One mole ofamonoatomicgas behving ideally is usedas workingsubstancein anengine workingin thecycle as shown in the figure. TheprocessAB, BC, CD and DA are respectively reversible isobaric, adiabatic isochoric and isothermal . The ratioofmaximum tovolume and temperatureduring the cycle is 8sqrt(2) and 4 respectively. Ifthe maximum T is 800 Kand gamma =5//3. Calculate DeltaE (in kJ) forthe process BC.Given R= 8.3 J//K-mol.

One mole ofamonoatomicgas behving ideally is usedas workingsubstancein

1.	One mole ofamonoatomicgas behving ideally is usedas workingsubstancein anengine workingin thecycle as shown in the figure. TheprocessAB, BC, CD and DA are respectively reversible isobaric, adiabatic isochoric and isothermal . The ratioofmaximum tovolume and temperatureduring the cycle is 8sqrt(2) and 4 respectively. Ifthe maximum T is 800 Kand gamma =5//3. Calculate DeltaE (in kJ) forthe process BC.Given R= 8.3 J//K-mol.
Answer» Solution :Max. volume at `V_(A)` Min. volume at `V_(C)` & `V_(D)` `(V_(A))/(V_(C))= 8sqrt(2)` `V_(A)= 8sqrt(2) V_(C)` nin.Temp .atB max. temp at D or A `(T_(D))/(T_(B))= 4 or(T_(A))/(T_(B))= 4` `therefore T_(B) = 200 K` During isobaric processAb `(V_(A))/(V_(B))= (T_(A))/(T_(B)) rArrV_(B) (T_(B))/(T_(A))= (8sqrt(2))/(4) V_(C) = 2 sqrt(2) V_(C)` During ADIABATIC proessBC `T_(C)= T_(B) ((V_(B))/(V_(C)))^(r-1)= 200 (2sqrt(2))^((5)/(3)-1)=400 K` `= 400 K` `DELTAE= (3)/(2)R[400-200]` `= 2494 .2 J = 2.494 kJ`