With the help of entropy – temperature diagram of Carnot cycle,

Question

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.

22 Jan 2025

Answer :

Word Count : 721

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

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★