Answer :
If A 25-gram block of Aluminum has an initial temperature of 35 degree Celcius. The final temperature will be 57.37°C
What is the specific heat constant?
The amount of energy needed to raise the temperature of 1 kilogram of tissue by 1 K (=1°C) is measured by the specific heat capacity of tissue, or c [J/(kg K)]. For instance, fat has a lower specific heat capacity than other soft tissues, which means that it needs less energy to raise temperature. The energy needed to increase the temperature of 1 m3 of tissue by 1 K (=1°C) can be found by multiplying specific heat capacity by mass density (c [J/(m3 K)]), which is the same as a volume-specific heat capacity.
The final temperature can be calculate as follows:
Accordingly, the amount of energy generated is equal to the system's mass times its temperature change and times its specific heat.
Q=mcΔT
where,
Q= the amount of energy generated
m = mass
c = spesific heat
ΔT= temperature change
so, ΔT= final temperature - initial temperature =(x−35) °C
Therefore,
Q=mcΔT
503.38 = 25 × 0.9 × (x - 35)°C
(x - 35) = 503.3 / 25 × 0.9
x = 57.37°C
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