Please answer this and explain how you did it

A Lenoir cycle (also called "Pulse jet" cycle) consists of: AB - an isobaric compression from VH to VL BC an isochoric pressurisation from PL to PH CA an adiabatic expansion Assume that the working fluid for this Lenoir engine is an ideal gas. (i) Sketch the Lenoir cycle on a P-V diagram. On your diagram, mark processes where heat enters and leaves the cycle (Qin and Qout). [Mark: 8 percent] (ii) Derive an expression for the work done by one Lenoir cycle in terms of VH,VL,PH,PL and . (Note: you may not need all of these parameters). [Mark: 8 percent] (iii) Derive an expression for the heat input into the Lenoir cycle in terms of VH,VL,PH,PL and . (Again, you may not need all of these parameters). [Mark: 8 percent] (iv) Derive an expression for the entropy change during the isobaric compression AB. [Mark: 8 percent] (v) Derive an expression for the entropy change during the isochoric pressurisation BC. [Mark: 8 percent] (vi) What is the entropy change for one complete Lenoir cycle. [Mark: 2 percent] (vii) Sketch the Lenoir cycle on a T-S diagram. Mark the points A, B and C. Show their relative entropy and temperature values (approximately). [Mark: 8 percent]