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Collection area of solar water heater

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The average home has a 200 liter (50-60 gallon) hot-water tank, which is effectively drained and replenished three times per day. Assume that the entering tap water is 19 degrees C and is heated to 51 degrees C. Given an average energy from sunlight of 1.53 kJ/cm2 per day, how large would the collection area (in m2) of a solar water heater need to be if its efficiency is 26%? Assume that the price of a solar collector is $375/m2. How much would it cost to install this hot water system?

I don't know where to begin on this. Please give me the answers and formulas used.

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Solution Summary

The question is solved step-by-step equationally with short explanations throughout.

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To solve this problem we need to know how much heat the avergae home needs per day.

heat(q) = mass(m)*specific heat(s)*change in temperature

Mass = (200L)*3 refills = 600L*(1 Kg/1 L) = ...

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