With the help of entropy – temperature diagram of Carnot cycle, obtain an expression of efficiency of a Carnot engine. A Carnot engine has an efficiency of 50%. It operates between reservoirs of constant temperature with temperature difference of 80 K. Calculate the temperature of the low-temperature reservoir in Celsius.

The Carnot engine operates between two thermal reservoirs: a hot reservoir at temperature \( T_H \) and a cold reservoir at temperature \( T_C \). The engine undergoes a cyclic process consisting of two isothermal processes (heat absorption and rejection) and two adiabatic processes (expansion and compression).

To obtain the efficiency of the Carnot engine, we use the relationship between the entropy, temperature, and heat exchanged during the isothermal processes. The efficiency of the Carnot engine is given by the ratio of the work done by the engine to the heat absorbed from the hot reservoir during the isothermal expansion phase.

### Entropy-Temperature Diagram of the Carnot Cycle:

The entropy-temperature diagram for the Carnot cycle is crucial in understanding the heat exchanges. In this diagram:

- The vertical axis represents the temperature \( T \).
- The horizontal axis represents the entropy \( ______ __________ ________ _____ _______ _____ ______.
_______ _________ ______ ____ ____ ________.
__________ ____ _________ _____ ______ ___ ____ _______.
________ _______ _________ __________ ______ ________ ______.
____ __________ _______ _______ _____.
____ __________ _______ _______ _________ __________ _______ ______ ______ ____ __________ _______.
________ _________ ___ _________ ____ _________ _________.
_____ ________ _______ ________ _____ ____ ______ ____ ________ _____ _______ ______.
_____ ______ ______ ___ ____ _________ ________ __________ _________ ____ _________ ____.
_________ ______ __________ ____ _____ _____ _______ ___ ______.
____ ________ ____ _______ ________ _________ ___ _______ _____ _________ _________ ________.
___ _______ ________ ______ ___ ________ _____ ________ ___.
___ ________ __________ __________ _______ ___ _________ __________ ____.
___ __________ _________ _______ ____ _______.
__________ _____ ________ _________ _________.
______ _________ ___ _____ _________ ________ ______ _______ ___ ______ ______.
____ _________ ___ ___ ______ _____ ________ ______ ___.
_____ _______ ___ ______ _________ ____.
_________ ___ ___ ______ _________ ___ ______ ____ ________ _________ ____ ______.
_____ __________ ______ _____ _____ ___ _________ _________ _________.
_______ _____ ___ _________ _______ ____ ______ _____ _________ ________ ____.
_________ _________ _________ ___ ____ ____ _________ _____ ___ __________ _____ ________.
_____ ___ ________ _______ ________.
_____ _________ _______ __________ __________ ____ ______ _______.
___ __________ _________ _________ ________ ________ ___ _________.
_____ _____ ___ ____ ____ _________ ____ _____.
_______ _________ ________ ___ ____ ___ ______.
___ __________ ___ ________ ___ _________.
______ ______ ______ ____ ___ _____.
__________ ___ ___ __________ _____ ____.
___ __________ _______ ________ ______ __________ ______ ___ __________ ______ ____.
______ __________ _____ _______ ______ __________ ______ ______ _______ ___ _________ _____.
_________ ________ ____ __________ _________ _________ ___ ______ __________.
__________ _______ _____ ______ _______ ________ ______ ___ ________ __________ _____ ________.
_____ __________ ___ __________ ____ ____ ______ ____ ____ ___ __________ ____.
_______ ___ ____ ____ __________ ____ __________ ___ ____.
___ ________ ______ _______ __________ ______ _______ ______ __________.
__________ ____ ________ _____ ______.
_________ __________ ______ ____ ______ ____ __________ ___ _____.
_________ ____ _____ ____ ______ _________ ___ __________ _____ __________.
_______ ____ ______ _____ __________.
_______ ______ _____ ________ ________ __________ _______ ________ ________ _____ ________.
____ ________ ___ _____ __________ _____ _______ ________ _________ ___ ________ _________.
_________ _______ ________ _____ _______.
__________ ______ ______ ___ _______ ___.
______ _________ ________ _____ _______ ______.
___ __________ _________ ____ __________ ____ ____ _____ ___.
_________ __________ ______ _______ _________ _____ _________.
______ ______ _______ _____ __________ ________ __________ _________ _________ ________.
____ _______ _______ ___ ______ __________ _________ __________ _______ ___ _______ ________.
____ ______ __________ _____ ___ ________.
__________ ____ _____ ______ ___ ___ ________ _________ __________ ________.
______ _____ ____ _____ ____.
_________ _________ ____ ____ ________ _____ ________ _______ ____ ___ ________.
_________ ____ _______ _______ _____.
___ _____ _________ _____ ___ ____ _____.
______ _____ ___ ______ ___ _________ ____ _______ ___.
___ ______ _________ ___ __________ _________ _____ _______ _________ ___.
_________ ________ _______ ___ ___ _______ ____ _____ __________ ________ _______ _______.
________ _________ ___ _______ _____ _________ _____ _____ _________ ____ ___.
___ ______ ____ _____ ____ __________ ___ _________ ____.
_______ ____ ___ _________ ____.
____ ____ ____ ___ ________ _______ ________ ____ __________ __________ ____.
_________ _______ _______ ____ ____ ______ _________ _____ _________ _________ ______.
_______ ___ _________ ___ _______ ________ _____ _______ _________ ________.
________ ______ _______ ______ __________ ___ _________ ________ ______ ________ _____.
_________ ____ ____.
Get Full Answer on WhatsApp