By definition of calotimetry, the final temperature of a gold nugget is 24.23 C.
But first, you have to know that calorimetry is the science that is responsible for measuring the amount of heat generated or lost in certain physical or chemical processes.
It is possible to verify that between heat and temperature there is a direct proportionality relationship, where constant of proportionality depends on both the substance that constitutes the body and its mass.
Therefore the equation that allows to calculate heat exchanges is:
Q = c×m×ΔT
where Q is the heat exchanged by a body of mass m, constituted by a substance whose specific heat is c, where ΔT is the temperature variation experienced.
In this case, you know that:
Replacing in the equation for calorimetry:
-4850 J= 0.128 [tex]\frac{J}{gxC}[/tex] ×376 g× (Tfinal - 125 C)
Solving:
-4850 J= 48.128 [tex]\frac{J}{C}[/tex]× (Tfinal - 125 C)
-4850 J÷ 48.128 [tex]\frac{J}{C}[/tex]= Tfinal - 125 C
-100.77 C + 125 C= Tfinal
24.23 C= Tfinal
In summary, the final temperature of a gold nugget is 24.23 C.
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