Answer:
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:
[tex]Q=cm\(T_2-T_1) [/tex] (1)
with c the specific heat of water that is[tex]c=4200\frac{J}{kg oC} [/tex].
We don't have explicit the mass of water containded in the swimming pool, but we can use the relation:
[tex]m=V\rho [/tex]
with ρ the density of water that is [tex]1000\frac{kg}{m^3} [/tex], V the volume of the swimming pool and m the mass, so m is:
[tex]m=(3.0)(4.0)(3.0)1000=36000kg [/tex]
Using c and m on (1):
[tex]Q=cm(T_2-T_1)=(4200)(36000)(30.0-20.2)=1482 MJ[/tex]
