Imagine that a stream of fluid in steady-stale How serves as a heat source for an infinite set of Carnot engines, each of which absorbs a differential amount of heat from the fluid, causing its temperature to decrease by a differential amount, and each of which rejects a differential amount of heal to a heat reservoir at temperature T(. As a result of the operation of the Carnot engines, the temperature of the fluid decreases from T2 to Ti Equation (5.8) applies here in differential form, wherein n is defined as:

Where Q is heat transfer with respect to the flowing fluid- Show that the total work of the Carnot engines is given by:
W = Q - T( (S
Where (S and Q both refer to the fluid. In a particular case the fluid is an ideal gas. CP = 7/2)R, for which T1 = 600 K and T2 = 400 K. If T( = 300 K. what is the value of W in J mol-1? How much heat is discarded to the heat reservoir at T(? What is the entropy change of the heal reservoir? What is (Stotal?

Transcribed Image Text:

n =dW/dQ