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Calorimetry is a way to determine the amount of heat flow that occurs in a
process. In thermodynamics, we divide up the universe into two parts: the system
and the surroundings. A calorimeter is a well insulated device that surrounds
the system. Since it is insulated, heat doesn't flow from the calorimeter to the
outside world. Thus, any heat that flows out of the reaction will be absorbed by
the calorimeter and can be measured by the change in temperature of the
calorimeter. In the same way, if the reaction is endothermic, the heat flow into
the system will come from the calorimeter, thus cooling the calorimeter.
Mathematically, this can be written as qsystem = -qcal.
(You will often see qreaction used for qsystem.) Since
qcal = Ccal*DT, you can use the
change in temperature of the calorimeter to determine q for the calorimeter, and
thus q for the system. It is necessary to calibrate the calorimeter to determine
Ccal, the heat
capacity of the calorimeter.
Examples:
A reaction occurs in a calorimeter. If the heat
capacity Ccal of the calorimeter is 1.64 kJ/oC and the
reaction causes the temperature of the calorimeter to rise from 25.0 to 29.6
oC, what is qcal? What is qsystem?
Solution: Use the two relations qcal =
Ccal*DT and qcal =
-qreaction
Ccal = 1.64 kJ/oC DT = (Tf-Ti) = (29.6-25.0) =
4.6oC
qcal = 1.64 kJ/oC *
4.6oC = 7.5 kJ. qreaction = -qcal = -7.5 kJ.
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