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Arrange the following in order of magnitude of work done by the system/on the system at constant temperature. (a) Wreversible for expansion in infinite stages (b) Wirreversible for expansion in single state (c) Wreversible for compression in infinite stages (d) Wirreversible for compression in single stage Choose the correct answer from the options given below. (1) c = a > d > b (2) d > c = a > b (3) a > c > b > d (4) a > b > c > d
- (1) c = a > d > b
- (2) d > c = a > b
- (3) a > c > b > d
- (4) a > b > c > d
Correct answer: (2) d > c = a > b
Solution
The correct option indicates that the work done during irreversible compression in a single stage is greater than that during reversible compression and expansion in infinite stages, which is due to the higher pressure exerted in a single irreversible process compared to the gradual changes in reversible processes. Additionally, irreversible processes typically require more work to achieve the same volume change compared to reversible ones.
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