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A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well?
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A system undergoes two cyclic processes 1 & 2. Process 1 is reversible...
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A system undergoes two cyclic processes 1 & 2. Process 1 is reversible...
And 2. In process 1, the system absorbs heat Q1 from a hot reservoir at temperature T1 and rejects heat Q2 to a cold reservoir at temperature T2. In process 2, the system absorbs heat Q3 from a hot reservoir at temperature T3 and rejects heat Q4 to a cold reservoir at temperature T4. Both processes are reversible.
The first law of thermodynamics states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
For a cyclic process, the change in internal energy is zero, since the system returns to its initial state. Therefore, for both processes 1 and 2:
Q1 - W1 = 0
Q3 - W2 = 0
Since the processes are reversible, the work done by the system can be expressed as:
W = Q - Qc
Where Qc is the heat rejected by the system.
For process 1:
W1 = Q1 - Q2
For process 2:
W2 = Q3 - Q4
Since the processes are cyclic, the net work done by the system is equal to the sum of the work done in both processes:
Wnet = W1 + W2
Substituting the expressions for W1 and W2:
Wnet = (Q1 - Q2) + (Q3 - Q4)
Since the net work done by the system is zero (due to the cyclic nature of the processes), we have:
0 = (Q1 - Q2) + (Q3 - Q4)
Rearranging the equation:
Q1 + Q3 = Q2 + Q4
This equation is known as the Clausius statement of the second law of thermodynamics, which states that for any two cyclic processes, the sum of the heat absorbed at higher temperatures is equal to the sum of the heat rejected at lower temperatures.
The first law of thermodynamics states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
For a cyclic process, the change in internal energy is zero, since the system returns to its initial state. Therefore, for both processes 1 and 2:
Q1 - W1 = 0
Q3 - W2 = 0
Since the processes are reversible, the work done by the system can be expressed as:
W = Q - Qc
Where Qc is the heat rejected by the system.
For process 1:
W1 = Q1 - Q2
For process 2:
W2 = Q3 - Q4
Since the processes are cyclic, the net work done by the system is equal to the sum of the work done in both processes:
Wnet = W1 + W2
Substituting the expressions for W1 and W2:
Wnet = (Q1 - Q2) + (Q3 - Q4)
Since the net work done by the system is zero (due to the cyclic nature of the processes), we have:
0 = (Q1 - Q2) + (Q3 - Q4)
Rearranging the equation:
Q1 + Q3 = Q2 + Q4
This equation is known as the Clausius statement of the second law of thermodynamics, which states that for any two cyclic processes, the sum of the heat absorbed at higher temperatures is equal to the sum of the heat rejected at lower temperatures.
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A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well?
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A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well?.
A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well?.
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A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well?, a detailed solution for A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well? has been provided alongside types of A system undergoes two cyclic processes 1 & 2. Process 1 is reversible and process two is irreversible. The correct statement relating the two processes is - A) ∆S (for process 1)=0,(process 2) ≠0 B) q(cyclic)=0 for process 1 and ≠0 for process 2 C) More heat can be converted to work in 1 than 2 D) More work can be converted to heat in 1 than 2 . The answer given in arihant's book is B. B is correct, but isn't option C correct as well? theory, EduRev gives you an
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