A reversible heat engine carries `1 mol` of an ideal monatomic gas around the cycle `ABCA`, as shown in the diagram. The process `BC` is adiabatic. Call the processes `AB, BC` and `CA` as `1,2` and `3` and the heat `( DeltaQ)_(r)`, change in internal energy `(DeltaU)`, and work done `( DeltaW)_(r), r=1,2,3` respectively. The temperature at `A,B,C` are `T_(1)=300K,T_(2)=600K` and `T_(3)=455K`. Indicate the pressure and volume at `A,B` and` C` by `P_(r)` and `V_(r), r=1,2,3,` respectively. Assume that intially pressure `P_(1)=1.00atm.`
Which of the following represents the correct values for the quantities indicated ?
A. `V_(1)=3 xx 10^(-3)Rm^(3), P_(2)=0.5 atm`
B. `V_(2)=3 xx 10^(-3)Rm^(3), P_(3)=1.0 atm`
C. `V_(3)=3 xx 10^(-3)Rm^(3), P_(2)=2.0 atm`
D. `V_(2)=3 xx 10^(-3)Rm^(3), P_(3)=2.0 atm`