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The radiant energy incident on the earth\'s surface on j sunny day is roughly 90

ID: 1007974 • Letter: T

Question

The radiant energy incident on the earth's surface on j sunny day is roughly 900.0 W/m-. Collecting and focusing sunlight and using the focused beam to heat a fund costs of fossil -fuel combustion becomes an increasingly attractive alternative. Suppose a house is to be designed that will have, cculat.no forced .,,r central heat.no unit. and solar energy is conventional furnace to be used on cloudy days). area of the solar collector plates' Assume 30.0% of the radiant -energy incident on the plates is used to heat the air. click if you would like to show work for this question.

Explanation / Answer

mass of air flown per minute, m = 1500.0 m3 x (1225 g/m3) = 1837500 g

Heat energy required to change temperature from 25 DegC to 60 DegC

Q = mxsxdT = 1837500 g x (1.01 J/g.DegC) x (60 - 25) DegC

=> Q = 64955625 J / min

Hence energy required to be transferred per second, P = Q / t(s) = 64955625 J / 60 sec = 1082594 W

power supplied per m2 of the plate with 30.0 % efficiency

= (900 W/m2) x 30/100 = 270 W/m2  

Hence total area of plate required

= 1082594 W /  270 W/m2 = 4010 m2 (answer)

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