$Assertion :$ In an isolated system the entropy increases.
$Reason :$ The processes in an isolated system are adiabatic.
$Reason :$ The processes in an isolated system are adiabatic.
AIIMS 2006, Easy
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In an unisolated system, heat may enter into or escape from the system due to which entropy may increase or decrease but for isolated system we do not consider exchange of heat, so, in this case entropy will always increase as the process is spontaneous. An adiabatic process involves no exchange of heat. We also define isolated system as having no exchange of heat with the surrounding so it process in an isolated system are adibatic. The two statements are independently correct but not co-related.
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$S2:$ The first law of thermodynamics is basically the principle of conservation of energy.
$S3:$ The second law of thermodynamics does not allow several phenomena consistent with the first law.
$S4:$ A process,whose only result is to transfer heat from a colder to a hotter object, is impossible.