`


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