Calculate the work of reversible, isothermal expansion of a perfect gas. Suppose that the expansion is reversible but not isothermal and that the temperature decreases as the expansion proceeds. (a)...

Calculate the work of reversible, isothermal expansion of a perfect gas. Suppose that the expansion is reversible but not isothermal and that the temperature decreases as the expansion proceeds. (a) Find an expression for the work when
T
=
T
_i; - c(
V-
V
_i), with
c
a positive constant. (b) Is the work greater or smaller than for isothermal expansion?