A mass m1 of a substance of specific heat capacity c1 at temperature t1 is mixed with a mass m2 of other substance of specific heat capacity c2 at a lower temperature t2.Deduce the expression for the temperature t of the mixture.State the assumption made,if any.
Assuming that no heat is lost to the surrounding;
Heat lost by hot body = Heat gained by cold body.
Given, Heat lost by hot body = m1× c1× (t1−t)
(because t1 is at higher temperature)
And Heat gained by cold body = m2× c2× (t−t2)
Now,
m1× c1× (t1−t) =m2× c2× (t−t2)