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Which of the below stated are properties of a PMM-2?
  1. When the net work is equal to the heat absorbed and work efficiency is 100%.
  2. Heat is exchanged from one heat reservoir only.
  3. It violates Kelvin-Planck statement.
  4. It is a hypothetical machine
  • a)
    1), 2) and 4)
  • b)
    1), 3) and 4)
  • c)
    2), 3) and 4)
  • d)
    1), 2), 3) and 4)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the below stated are properties of a PMM-2? When thenet work ...
Kelvin – Planck statement states “it is impossible to construct an engine, which is operating in a cycle produces no other effect except to external heat from a single reservoir and do equivalent amount of work.
A PMM II is the heat engine which produces the work equal to the heat supplied. Thus, it violates the second law of thermodynamics and It is a hypothetical machine.
On the other hand, Perpetual motion machine of type-I violates the first law of thermodynamics.
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Which of the below stated are properties of a PMM-2? When thenet work ...
Properties of a PMM-2

A PMM-2, or a Perpetual Motion Machine of the Second Kind, is a hypothetical machine that violates the Kelvin-Planck statement of the second law of thermodynamics. It is important to note that such a machine is not possible in reality because it contradicts the fundamental principles of thermodynamics. However, for the purpose of understanding the properties of a PMM-2, the following statements can be made:

1) The net work is equal to the heat absorbed and work efficiency is 100%.
2) Heat is exchanged from one heat reservoir only.
3) It violates the Kelvin-Planck statement.
4) It is a hypothetical machine.

Now, let's discuss each of these properties in detail:

1) The net work is equal to the heat absorbed and work efficiency is 100%:
In a PMM-2, the machine is designed in such a way that all the heat absorbed from a heat reservoir is fully converted into work without any loss. This means that the net work output is equal to the heat absorbed, resulting in a work efficiency of 100%. This property contradicts the second law of thermodynamics, which states that it is impossible to have a 100% efficient heat engine.

2) Heat is exchanged from one heat reservoir only:
In a PMM-2, heat is exchanged only from a single heat reservoir. This means that the machine operates by continuously absorbing heat from the reservoir and converting it into work, without any heat rejection to another reservoir. This property violates the Kelvin-Planck statement, which states that it is impossible to have a heat engine that operates in a cycle and produces no other effect except the extraction of heat from a single reservoir.

3) It violates the Kelvin-Planck statement:
The Kelvin-Planck statement is a fundamental principle of the second law of thermodynamics, which states that it is impossible to have a heat engine that operates in a cycle and produces no other effect except the extraction of heat from a single reservoir. A PMM-2 violates this statement by exchanging heat from a single reservoir and converting it into work without any heat rejection.

4) It is a hypothetical machine:
Lastly, it is important to note that a PMM-2 is a hypothetical machine that does not exist in reality. It is a concept used to understand the limitations imposed by the second law of thermodynamics and to highlight the impossibility of achieving perpetual motion or 100% efficiency in real-world machines.

In conclusion, the properties of a PMM-2 include the equality of net work and heat absorbed with 100% work efficiency, heat exchange from one reservoir only, violation of the Kelvin-Planck statement, and its hypothetical nature.
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