Assertion (A): Heat cannot spontaneously pass from a colder system to ...
A and R are true. A is the Clausius statement of second law of thermodynamics. Spontaneously means without change in surroundings. If question comes like following then answer will be (a).
Assertion (A): External work must be put into heat pump so that heat can be transferred from a cold to a hot body.
Reason (R): Heat cannot spontaneously pass from a colder system to a hotter system without simultaneously producing other effects in the surroundings.
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Assertion (A): Heat cannot spontaneously pass from a colder system to ...
Assertion (A): Heat cannot spontaneously pass from a colder system to a hotter system without simultaneously producing other effects in the surroundings.
Reason (R): External work must be put into a heat pump so that heat can be transferred from a cold to a hot body.
The correct answer is option 'B' - Both A and R are individually true but R is NOT the correct explanation of A.
Explanation:
Heat transfer occurs from a hotter system to a colder system spontaneously, following the direction of the temperature gradient. This process is known as natural or spontaneous heat transfer. On the other hand, heat transfer from a colder system to a hotter system requires external work to be done on the system, which can be achieved using a heat pump.
Let's discuss each statement separately:
Assertion (A): Heat cannot spontaneously pass from a colder system to a hotter system without simultaneously producing other effects in the surroundings.
This statement is true. According to the second law of thermodynamics, heat transfer occurs naturally from a higher temperature region to a lower temperature region. This is because heat transfer is driven by the temperature difference between the two systems. In order for heat to transfer from a colder system to a hotter system, it would require a violation of the second law of thermodynamics, which is not possible.
Reason (R): External work must be put into a heat pump so that heat can be transferred from a cold to a hot body.
This statement is also true. A heat pump is a device that can transfer heat from a colder region to a hotter region by utilizing external work. It works by extracting heat from a low-temperature source (cold body) and delivering it to a high-temperature sink (hot body) against the temperature gradient. The external work input is required to drive the refrigeration cycle of the heat pump, which involves compressing the refrigerant and transferring heat from the cold side to the hot side.
However, the reason provided does not directly explain why heat cannot spontaneously pass from a colder system to a hotter system. The reason explains the process of heat transfer using a heat pump, which is a specific mechanism to achieve this transfer. It does not provide a general explanation for the impossibility of spontaneous heat transfer from a colder to a hotter system.
In conclusion, both the assertion and reason are individually true, but the reason is not the correct explanation of the assertion. Heat transfer from a colder system to a hotter system requires external work, but this reason does not directly explain why spontaneous heat transfer in that direction is not possible.
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