Solar Panel Efficiency Rating

If you want to rely on solar electricity exclusively, how many solar panels will you need to buy?
Solar energy is one of the most important components of a renewable energy future. Your parents are considering installing photovoltaic cells, which convert the sun’s energy directly into electricity, on their roof, and have asked for your help. You do some research and learn that, on a sunny day in Idaho, sunlight at the earth’s surface provides about 0.75 kilowatt/m2. Solar panels have an area of 0.5 square meter, operate at 10% efficiency, and cost $63. Your parents use electricity at a rate of 2 kW.
1. If your parents want to rely on solar electricity exclusively, how many solar panels will they need to buy? How big must their roof be (in feet) to hold the array of panels?
2. If electricity costs $0.08 per kilowatt-hour, how long will it take your parents to recoup their initial investment?
Since there are 24 hours in a day, to be completely off-grid you also need battery back-up, a charge converted, and an inverter.
Buut I digress.
I think the questin is asking how to generate peak power of 2 kw
1 solar panel generate
.5*0.75*0.10 kw
0.0375 kw
for 2 kw
2/0.0375
54 panels
the square footage is 27 m^2
291 square feet.
the cost is 54*63
$3,402
at 2 kw/hr
3402/(2*0.08) hours
21262 hours
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