Properties Of Solids And Liquids Question 446

Question: 300 gm of water at $ 25{}^\circ C $ is added to 100 g of ice at$ 0{}^\circ C $ . The final temperature of the mixture is

Options:

A) $ -\frac{5}{3}{}^\circ \text{C} $

B) $ -\frac{5}{2}{}^\circ C $

C) $ 5{}^\circ C $

D) $ 0{}^\circ C $

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Answer:

Correct Answer: D

Solution:

[d] $ {\theta _{mix}}=\frac{m _{W}{\theta _{W}}-\frac{m _{i}L _{i}}{S _{W}}}{m _{i}+m _{W}} $

$ =\frac{300\times 25-\frac{100\times 80}{1}}{100+300}=-1.25{}^\circ C $ Which is not possible. Hence $ {\theta _{mix}} = 0{}^\circ C $



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