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9.0g m ice at 0^(@)C is mixed with 36gm ...

9.0g m ice at `0^(@)C` is mixed with 36gm of water at `50^(@)C` in a thermally insulated container, using the following data, answer the question that follow: `C_(P (H_(2)O)) = 4.18 Jg^(-1) K^(-1), Delta H_("fusion")` (ice) = `335 J g^(-1)`
`Delta S_("water")` is

A

`-12.64 JK^(-1)`

B

`-0.34 JK^(-1)`

C

`-5.42 JK^(-1)`

D

`12.64 JK^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Delta S_("water") = w underset(T_(1))overset(T_(2))int (Cp dT)/(T)`
`=36 xx 4.18 "ln " (296.97)/(323) = - 12.643 JK^(-1)`
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