Plants breathe in carbon dioxide to make sugar through photosynthesis. How much sugar can they create if 200 grams of carbon dioxide are used?

Question

asked Mar 12, 2020 190k views

1 Answer

Mervin · Answer 1 · 2020-03-17T21:10:13+0000

Answer: 135 grams of sugar.

Step-by-step explanation:

According to avogadro's law, 1 mole of every substance occupies 22.4 Liters at STP and contains avogadro's number
6.023* 10^(23) of particles.

To calculate the moles, we use the equation:

$\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}$

$\text{Number of moles of carbon dioxide=(200g)/(44g/mol)=4.5moles$

CO_2 acts as limiting reagent as it limits the formation of product.

$6CO_2+6H_2O\rightarrow C_6H_(12)O_6+6O_2$

According to stoichiometry:

6 mole of
CO_2 reacts to give 1 mole of sugar

Thus 4.5 moles of
CO_2 will react to give=
(1)/(6)* 4.5=0.75 moles of sugar

Mass of
C_6H_(12)O_6=moles* Molar mass=0.75moles* 180g/mol=135grams

Thus 135 grams of sugar can be created.