1.

`1mol` of a mono-atomic gas is subjected to following cyclic process: a. Calculate `T_(1)` and `T_(2)`. b. Calculate `DeltaU,q,` and `W` in calories in each step of cyclic process.

Answer» (a) At A
`PV=nRT`
`20xx1=1xx0.0821xxT_(1)`
`T_(1)=243.6K`
At B: `PV=nRT`
`20xx10=1xx0.0821xxT_(2)`
`T_(2)=2436.05K`
(b) Path AB: isobaric process `(DeltaU=0,q=w)`
`w=PDeltaV=20xx9=180` litre-atm
`=(180xx101.3)/(4.185)cal`
`=4356.9cal` (work in compression is positive)
Path BC: Isochoric process
w=0
`q_(V)=DeltaU=nC_(V)DeltaT=1xx(3)/(2)Rxx(2436-243.6)`
`=(3)/(2)xx2xx2192.4=6577.2cal`
It is cooling process, `q_(V)=-6577.2cal`
Path CA: It is isothermal compression `DeltaV_(0)`
`q=w=2.303nRtlog(V_(2))/(V_(1))`
`q=w=2.303xx1xx2xxlog((10)/(1))=1122.02cal`


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