Does the entropy of the system increase, decrease, or stay the same when the volume of a gas increases?

Introductory Chemistry: A Foundation
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ISBN:9781337399425
Author:Steven S. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Donald J. DeCoste
Chapter10: Energy
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Does the entropy of the system increase, decrease, or stay the same when the volume of a gas increases?

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Entropy is the thermal energy of a system per unit of temperature. This energy is not available for useful work. This is also known as the measure of randomness of molecules of a system. It also accounts for the spontaneity of various reactions. An increase in entropy i.e. positive entropy supports a spontaneous reaction i.e. negative Gibb's free energy. Entropy can be determined by using the formula:

S=kblnΩ where S is entropy, Kb is Boltzmann constant, and Ω is possible microscopic configurations.

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