Consider a solar plant having an output capacity of 1.0x10° W that receives the energy
of 0.20 kW/m² from the intensity from the sunlight over one complete day. Calculate the
how much should be the area of the solar energy thermal panels should be for photocells
that are operating at efficiency of 20.0%.
(a) 1.6x104 m2
(b) 2.5x107 m2
(c) 3.5x104 m2
(d) 1.6x102 m2
Answers
Given : a solar plant having an output capacity of 1.0x10⁹ W that receives the energy of 0.20 kW/m² from the intensity from the sunlight over one complete day.
To Find :
how much should be the area of the solar energy thermal panels should be for photocells
that are operating at efficiency of 20.0%.
(a) 1.6x10⁴ m²
(b) 2.5x10⁷ m²
(c) 3.5x10⁴ m²
(d) 1.6x10² m²
Solution:
Let say Area should be x m²
Then intensity from the sunlight over one complete day = 0.2x kW
operating at efficiency of 20.0%
Hence output = (20/100) 0.2x = 0.04x kW
0.04x kW = 40x W ( as 1 kw = 1000 W)
40x = 1.0 * 10⁹
=> x = 1.0 * 10⁹/40
=> x = 100 * 10⁷/40
=> x = 2.5 * 10⁷ m²
area of the solar energy thermal panels = 2.5 * 10⁷ m²
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