Consider the processes A and B shown in figure. It is possible that


From the graph, we can see that the slope of process B is steeper than that of process A.


Now in an isothermal process, under constant temperature, Pressure(P) x Volume(V) = constant … (i) (according to Boyle’s law)


Differentiating on both sides:


PdV + VdP = 0.


slope = = … (ii)


For an adiabatic process,


PV = constant


Where,


1