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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_("ice")` is

A

`11.04 JK^(-1)`

B

`3.16 JK^(-1)`

C

`14.2 JK^(-1)`

D

`7.84 JK^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta S_(ice) = (Delta H_("fusion"))/(T_((mp))) + w underset(T_(1))overset(T_(2))int (Cp.dT)/(T)`
`= (9 xx 335)/(273) + 9 xx 4.18 "ln" (296.97)/(273) = 14.206`
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