When you mix two substances that are initially at different temperatures, the ho

Question

When you mix two substances that are initially at different temperatures, the hotter substance cools and the colder substance warms until they reach a common temperature. Then the substances are said to be in thermal equilibrium. For our purposes assume that the heat is exchanged only between the hot and cold materials and that no heat is lost to the surroundings. The specific heat capacity of water is 1.0 cal/(g C degree ) and the specific heat capacity of copper is 0.092 cal/(g C degree ) What would be the final temperature when 110 g of hot water at 80 degree C is combined with 120 g of cold water at 30 degree C. What would be the final temperature when 270 g of copper at 250 degree C is combined with 120 g of cold water at 30 degree C. T final =

Explanation / Answer

a)From energy conservation

110*1*(80 - Tf) = 120*0.092 (Tf -30)

Tf = 79.98 degree celcius (ans)

b) 270*0.092 * (250 - Tf) = 120*1*(Tf -30)

Tf = 67.73 degree celcius (ans)

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