In a Carnot engine, when working substance gives heat to the sinka)temperature of sink increasesb)temperature of sink remains samec)temperature of source decreasesd)temperature of both the sink and source decreasesCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

In Carnot engine, source and sink is thermal energy reservoir hence as heat is rejected or extracted, temperature does not change.

Answer

Sink is like sea having infinite energy...so how you can increase temp.of sea..so remain constant

Answer

Explanation:

A Carnot engine is a theoretical heat engine that operates on the Carnot cycle. It is considered to be the most efficient heat engine possible. In a Carnot engine, heat is transferred from a high-temperature source to a low-temperature sink, and work is obtained from this heat transfer.

When the working substance of a Carnot engine gives heat to the sink, the temperature of the sink remains the same. This can be explained by the following points:

Carnot Cycle:
1. The Carnot cycle consists of four processes: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression.
2. The isothermal expansion and compression processes occur at constant temperature, while the adiabatic expansion and compression processes occur without heat transfer.
3. In the Carnot cycle, the working substance absorbs heat from the high-temperature source during the isothermal expansion process and releases heat to the low-temperature sink during the isothermal compression process.

Temperature of the Sink:
1. During the isothermal compression process, the working substance of the Carnot engine releases heat to the sink.
2. However, the temperature of the sink remains the same because the heat transfer occurs at a constant temperature.
3. This is possible because the Carnot cycle is an idealized cycle that assumes perfect thermal insulation and reversible processes.
4. In reality, there may be slight temperature changes in the sink due to imperfections and losses in the engine, but for the ideal Carnot engine, the temperature of the sink remains constant.

Efficiency of the Carnot Engine:
1. The efficiency of a Carnot engine is given by the equation: Efficiency = 1 - (T_cold / T_hot), where T_cold is the temperature of the sink and T_hot is the temperature of the source.
2. As the temperature of the sink remains constant when the working substance gives heat to the sink, the efficiency of the Carnot engine is not affected by the sink temperature.
3. The efficiency of the Carnot engine is determined solely by the temperature difference between the source and the sink.

In conclusion, in a Carnot engine, when the working substance gives heat to the sink, the temperature of the sink remains the same. This is because the heat transfer occurs at a constant temperature during the isothermal compression process. The efficiency of the Carnot engine is determined by the temperature difference between the source and the sink, and the sink temperature does not affect the efficiency.

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