An object with a mass of #12 g# is dropped into #240 mL# of water at #0^@C#. If the object cools by #120 ^@C# and the water warms by #6 ^@C#, what is the specific heat of the material that the object is made of?
We know that in such interactions heat is gained by one and heat is lost is by the other.
Also that the heat gained/lost is given by
In the given problem heat is lost by the object and gained by water at
Heat gained by water
And heat lost by object whose specific heat is
Equating (1) and (2) and solving for the required quantity