A solar power plant is to be built with an average power output capacity of 2550

Question

A solar power plant is to be built with an average power output capacity of 2550 MW in a location where the average power from the sun's radiation is 200 W/m2 at the earth's surface.

Part A:

What land area (in km2 ) must the solar collectors occupy if they are photocells with 45.0%?

Part B:

What land area (in mi2) must the solar collectors occupy if they are photocells with 45.0%?

Part C:

What land area (in km2 ) must the solar collectors occupy if they are mirrors that generate steam for a turbinegenerator unit with an overall efficiency of 21.0%?

Part D:

What land area (in mi2) must the solar collectors occupy if they are mirrors that generate steam for a turbinegenerator unit with an overall efficiency of 21.0%?

Explanation / Answer

A)let the land area be x km^2.

so,Power received = 200*x*10^6

since efficiency is 45%,

0.45*200*x = 2550

or x=28.33 km^2

B)1 sq km = 0.3861 mi^2

so area = x*0.3861

=28.33*0.3861

=10.93 mi^2

C)let the land area be x km^2.

so,Power received = 200*x*10^6

since efficiency is 21%,

0.21*200*x = 2550

or x=60.71 km^2

B)1 sq km = 0.3861 mi^2

so area = x*0.3861

=60.71*0.3861

=23.44 mi^2

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