Difficulty: Easy
Correct Answer: all of the above
Explanation:
Introduction / Context:
Irreversibility reduces the maximum useful work obtainable and increases entropy. Recognizing its sources helps engineers design more efficient systems.
Given Data / Assumptions:
Concept / Approach:
Common irreversibilities include friction (mechanical, viscous), free expansion and unrestrained mixing, and heat transfer across finite temperature differences. Each produces entropy and prevents recovery of energy as useful work.
Step-by-Step Solution:
Mechanical/fluid friction dissipates mechanical energy into internal energy, increasing entropy.Unrestricted expansion or mixing proceeds without a restoring force, creating entropy directly.Heat transfer with finite ΔT causes entropy generation because Q flows spontaneously from hot to cold with σ = Q * (1/T_cold − 1/T_hot) > 0.Therefore, all listed mechanisms contribute to irreversibility.
Verification / Alternative check:
Entropy balance for control volumes confirms positive entropy generation (S_gen ≥ 0) in each of these cases, aligning with the second law.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming that eliminating one source (e.g., mechanical friction) makes a process reversible; finite ΔT heat transfer or fluid friction still generate entropy.
Final Answer:
all of the above
Discussion & Comments