A student drops two metallic objects into a 24g steel container holding 105g of
ID: 1703144 • Letter: A
Question
A student drops two metallic objects into a 24g steel container holding 105g of water at 29 degrees celcius. One object is a 351g cube of copper that is initially at 58 degrees celcius, and the other is a chunk of aluminum that is initially at 3.8 degrees celcius. To the student's surprise, the water reaches a final temperature of 29 degrees celcius, precisely where it started. What was the mass of the aluminum chunk? Assume the specific heat of aluminum and copper is 900 J/kg x degrees celcius and 387 J/kgx degrees celcius, respectively. Answer in units of kg.Explanation / Answer
According to conservation of energy we have Heat lost by the copper piece = heat gained by the aluminium piece Q = Q' m.c.dT= m'.c'.dT' 351 g x0.9J/g.C x(58 -29) = m' x 0.387 J/g.C x (29 - 3.8) m' = 939.4 g = 0.9394 kg
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