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If the time taken by a system to execute a process through a finite gradient is infinitely large,the process
  • a)
    becomes reversible
  • b)
    is irreversible
  • c)
    becomes isothermal
  • d)
    is adiabatic
Correct answer is option 'C'. Can you explain this answer?
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Time taken by a system to execute a process through a finite gradient can be understood by considering the concept of time in thermodynamics. In thermodynamics, time is not considered as a fundamental quantity, but rather as a parameter that characterizes the rate at which a process occurs.

When the time taken by a system to execute a process through a finite gradient is infinitely large, it means that the process is happening very slowly. In this case, the system has enough time to reach thermal equilibrium with its surroundings at every step of the process. This leads to the process being isothermal.

Explanation:

Process Execution Time:
- The time taken by a system to execute a process refers to the duration it takes for the system to undergo the desired changes.
- This time can vary depending on the nature of the process and the conditions under which it is carried out.
- In the context of this question, we are considering a process that takes an infinitely large amount of time to execute.

Finite Gradient:
- A finite gradient refers to a non-zero temperature difference between two points in a system.
- In other words, it implies that there is a temperature gradient present in the system.

Isothermal Process:
- An isothermal process is a thermodynamic process in which the temperature of the system remains constant throughout.
- In this case, the system is in perfect thermal equilibrium with its surroundings at all times during the process.
- The system and its surroundings have the same temperature, and there is no transfer of heat between them.
- As a result, the process is reversible, and the system can be restored to its initial state by reversing the steps of the process.

Relation between Infinite Time and Isothermal Process:
- When a process takes an infinitely long time to execute, it means that the system has enough time to reach thermal equilibrium with its surroundings at every step of the process.
- In other words, the system can adjust its temperature gradually to match the temperature of the surroundings without any temperature difference or gradient.
- This behavior is characteristic of an isothermal process, where the system and its surroundings are always at the same temperature.
- Therefore, when the time taken by a system to execute a process through a finite gradient is infinitely large, the process becomes isothermal.

In conclusion, when the time taken by a system to execute a process through a finite gradient is infinitely large, the process becomes isothermal. This is because the system has enough time to reach thermal equilibrium with its surroundings at every step of the process, resulting in no temperature difference or gradient within the system.
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