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Nov 29, 2018 at 17:38 comment added Farcher @Drew The equation of the straight line in this case is $P = bV + a$, compare with the general equation of a straight line $y=mx+c$, and the equation of state is $PV=nRT$
Nov 29, 2018 at 16:13 comment added user65081 @Drew yes, just as Chester Miller said
Nov 29, 2018 at 16:11 comment added Chet Miller @Drew All he is saying is that the temperature is rising in a specific way along the process path. From the ideal gas law, T=PV/nR, so for any combination of P and V along the process path, you can calculate a corresponding temperature.
Nov 29, 2018 at 15:55 comment added Thermodynamix "In order to do that you need to put the gas in contact with a variable thermal source whose temperature will augment quadratically with the volume: $T=(a+bV)V/nR$" Why? This is not obvious to me.
Nov 29, 2018 at 15:51 history answered user65081 CC BY-SA 4.0