One mole of a monoatomic ideal gas is taken through the cycle shown in figure.
A→B: Adiabatic expansion
B→C: Cooling at constant volume
C→D: Adiabatic compression.
D→A: Heating at constant volume
The pressure and temperature at A,B,C and D are denoted by (PA,TA),(PB,TB),(PC,TC) and (PD,TD) respectively. Given TA=1000 K,PB=23PA and PC=13PA, the work done by the gas in the process A→B is
[Take R=8.31 J/mol K]