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Consider the following two processes;
I. A heat source at 1200 K loses 2500 kJ of heat to a sink at 800 K
II. A heat source at 800 K loses 2000 kJ of heat to a sink at 500 K
Which of the following statements is true?
[2010]
  • a)
    Process I is more irreversible than Process II
  • b)
    Process II is more irreversible than Process I
  • c)
    Irreversibility associated in both the processes are equal
  • d)
    Both the processes are reversible
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following two processes;I. A heat source at 1200 K loses ...
From Clausius inequality,

For process I

For process II

Hence process II is more irreversible than process I.
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Most Upvoted Answer
Consider the following two processes;I. A heat source at 1200 K loses ...
Process I:
- Heat source temperature: 1200 K
- Heat loss: 2500 kJ
- Sink temperature: 800 K

Process II:
- Heat source temperature: 800 K
- Heat loss: 2000 kJ
- Sink temperature: 500 K

Understanding Irreversibility:
Irreversibility is a measure of the inefficiency of a process. It indicates the extent to which a process deviates from being reversible, meaning that it cannot be undone without leaving some trace on the surroundings. Irreversibilities are associated with factors such as heat transfer across a finite temperature difference, friction, unrestrained expansion, etc.

Comparing the Irreversibility of Processes I and II:
To compare the irreversibility of the two processes, we can consider the efficiency of each process. The efficiency is defined as the ratio of the work output to the heat input. In this case, since there is no work output mentioned, we can use the heat loss as a measure of inefficiency.

Process I:
- Heat loss = 2500 kJ
- Temperature difference = 1200 K - 800 K = 400 K

Process II:
- Heat loss = 2000 kJ
- Temperature difference = 800 K - 500 K = 300 K

Comparing the Temperature Differences:
The temperature difference between the heat source and sink is an important factor in determining the irreversibility of a process. A larger temperature difference generally indicates a higher degree of irreversibility.

In this case, the temperature difference for Process I is 400 K, while for Process II it is 300 K. Since the temperature difference for Process I is greater, we can conclude that Process I is more irreversible than Process II.

Conclusion:
Based on the comparison of temperature differences, we can conclude that Process I is more irreversible than Process II. Therefore, the correct answer is option 'B'.
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Community Answer
Consider the following two processes;I. A heat source at 1200 K loses ...
From Clausius inequality,

For process I

For process II

Hence process II is more irreversible than process I.
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Consider the following two processes;I. A heat source at 1200 K loses 2500 kJ of heat to a sink at 800 KII. A heat source at 800 K loses 2000 kJ of heat to a sink at 500 KWhich of the following statements is true?[2010]a)Process I is more irreversible than Process IIb)Process II is more irreversible than Process Ic)Irreversibility associated in both the processes are equald)Both the processes are reversibleCorrect answer is option 'B'. Can you explain this answer?
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