50g of ice at 0 degree celsius is mixed with 50g of water at 80 degree celsius the final temperature.
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we have 50g of ice at 0°C mixed with 50g of water at 80°C.
since, the ice is at lower temperature, it gains heat from water and water loses a part of its energy.
We have , heat lost by water = Heat gained by Ice
Let T be the final temperature attained.
initially, 50g ice will melt into water, the heat gained here is latent heat of fusion of water= =4000 calories(change of state)
The 50g water at 80°C looses 4000 calories to reach the temperature t.
4000 = ms (80 - l)
4000 = 50 × 1 ×(80 - t)
⇒ t = 0
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