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Which of the following statement’s are correct ?
  • a)
    For a mechanical isolated system kept at constant temperature the Helmholtz free energy never increases.
  • b)
    For a mechanical isolated system kept at constant temperature the state of equilibrium is the state of minimum Helmholtz free energy.
  • c)
    For a system kept at constant temperature and pressure the Gibbs potential never increases.
  • d)
    For a system kept at constant temperature and pressure the state of equilibrium is the state of minimum Gibb’s potential
Correct answer is option 'A,B,C,D'. Can you explain this answer?
Verified Answer
Which of the following statement’s are correct ?a)For a mechanic...
We know that the Helmholtz free energy A and the Gibb’s thermodynamics potential G are defined as 
A = U - TS 
G = A + PV
Let a system undergo A to state B. Then we have from the second law that

since T is constant 

where  Δq is the amount of heat absorbed during the transformation and ΔS = 
S(B) - S(A)
W ≤ -Δu + TΔS
where W is the work done by the system, since
W ≤ -ΔA
∴ Fora mechanically isolated system kept at constant temperature the Helmholtz free energy never increases.
or the state of equilibrium is the state of minimum Helmholtz free energy.
Again if T is constant w ≤ - ΔA
PΔV + ΔA ≤ 0
ΔG ≤ 0 ∴ minimum Gibbs potential
dG = -SdT + VdP

H = U + PV ⇒ dH = TdS + VdP 
which follows that
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Which of the following statement’s are correct ?a)For a mechanic...
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Which of the following statement’s are correct ?a)For a mechanical isolated system kept at constant temperature the Helmholtz free energy never increases.b)For a mechanical isolated system kept at constant temperature the state of equilibrium is the state of minimum Helmholtz free energy.c)For a system kept at constant temperature and pressure the Gibbs potential never increases.d)For a system kept at constant temperature and pressure the state ofequilibrium is the state of minimum Gibb’s potentialCorrect answer is option 'A,B,C,D'. Can you explain this answer?
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Which of the following statement’s are correct ?a)For a mechanical isolated system kept at constant temperature the Helmholtz free energy never increases.b)For a mechanical isolated system kept at constant temperature the state of equilibrium is the state of minimum Helmholtz free energy.c)For a system kept at constant temperature and pressure the Gibbs potential never increases.d)For a system kept at constant temperature and pressure the state ofequilibrium is the state of minimum Gibb’s potentialCorrect answer is option 'A,B,C,D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following statement’s are correct ?a)For a mechanical isolated system kept at constant temperature the Helmholtz free energy never increases.b)For a mechanical isolated system kept at constant temperature the state of equilibrium is the state of minimum Helmholtz free energy.c)For a system kept at constant temperature and pressure the Gibbs potential never increases.d)For a system kept at constant temperature and pressure the state ofequilibrium is the state of minimum Gibb’s potentialCorrect answer is option 'A,B,C,D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement’s are correct ?a)For a mechanical isolated system kept at constant temperature the Helmholtz free energy never increases.b)For a mechanical isolated system kept at constant temperature the state of equilibrium is the state of minimum Helmholtz free energy.c)For a system kept at constant temperature and pressure the Gibbs potential never increases.d)For a system kept at constant temperature and pressure the state ofequilibrium is the state of minimum Gibb’s potentialCorrect answer is option 'A,B,C,D'. Can you explain this answer?.
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