Question

3. a) i) Draw a Carnot cycle on p-V diagram. Show that the amount of heat absorbed

(rejected) in a reversible cycle is proportional to the temperature of source (sink).

Answer 1

Answer on Question #66529-Physics-Molecular Physics-Thermodynamics

i) Draw a Carnot cycle on p-V diagram. Show that the amount of heat absorbed (rejected) in a reversible cycle is proportional to the temperature of source (sink).

Solution

Carnot cycle is composed of four processes:

1-2. Isothermal heat addition (T=const)

2-3. Isentropic expansion (S=const)

3-4. Isothermal heat rejection (T=const)

4-1. Isentropic compression (S=const)

P-V and T-S diagrams of Carnot Cycle

The amount of heat absorbed from the T-S diagram is

$$Q _ {H} = T _ {s o u r c e} (S _ {2} - S _ {1}) \sim T _ {s o u r c e}.$$

The amount of heat rejected from the T-S diagram is

$$Q _ {H} = T _ {s i n k} (S _ {2} - S _ {1}) \sim T _ {s i n k}.$$

Answer provided by AssignmentExpert.com