. 200 g of hot water at 80o C is added to 300 g of cold water at 10oC
200 g of hot water at 80o C is added to 300 g of cold water at 10oC. Neglecting the heat taken by the container, calculate the final temperature of the mixture of water. Specific heat capacity of water = 4200 J kg-1 K-1.
Mass of hot water (m1) = 200 g
Temperature of hot water (T1) = 800 C
Mass of cold water (m2) = 300 g
Temperature of cold water (T2) = 100 C
Final temperature (T) =?
m1c1 (T1 – T) = m2c2 (T – T2)
c1 = c2
T = m1T1 + m2T2 / m2 + m1
T = [(200 × 80) + (300 × 10)] / 500
T = (16000 + 3000) / 500
T = 19000 / 500
T = 380 C