Question

Plants breathe in carbon dioxide to make sugar through photosynthesis. How much sugar can they create if 200 grams of carbon dioxide are used ?6 CO2 + 6 H2O -> C6H12O6 + 6 O2

Answer 1

Answer:

$\boxed{\text{136 g}}$

Explanation:

We will need an equation with masses and molar masses, so let’s gather all the information in one place.  

M_r:   44.01                      180.16

          6CO₂ + 6H₂O ⟶ C₆H₁₂O₆ + 6O₂

m/g:    200

1. Moles of CO₂

$\text{Moles of CO}_{2} = \text{200 g CO}_{2} \times \dfrac{\text{1 mol CO}_{2}}{\text{ 44.01g CO}_{2}} = \text{4.54 mol CO}_{2}$

2. Moles of C₆H₁₂O₆

The molar ratio is 1 mol C₆H₁₂O₆:6 mol CO₂

$\text{Moles of C _{6} H _{12} O}_{6} =\text{4.54 mol CO}_{2} \times \dfrac{\text{1 mol C _{6} H _{12} O}_{6}}{\text{6 mol CO}_{2}} = \text{0.757 mol C _{6} H _{12} O}_{6}$

3. Mass of C₆H₁₂O₆

$\text{Mass of C _{6} H _{12} O}_{6} = \text{0.757 mol C _{6} H _{12} O}_{6} \times \dfrac{\text{180.16 g C _{6} H _{12} O}_{6}}{\text{1 mol C _{6} H _{12} O}_{6}} =\textbf{136 g C _{6} H _{12} O}_{6}\\\\\text{The plants can create }\boxed{\textbf{136 g C _{6} H _{12} O}_{6}}$