A hot water tap of a bath delivers water at 85⁰C at a rate of 8Kg per minute .the cold water tap at the bath delivers water at 30⁰C at the rate of 20kg per minute. If both tapes are at a time is 5 minute. Calculate the final temperature if both water, ignoring heat loses to the surrounding

1 answer

To calculate the final temperature, we can use the principle of conservation of energy. The total heat energy lost by hot water must be equal to the total heat energy gained by the cold water.

Let the final temperature be T (in °C).

Heat lost by hot water = Heat gained by cold water
Mass_hot_water * specific_heat_capacity * (T - 85) = Mass_cold_water * specific_heat_capacity * (T - 30)

8 * (T - 85) = 20 * (T - 30)
8T - 680 = 20T - 600
12T = 80
T = 80 / 12
T ≈ 6.67°C

Therefore, the final temperature when both hot and cold water are mixed for 5 minutes is approximately 6.67°C.