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Solar Power Hot Water Heater
Heat Problem?

A hot water heater is operated by solar power. If the solar collector has an area of 6.0m^2, and the power delivered by sunlight is 550W/m^2, how long will it take to increase the temperature of 1.0m^3 of water from 20'C to 60'C?
the answer is 50600s=14hr..
please explain how to get that answer.
thanks

conservation of energy i.e.
energy delivered by sun=energy necessary to heat water
supposing that no loss of energy takes place
PAt=mc(t(f)-t(i))
or
t=mc(t(f)-t(i))/PA=1x10^3x4.186x10^3(60-29)/550x6 seconds
the specific heat of water is 1 calorie/gram °C = 4.186 joule/gram °C
put your computer to work!

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