Correct Answer - A::B::C
For `PV^x=Constt.,` Molar heat capacity
`C=1/R/(gamma-1)+R/(1-x)=R/(5/3-1)+R/(1-1/2)`
Here `P^2V=constant of PV^(1//2)=constant`
`:. x=1/2`
`rArrC=3.5R`
`Q_(AtoB)=nCDeltaT=2(3.5R)(300-600)=-2100R`
Process B -C : Process is isobaric therefore
`Q_(BtoC)=nCDeltaT=(2)(5/2R)(T_C-T_B)`
`=2(5/2R)(2T_1-T_1)=(5R)(600-300)=1500R`
Heat is absorbed
Process C-A: Process is isothermal
`DeltaT=0 and Q_(CtoA)=W_(CtoA)=nRT_CIn((P_C)/(P_A))`
`=nR(2T_1)In((2P_1)/(P_1))=(2)(R)(600)In(2)=1200Rxx0.6932`
`Q_(CtoA)=831.6R(absorbed)`