A 50. 0-g sample of water at 80°C is added to a 50. 0-g sample of water at 20°C. The final temperature of the water should be



Answer :

A 50. 0-g sample of water at 80°C is added to a 50. 0-g sample of water at 20°C. The final temperature of the water should be 50 °C.

mass of water,  m1 = 50 g

temperature, T1 = 80°C

mass of water, m2 = 50 g

temperature, T2 = 20°C

Final temperature = ?

C = 1

Formula

                 mCΔT = - mCΔT

Substitution

                 50(Te - 80) = - 50(Te - 20)

               50 Te - 4000 = - 50 Te + 1000

            50Te + 50Te = 1000 + 4000

                         100Te = 5000

                                Te = 5000 / 100

                                Te = 50 °C

The final temperature of the water should be 50 °C.

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