In a diesel cycle, gas at volume V1 and pressure p1 undergoes adiabatic compression to a

Chapter 19, Problem 56

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In a diesel cycle, gas at volume V1 and pressure p1 undergoes adiabatic compression to a smaller volume V2. It is then heated at constant pressure while it expands to volume V3. The gas then expands adiabatically until its again at volume V1, whereupon it cools, at constant volume, until its back to its initial state of p1 and V1. Show that the work done by the engine over one cycle can be written as W = p1V1 3rg-1 1a - 12g - ag + 14 g - 1 . Here r = V1/V2 is the compression ratio and a = V3/V2 is the so-called cutoff ratio

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