A liquid of mass m and specific heat c is heated to a temperature 2T. Another liquid of mass m/2 and specific heat 2c is heated to a temperature T. If these two liquids are mixed, the resulting temperature of the mixture is
Initial heat energy of system = Final heat energy of the system.
Temperature of mixture is given by \(T = \frac{m_1c_1T_1+m_2c_2T_2}{m_1c_1+m_2c_2}
= \frac{m.c.2T+\frac{m}{2}.2.c.T}{m.c.+\frac{m}{2}.2c} = \frac{3}{2}T\)