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The higher the original temperature, the______ (less/more) effect addition or removal of heat has on entropy

User Alptugay
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Final answer:

The higher the original temperature, the less effect addition or removal of heat has on entropy, reflecting the inverse relationship between temperature and entropy change as per the second law of thermodynamics.

Step-by-step explanation:

The higher the original temperature, the less effect addition or removal of heat has on entropy. This can be understood in the context of the thermodynamic equation for entropy change, ΔS = Q/T, where Q is the heat exchanged and T is the temperature in Kelvins. At higher temperatures, for a given amount of heat Q, the change in entropy ΔS would be smaller because the temperature T is in the denominator; thus, as T increases, ΔS decreases. Conversely, at lower temperatures, the same amount of heat transfer results in a larger change in entropy, highlighting how temperature influences the entropy change associated with heat transfer. This idea also aligns with the second law of thermodynamics, which indicates that entropy will increase in an isolated system as energy is spread out and becomes less available for doing work.

For example, if we consider mixing two masses of water at different temperatures, such as 20.0 °C and 40.0 °C, the resulting mixture will have an intermediate temperature and an increase in entropy. This is a consequence of the direction of heat flow from the warmer to the cooler water until thermal equilibrium is achieved resulting in an entropy increase. Moreover, as the structure of particles can influence entropy, transitions involving particles with heavier masses or more complex molecular structures typically result in higher entropy states.

User Jarchuleta
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