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: \[ \boxed{(C) \, \text{and} \, (D) \, \text{only}} \]
| LIST I | LIST II |
| A. Reynold’s Number | III. Inertia force to viscous force |
| B. Mach Number | I. Inertia force to elastic force |
| C. Froude’s Number | II. Inertia force to gravity force |
| D. Weber’s Number | IV. Inertia force to surface tension force |
| List-I (Dimensionless Numbers) | List-II (Relationship) |
|---|---|
| (A) Froude's Number | (II) \( \sqrt{\frac{\text{Inertia force}}{\text{Gravity force}}} \) |
| (B) Mach's Number | (IV) \( \sqrt{\frac{\text{Inertia force}}{\text{Elastic Force}}} \) |
| (C) Euler's Number | (I) \( \frac{\text{Pressure Force}}{\text{Inertia Force}} \) |
| (D) Weber's Number | (III) \( \frac{\text{Inertia Force}}{\text{Surface Tension Force}} \) |
| List-I | List-II |
|---|---|
| (A) Work done in a polytropic process | (IV) \( \frac{p_1 V_1 - p_2 V_2}{n - 1} \) |
| (B) Work done in a steady flow process | (I) \( - \int v \, dp \) |
| (C) Heat transfer in a reversible adiabatic process | (II) Zero |
| (D) Work done in an isentropic process | (III) \( \frac{p_1 V_1 - p_2 V_2}{\gamma - 1} \) |