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The entropy change in the conversion of ...

The entropy change in the conversion of water to ice at 272 K for the system is -21.85 `JK^(-1) mol^(-1)` and that of surrounding is +21.93 `JK^(-1)mol^(-1)`. State whether the process is spontaneous or not ?

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`Deltaunderset("total")(S)=Deltaunderset(sys)(S)+Deltaunderset(surr)(S)`
`=-21.85JK^(-1)mol^(-1)+(+21.93JK^(-1)mol^(-1))`
`=0.08JK^(-1)mol^(-1)`
`because underset("process")(Delta)gt0` at 272K, the freezing of ice `H_(2)O_((l))rarrH_(2)O_((s))` is a spontaneous process at 272K.
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