The aquarium is filled with 25 liters of water at a temperature of 17 ° C

The aquarium is filled with 25 liters of water at a temperature of 17 ° C. How much hot water at 72 ° C must be added to the aquarium to maintain a temperature of 22 ° C?

Initial data: V (volume of water in the aquarium) = 25 l; t1 (water temperature in the aquarium) = 17 ºС; t2 (hot water temperature) = 72 ºС; t3 (temperature that should be established in the aquarium) = 22 ºС.

The amount of hot water that must be added to the aquarium is determined from the equation: Q1 = Q2: C * ρ * V1 * (t3 – t1) = C * ρ * V2 * (t2 – t3).

V1 * (t3 – t1) = V2 * (t2 – t3).

V2 = V1 * (t3 – t1) / (t2 – t3) = 25 * (22 – 17) / (72 – 22) = 2.5 liters.

Answer: You will need to add 2.5 liters of water to the aquarium.