Question

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 of the mixture. State the assumption made, if any.

Answer 1

let final temperature be t
loss in temperature= t1 - t
gain in temperature = t - t2
Q 1 = m1 . c1 . t1 - t
Q2= m2 . c2 . t - t2
heat lost = heat gained
m1.c1.t1- t = m2. c2 . t- t2