Given parameters:
Amount of heat = 105calories
Mass of aluminium = 100g
Initial temperature = 20°C
Final temperature = 25°C
Unknown:
Specific heat of aluminium = ?
The amount of heat absorbed by a substance is the quantity of heat required to change the temperature of a system by 1°C.
Mathematically;
H = m C (ΔФ)
where H is the amount of heat
m is the mass of the substance
C is the specific heat
ΔФ is the change in temperature
Now to find specific heat capacity, we make it the subject of the formula of the expression;
C = [tex]\frac{H }{m x change in temperature}[/tex]
Change in temperature = Final temperature - initial temperature
= 25°C - 20°C
= 5°C
C = [tex]\frac{105calories}{100g x 5}[/tex] = 0.21cal/g°C
The specific heat of the aluminium is 0.21cal/g°C
