Taking into account the definition of calorimetry, the mass of the sample is 478.41 grams.
Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
Sensible heat is defined as the amount of heat that a body absorbs or releases without any changes in its physical state (phase change).
So, 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, made up of a specific heat substance c and where ΔT is the temperature variation.
In this case, you know:
Replacing:
-543 J= 0.227 [tex]\frac{J}{gC}[/tex]× m× (-5 C)
Solving:
[tex]m=\frac{-543 J}{0.227 \frac{J}{gC}x(-5 C)}[/tex]
m=478.41 grams
In summary, the mass of the sample is 478.41 grams.
Learn more about calorimetry: