73.5 g of aluminum is heated in boiling water to a temperature of 98.7C. the Aluminum is then placed in a calorimeter containing 1500.0 g of water at a temperature of 25.40C. The temperature of the water in the calorimeter increase to a final temperature of 28.20C. What is the specific heat of the Aluminum

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Explanation:

Let us assume that if the calorimeter is ideal and absorbs no heat, then heat absorbed by the water will be as follows.

                          q = [tex]m \times C \times (T_{2} - T_{1})[/tex]

                 q = [tex]1500.0 g \times 4.184 J/g^{o}C \times (28.20 - 25.40)^{o}C[/tex]

                   = [tex]1.757 \times 10^{4} J[/tex]

Therefore, the aluminum lost will be [tex]-1.757 \times 10^{4} J[/tex]. Hence, for the aluminum:

                         q = [tex]m \times c \times (T_{2} - T_{1})[/tex]

  [tex]-1.757 \times 10^{4} J = 73.5 g \times C \times (28.20 - 98.7)^{o}C[/tex]

                         C = [tex]\frac{-1.757 \times 10^{4} J}{73.5 g \times (-70.5^{o}C)}[/tex]

                            = [tex]0.0003390 \times 10^{4} J/g^{o}C[/tex]

                            = 3.39 [tex]J/g^{o}C[/tex]

Therefore, we can conclude that specific heat of aluminium under given conditions is 3.39 [tex]J/g^{o}C[/tex].

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