1. In an isolated calorimeter, 105 g of water is placed in a 20-g aluminum cup.
ID: 1870148 • Letter: 1
Question
1. In an isolated calorimeter, 105 g of water is placed in a 20-g aluminum cup. Both the water and the cup start at 32° C. 15 g of ice, initially at 0° C is added to the water and the system is allowed to come to equilibrium. Find the final temperature of the system when it reaches thermal equilibrium. (7 pts.) 2 130 g of water is placed in a 10-g aluminum cup. Both the water and cup start at temperature 40 C. 30 g of ice at an initial temperature of 0° C is added to the water. The ice is allowed to melt and the system comes to equilibrium at a temperature of 19° C. Calculate the latent heat of fusion for water. (7 pts.)Explanation / Answer
1. heat required to melt the ice into water at 0 deg C,
Q1 = m Lf = 15 x 334 = 5010 J
assuming no heat loss,
heat released by water and aluminium = heat absorbed by water at 0 deg C + Q1
(105 x 4.186 x (32 - T)) + (20 x 0.903(32- T)) = 15 x 4.186 x (T - 0) + 5010
14064.96 - 439.53T + 577.28 - 18.04 T = 62.79 T + 5010
T = 18.5 deg C .......Ans
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