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Test: Carnot engine - JEE MCQ


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10 Questions MCQ Test - Test: Carnot engine

Test: Carnot engine for JEE 2024 is part of JEE preparation. The Test: Carnot engine questions and answers have been prepared according to the JEE exam syllabus.The Test: Carnot engine MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Carnot engine below.
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Test: Carnot engine - Question 1

If an air conditioner is put in the middle of a room and started working

Detailed Solution for Test: Carnot engine - Question 1
The working of an air coditioner is similar to the working of a refrigerator. An air conditioner removes heat from the room, does some work and rejects the heat to the surroundings. As air conditioner is put in the middle of the room then due to continuous, external work the room will become slightly warmer.
Test: Carnot engine - Question 2

In the following P−V diagram two adiabatics cut two isothermals at temperatures and (fig). The value of will be

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Test: Carnot engine - Question 3

A heat engine absorbs heat  at temperature  and heat  at temperature . Work done by the engine is . This data:

Detailed Solution for Test: Carnot engine - Question 3

According to the first law of thermodynamics:
 
Change in internal energy , for heat engines, because initial and final states are same. Internal energy is a state function.
From equation (1),


Total work doneTotal heat exchanged

Total work done

Work done by heat engine is 

Test: Carnot engine - Question 4
If a refrigerator's door is opened then, we get
Detailed Solution for Test: Carnot engine - Question 4

If a refrigerator's door is kept open, then room will become hot, because then refrigerator exhaust more heat into the room than earlier. In this way, temperature of the room increases and room becomes hot.

The compressor has to run for longer time releasing more heat to the surroundings.

Test: Carnot engine - Question 5

A Carnot engine operating between temperatures and has efficiency When is lowered by its efficiency increases to Then and are, respectively

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On solving Eqs. (i) and (ii) and

Test: Carnot engine - Question 6

If the co-efficient of performance of a refrigerator is 5 and operates at the room temperature , the temperature inside the refrigerator is

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Here, Coefficient of performance
As,
or or

Test: Carnot engine - Question 7

The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

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and

Test: Carnot engine - Question 8

A Carnot engine whose efficiency is has an exhaust temperature of . If the efficiency is to be with the same intake temperature, the exhaust temperature must be (in K)

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or
Also,

Test: Carnot engine - Question 9

If the energy input to a Carnot engine is thrice the work it performs then, the fraction of energy rejected to the sink is

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Efficiency

Test: Carnot engine - Question 10

In a Carnot engine, the temperature of reservoir is and that of is . If the work done by the engine when it transfers heat from reservoir to sink is , the quantity of heat absorbed by the engine from the reservoir is

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