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**Please write so it\'s possible to read, had problems in the past with a good a

ID: 1875812 • Letter: #

Question

**Please write so it's possible to read, had problems in the past with a good answer that wasn't legible at all Appreciate it

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5. A large maple tree collects sunlight over an area that is 8 m in diameter. The average solar radiation is 168 W/m2. The tree grows for 8 months of the year and is dormant for 4 months of the year. After ten years the mass of the tree has increased by 540 kg. What is the efficiency of converting sunlight into chemical energy?

Explanation / Answer

5. d = 8 m

S = 168 W/m^2

the tree has grown for 10*8 = 80 months = 207360000 s = t

every day lets assume half of the day is spent converting light to energy

hence

t' = t/2 = 103680000 s

now, energy recieved = S*pi*d^2*t'/4

E = 875536237159.4220 J = 8.75536237*10^11

now, energy in the form of mass dm = 540 kg

calorific value of wood = 20*10^6 J/kg

hence U = 20*10^6*540 = 1.08*10^10 J

hence efficiency = U*100/E = 1.23358 %