Estimate the number of panels in an array required to supply hot water to a summer home if 100 gal of tap water per day are to be heated from 10 to 50°C. Assume that the average efficiency of the array is 60 percent and that the average daily insolation intercepted by the array is 5 kw-hr/m²-day. Each panel has an area of 1.5 m².

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Estimate the number of panels in an array required to supply
hot water to a summer home if 100 gal of tap water per day are
to be heated from 10 to 50°C. Assume that the average efficiency
of the array is 60 percent and that the average daily insolation
intercepted by the array is 5 kw-hr/m²-day. Each panel has an
area of 1.5 m².
Consider an array of nine panels arranged in three parallel
strings. Each string has three panels in series. Water flows into
the array at 0.03 kg/sec and divides equally into each string. The
water enters the array at 10°C and leaves at 50°C. The first panel of
each string raises the temperature by 20°C; the second, by 15°C;
and the third, by 5°C. The area of each panel is 1.5 m² and the
intercepted insolation is 800 W/m².
(a) Find the efficiency of each panel of the array.
(b) Find the rate at which heat is collected by the array.
(c) Determine the overall efficiency of the array.
Transcribed Image Text:Estimate the number of panels in an array required to supply hot water to a summer home if 100 gal of tap water per day are to be heated from 10 to 50°C. Assume that the average efficiency of the array is 60 percent and that the average daily insolation intercepted by the array is 5 kw-hr/m²-day. Each panel has an area of 1.5 m². Consider an array of nine panels arranged in three parallel strings. Each string has three panels in series. Water flows into the array at 0.03 kg/sec and divides equally into each string. The water enters the array at 10°C and leaves at 50°C. The first panel of each string raises the temperature by 20°C; the second, by 15°C; and the third, by 5°C. The area of each panel is 1.5 m² and the intercepted insolation is 800 W/m². (a) Find the efficiency of each panel of the array. (b) Find the rate at which heat is collected by the array. (c) Determine the overall efficiency of the array.
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