1.

Onemoleof an ideal monoatomic gas iscarried through the reversilycycle of thegiven figure consisiting of stepA,and C andinvolvingstate1,2 and 3. Fill in the blankspacein thethe tablegivenbelow assumingreversible steps.

Answer»


Solution :`1 to 2 rArr "" " Isochoric preocess"`
`2 to 3 rArr "" " Isothermala preocess"`
`3 to 1 rArr "" " Isobaric preocess"`
`"State - 1:"""P=(NRT)/(V)= 1 atm""V= 22.4 L ""T= 273K`
`"State - 2:"""T= 546K""V= 22.4 L ""P= 2atm`
`"State - 3:"""T= 546K""V= 44.8 L ""P= 1atm`
Step - A:Isochoric process
`""W = 0`
`""DeltaE= n C_(v.m)DELTAT= (3)/(2) R xx 273`
`""DeltaH= n C_(p.m)DeltaT= (5)/(2) R xx 273`
`""q_(v)= DeltaE= (5)/(2) R xx 273`
Step- B : Isothermal processltb`""DeltaE=0`
`""DeltaH=0`
`""W= - nRT ln .((V_(1))/(V_(2))) = - 1 xx R xx546 ln 2`
`""= - 546R ln 2`
`""q = - W =546R ln 2`
Step-C : Isobaricprocess
`""DeltaE = nC_(v.m)DeltaT= -(3)/(2) R xx 273`
`""DeltaH = nC_(p.m)DeltaT= -(5)/(2) R xx 273`
`""W =- PDeltaV= - nRT = R xx 273`
`""q_(p) = DeltaH = -(5)/(2) R xx 273`


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