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Question

1 g of dry green algae absorbs 4.7×103 mol of CO2 per hour by photosynthesis. If the fixed carbon atom are stored as starch (C6H10O5)n, how long would it take for the algae to double their own weight assuming photosyntheseis takes place at constant rate?
Give the answer to nearest integer.


Solution

Given, absorption rate of  CO2  = 4.7×103/hr by 1 g of algae and forming starch 
So, mass of algae will be doubled if it forms 1 g of starch 
Mass of (C6H10O5)n = 1 g 
molar mass of starch = 162n 
CO2 gas will be converted into starch ((C6H10O5)n)
Using POAC for carbon atom 
mole of C in  CO2 consumed = moles of C in (C6H10O5)n
Moles of C in CO2 =  6n 1162n
moles of CO2 required = 6162 mol
Time of absorption = 6/1624.7×103 = 7.88 hours 
 

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