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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)`
Final tempeature of water is

A

304.43K

B

296.97 K

C

303.93K

D

287K

Text Solution

Verified by Experts

The correct Answer is:
B
If final temperature is T then we can give expression as like this `36 xx 4.18 xx (323- T)`
`=9 xx 335 + 9 xx (T - 273) xx 4.18`
`48605 - 150.48T = 3015 + 37.62T - 10270.26`
On Solving, T = 296.97K
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