Heat
gained in a system can be calculated by multiplying the given mass to the
specific heat capacity of the substance and the temperature difference. It is
expressed as follows:
Heat = mC(T2-T1)
When two objects are in contact,
it should be that the heat lost is equal to what is gained by the other. From
this, we can calculate things. We do as follows:
Heat gained =
Heat lost
The specific heats of the substances are as follows:
specific heat water = 4.18 J/g°C
specific heat Al = 0.900 J/g°C
specific heat Cu = 0.386 J/g°C
250 g (4.18)( T - 20.0) + 400 g (0.900) ( T - 26.0) + 100 g(0.386) ( T - 100)=0
Solving for T,
T = 24.3 degrees Celsius