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If I am referring to the right graph, the flat line is under irreversible, isobaric(constant pressure) conditions where it is defined by w=-P∆V. Lavelle always refers to their being a pin in a piston and once he releases that piston, there is a rapid work of expansion being performed. This is what makes the pressure constant and volume change because the work was irreversible and quick. Conversely, the curved one is a reversible, isothermal process and tends to be slower. Because it is under constant temperature and can be reversible, this is why there is a curve and has more work being done. The area under the curve is a lot more than the flat line.
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