Water at 100 kPa and 150°C receives 75 kJ/kg in a reversible process by heat transfer. Which process changes entropy the most: constant temperature, constant volume, or constant pr... Water at 100 kPa and 150°C receives 75 kJ/kg in a reversible process by heat transfer. Which process changes entropy the most: constant temperature, constant volume, or constant pressure?
Understand the Problem
The question is asking which thermodynamic process (constant temperature, constant volume, or constant pressure) results in the greatest change in entropy (s) for water at the given conditions. We will compare the entropy changes for each process under reversible conditions given the heat transfer involved.
Answer
The process that changes entropy the most is the constant temperature (isothermal) process.
The process that changes entropy the most is the constant temperature (isothermal) process.
Answer for screen readers
The process that changes entropy the most is the constant temperature (isothermal) process.
More Information
In thermodynamics, the change in entropy is affected by both heat transfer and the process path. For a given amount of heat transfer, the change in entropy is maximized when the process is isothermal since the temperature remains constant, which increases the divisor in the entropy change formula ( \Delta S = \frac{Q}{T} ).
Tips
A common mistake is to assume that isobaric or isochoric processes result in larger entropy changes, without considering the fundamental definition of entropy change as dependent on temperature in the path taken.
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