Considering the definition of calorimetry and sensible heat, the change in temperature if the gold releases 0.106 kJ of heat as it cools is 28.78°C.
Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
Sensible heat is the amount of heat that a body absorbs or releases without any changes in its physical state (phase change). It is calculated by the expression:
Q = c× m× ΔT
where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.
In this case, you know:
- Q= 0.106 kJ= 106 J (being 1 kJ=1000 J)
- c= 25.4
- m= 28.5 g×
= 0.145 moles (being 196.967 g/mole the molar mass of gold)
- ΔT= ?
Replacing:
106 J= 25.4 × 0.145 moles× ΔT
Solving:
ΔT=
ΔT= 28.78 C
The change in temperature if the gold releases 0.106 kJ of heat as it cools is 28.78°C.
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