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Levart [38]
3 years ago
9

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 require

d to raise the temperature of the water to 30.0 oC?
Physics
1 answer:
Mademuasel [1]3 years ago
3 0

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:

Q=cm\(T_2-T_1) (1)

with c the specific heat of water that isc=4200\frac{J}{kg oC}.

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

m=V\rho

with ρ the density of water that is 1000\frac{kg}{m^3}, V the volume of the swimming pool and m the mass, so m is:

m=(3.0)(4.0)(3.0)1000=36000kg

Using c and m on (1):

Q=cm(T_2-T_1)=(4200)(36000)(30.0-20.2)=1482 MJ

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