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1.62 g of green algae absorbs 6 xx 10^(-...

`1.62 g` of green algae absorbs `6 xx 10^(-3)` mol `CO_(2)` per hour by photosynthesis. If the fixed `C` atoms are all stroed after photosynthesis as starch `(C_(6) H_(10) O_(5))_(n)`, how long will it take for the alge to double their own weigth?
`[Mw "of" (C_(6)H_(10) O_(5))_(n) = 162 n]`

Text Solution

Verified by Experts

The part of equation involved is:
`6 n CO_(2) rarr (C_(6) H_(10) O_(5))_(n)`
`1.62 g of (C_(6) H_(10) O_(5))_(n)` must be produced to double the weight per hour.
Mol of `CO_(2)` absorbed
`[1.62 of (C_(6) H_(10) O_(5))_(n)] ((1 "mol starch")/(162 n g "starch")) ((6 n mol CO_(2))/("mol starch"))`
`(1.62 xx 1 xx 6n)/(162 n)` (note the `n` is cancelled)
`= 0.06 mol CO_(2)`
Time required `= (0.06 mol CO_(2)) ((1)/(6 xx 10^(-3) mol CI_(2))) = 10 h`
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