In a diesel cycle, gas at volume V1 and pressure p1, undergoes adiabatic compression to a smaller volume V2. It is then healed at constant pressure while it expands to volume V3. The gas then expands adiabatically until it’s again at volume V1, whereupon it cools, at constant volume, until it’s back to its initial state of p1 and V1. Show that the work done by the engine over one cycle can be written as
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