Select the correct statement.(a) Work is greater in reversible expansion than irreversible.(b) Work is greater in irreversible expansion than reversible.(c) Work is greater in reversible compression than irreversible.(d) Work is greater in irreversible compression than reversible.b, da, cb, ca, d
Question
Select the correct statement.(a) Work is greater in reversible expansion than irreversible.(b) Work is greater in irreversible expansion than reversible.(c) Work is greater in reversible compression than irreversible.(d) Work is greater in irreversible compression than reversible.b, da, cb, ca, d
Solution
To select the correct statement, we need to compare the work done in reversible and irreversible processes for both expansion and compression.
(a) Work is greater in reversible expansion than irreversible. (b) Work is greater in irreversible expansion than reversible. (c) Work is greater in reversible compression than irreversible. (d) Work is greater in irreversible compression than reversible.
To determine the correct statement, we can analyze the work done in each scenario:
For reversible expansion, the work done is given by the equation W = -PΔV, where P is the pressure and ΔV is the change in volume. Since the process is reversible, the pressure is always slightly higher than the external pressure, resulting in a larger work done compared to irreversible expansion.
For irreversible expansion, the work done is also given by W = -PΔV. However, in this case, the pressure is not adjusted to be slightly higher than the external pressure, resulting in a smaller work done compared to reversible expansion.
For reversible compression, the work done is again given by W = -PΔV. In this case, the pressure is adjusted to be slightly lower than the external pressure, resulting in a larger work done compared to irreversible compression.
For irreversible compression, the work done is still given by W = -PΔV. However, the pressure is not adjusted to be slightly lower than the external pressure, resulting in a smaller work done compared to reversible compression.
Based on this analysis, we can conclude that the correct statement is:
(d) Work is greater in irreversible compression than reversible.
Therefore, the correct answer is (d).
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