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At midday, solar energy strikes the earth with an intensity of about 1 kW/m2 . What is the area of a solar collector that could collect 150 MJ of energy in 1 hour

Respuesta :

Answer:

A = 41.67 m²

Explanation:

  • The intensity is defined as power received per unit surface, as follows:

        [tex]I = \frac{P}{A} = 1 kW/m2 (1)[/tex]

  • By definition, power is just the rate of change of energy with time, so we can write the following equation:

       [tex]P = \frac{\Delta E}{\Delta t} (2)[/tex]

  • From the givens, we know the following:
  • ΔE = 150 MJ
  • Δt = 1 hour = 3600 sec.

⇒    [tex]P = \frac{150 MJ}{3600s} = 41.67 kW (3)[/tex]

  • Replacing (3) in (1), and solving for A, we get:
  • A = 41.67 m² , which is the area of a solar collector that could collect 150MJ of energy in 1 hour, as needed.