Consider the following statements:
(A) Availability is generally conserved.
(B) Availability can neither be negative nor positive.
(C) Availability is the maximum theoretical work obtainable.
(D) Availability can be destroyed in irreversibility's.
Step 1: Understand Availability
Availability refers to the potential to do useful work from a system. It depends on the system's state and environment.
Step 2: Analyze each statement - (A) Availability is generally conserved: Availability is not generally conserved in real processes due to irreversibilities (like friction, heat loss, etc.), so this is false.
- (B) Availability can neither be negative nor positive: This is incorrect, because availability can be positive (if the system can do useful work) or negative (if the system is in a state where it cannot do any work).
- (C) Availability is the maximum theoretical work obtainable: This is true, as availability is the maximum work that can be obtained in a given process.
- (D) Availability can be destroyed in irreversibilities: This is correct, as irreversible processes (e.g., friction, mixing, heat transfer) reduce the availability of a system.
Step 3: Conclusion The correct statements are (C) and (D), so the answer is (4).
Final Answer: \[ \boxed{(C) \, \text{and} \, (D) \, \text{only}} \]
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A perfect gas (0.1 mol) having \( \bar{C}_V = 1.50 \) R (independent of temperature) undergoes the above transformation from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1 to point 4 is ____ J (nearest integer) [Given : R = 0.082 L atm K\(^{-1}\)] 