In the laboratory a \"coffee cup\" calorimeter , or constant pressure calorimete

Question

In the laboratory a "coffee cup" calorimeter, or constant pressure calorimeter, is frequently used to determine the specific heat of a solid, or to measure the energy of a solution phase reaction.



A chunk of lead weighing 18.15 grams and originally at 97.74 °C is dropped into an insulated cup containing 85.18 grams of water at 21.30 °C.



The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was determined in a separate experiment to be 1.59 J/°C.



Using the accepted value for the specific heat of lead (See the References tool), calculate the final temperature of the water. Assume that no heat is lost to the surroundings.



Tfinal =  °C.

Explanation / Answer

heat lost by lead = heat gained by water

m*s*DT = m*s*DT

18.15*0.128*(97.74-x) = 85.18*4.18*(x-21.3)

x = final temperature = 21.8 C

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