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Given an example of a process which is s...

Given an example of a process which is simulataneously isothermal and adiabatic.

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Adiabatic free expansion of an ideal gas (or isothermal free expansion of an ideal gas). The reason is that no exchange of heat occurs between the system and surroundings in this process and the temperature of the system remains constant throughout the process.
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CHHAYA PUBLICATION-CHEMICAL THERMODYNAMICS-QUESTION ANSWER ZONE FOR BOARD EXAMINATION (VERY SHORT ANSWER TYPE)
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  15. What will be the change in entropy in an irreversible cyclic process ?

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