A swimming pool, 10.0 m by 4.0 m is filled to a depth of 3.0 m with water at a temperature of 20.2oC. How much energy is required to raise the temperature of the water to 30.0 oC?

It is required 1482 Megajoules of energy.

Explanation:

The energy Q required to raise the temperature T1 to a temperature T2 of mass m of water is:

(1)

with c the specific heat of water that is.

We don't have explicit the mass of water containded in the swimming pool, but we can use the relation:

with ρ the density of water that is , V the volume of the swimming pool and m the mass, so m is:

Using c and m on (1):

c. magnitude and direction