Why entropy change for a reversible adiabatic process is zero ?

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ds= dq/T . In a adiabatic process dq=o .therefore ds=0
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For reversible process entropy change (?S)=?Q/T where ?Q=heat transfer to the system at boundary Temple T....and we know ?Q=0 for adiabatic so ?S=0
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Entropy change is associated solely with HEAT TRANSFER. Reversible Adiabatic process is process with no heat transfer.Hence, Entropy is zero.Therefore,it is also called isentropic process.(same entropy )
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Entropy is state function. Gain of energy will be equal to loss of energy
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