In this way, between heat and temperature there is a direct proportional relationship (Two magnitudes are directly proportional when there is a constant so that when one of the magnitudes increases, the other also decreases; and the same happens when either of the two decreases .). The constant of proportionality depends on the substance that constitutes the body and its mass, and is the product of the specific heat and the mass of the body. 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, constituted by a substance of specific heat c and where ΔT is the variation in temperature.

In this case:

c= 4.184 $\frac{J}{g*C}$
m=855 g
ΔT= Tfinal - Tinitial= 85 °C - 21°C= 64 °C

Replacing:

Q= 4.184 $\frac{J}{g*C}$ *855 g* 64 C

Solving:

Q= 228,948.48 J

The heat absorbed by the water is 228,948.48 J

6 0

2 years ago