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Heat is not exchange between the system ...

Heat is not exchange between the system and its surroundings during free expansion of an ideal gas. Therefore, in this process, q=0. will the change in entropy in this process be zero?

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In free expansion of an ideal gas, no exchange of heat takes place between the system and its surroundings. Because of the expansion, the volume of the gas increases, and and larger space is now available to the gas molecules for their movement. This results in increase in randomness in the system, and hence the entropy of the system increases.
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