this is a thermodynamics problem

1. Define a system and perform an energy balance to obtain an expression for the amount of work that can be produced from one mole of gas flowing through the turbine. Please explain all necessary/relevant approximations/assumptions. 2. Determine a numerical value for the amount of work produced by the turbine per mole of gas. 3.Determine the change in entropy of the universe for the process (per one mole of gas flowing through the turbine). A common way to extract work from changes in thermodynamic state is by flowing a gas through a turbine. Consider a real gas that is initially at 100 bar and 600K flowing rapidly through a turbine end exiting at 18 bar and 450K. The following information is available. - The ideal-gas, constant-pressure heat capacity is cpIG/R=3.6+0.0024T[K] - The data for PvT is well represented by P(vb)=RT+TaP2 - In the above, a=0.001(m3K)/( bar mol) and b=0.00008m3/mol