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a) Describe in your own words the operation of a diesel engine, and explain how it is estimated
by the idealised Diesel cycle. [Hint: you can make use of one or more diagrams.]

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The second image shows how I worked this out. I don't see how I'm getting this wrong. Thank you for your help.
Consider the adiabatic free expansion of n moles of an ideal gas from volume V₁ to volume V2, where V₂ > V₁. [Hint: check lecture 19, chapter 5.6, process number 5. Note that such a process happens quasi-instantaneously, thus, it is irreversible.] (1) Calculate the change in entropy of the gas. (2) Calculate the change in entropy of the environment. (3) Evaluate the total change in entropy (AS = ASgas + ASenv.) for 1 mole, with V₂ = 2V/₁.
Explain each step