Which of the following substances would release the most amount of heat when they cool from 50oC to 25oC if you started with equal masses of each? :
Magnesium, 1.05 J/goC
Aluminum, 0.920 J/goC
Lead, 0.126 J/goC
heat released(q) = m s ΔT
m is the mass
s is the specific gravity
ΔT is the change in temperature
So
Given
Temperature change is (50-25) oC = 25oC for all and also
equal masses
let mass be m
so
heat released(q) for Magnesium,( s = 1.05 J/goC)
q = m s ΔT
= m 1.05 J/goC 25oC
= 26.25m Joules
heat released(q) for Aluminum, (s=0.920 J/goC)
q = m s ΔT
= m 0.920 J/goC 25oC
= 23m Joules
heat released(q) for Lead, (s=0.126 J/goC)
q = m s ΔT
= m 0.126 J/goC 25oC
= 3.15m Joules
Hence
Magnesium releases most heat
Simply
As all mases and temperature change is equal
q = m s ΔT
depends on S
which has higher s releases most heat among others
so
Magnesium releases most heat
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