Now Pv n=C
V n d P + P n v n 1 dv = 0
dp / du = – n p / u
slope = – n p / u
Thus slope depends on P and v for a particular n, in negative sense.
Process Value of n Equation of process
Isobaric Process n = 0 P = Const.
Isothermal Process n = 1 T = Const.
Isentropic Process n = y S = Const.
Isometric or isochoric Process · v = Const.
Similarly u1 = u2
u2 = u3 and so on
u = constant for n=∞