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

`\boxed{\text{136 g}}`

Step-by-step 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) * \frac{\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) * \frac{\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) * \frac{\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)}`