Question:
Identify the correct statements from the following:
(i) For adiabatic process, \(\Delta U = W_{\text{adiabatic}}\)
(ii) Work is a path function.
(iii) Volume is an extensive property.
Identify the correct statements from the following:
(i) For adiabatic process, \(\Delta U = W_{\text{adiabatic}}\)
(ii) Work is a path function.
(iii) Volume is an extensive property.
(i) For adiabatic process, \(\Delta U = W_{\text{adiabatic}}\)
(ii) Work is a path function.
(iii) Volume is an extensive property.
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Remember: Work is a path function, internal energy and enthalpy are state functions, and volume is extensive.
Updated On: Jun 26, 2026
- i, ii, iii
- i, iii only
- ii, iii only
- i, ii only
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The Correct Option is A
Solution and Explanation
Step 1: Analyze statement (i).
For an adiabatic process, no heat is exchanged (\(Q = 0\)), so from the first law of thermodynamics: \[ \Delta U = Q - W = -W = W_{\text{adiabatic}} \] Statement (i) is correct.
Step 2: Analyze statement (ii).
Work depends on the path taken during a process, hence it is a path function.
Step 3: Analyze statement (iii).
Volume depends on the amount of substance and is additive, hence it is an extensive property.
Step 4: Conclusion.
All three statements are correct.
For an adiabatic process, no heat is exchanged (\(Q = 0\)), so from the first law of thermodynamics: \[ \Delta U = Q - W = -W = W_{\text{adiabatic}} \] Statement (i) is correct.
Step 2: Analyze statement (ii).
Work depends on the path taken during a process, hence it is a path function.
Step 3: Analyze statement (iii).
Volume depends on the amount of substance and is additive, hence it is an extensive property.
Step 4: Conclusion.
All three statements are correct.
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