Heat
gained or released 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 by the system = mC(T2-T1)
Heat gained by the system = (200 g) (4.18) (30 - 20)
Heat gained by the system = 8360 J
Heat gained =
Heat lost
8360 = - mC(T2-T1)
8360 = m (4.18) (30 - T)
2000 = m (30 - T)
Since the problem above is not complete, we cannot really arrive to a definite value of mass and temperature. So, any value of mass and temperature would be the correct answer as long as it agrees the expression 2000 = m (30 - T).
