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 A. 136.48 grams B. 180.16 grams C. 30.03 grams D. 0.76 grams

Answer 1

Answer: The correct answer is Option A.

Step-by-step explanation:

To calculate the number of moles, we use the equation:

`\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}` .....(1)

• For carbon dioxide:

Given mass of carbon dioxide = 200 g

Molar mass of carbon dioxide = 44 g/mol

Putting values in equation 1, we get:

`\text{Moles of carbon dioxide}=(200g)/(44g/mol)=4.54mol`

The given chemical equation of photosynthesis reaction follows:

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

By Stoichiometry of the reaction:

If 6 moles of carbon dioxide produces 1 mole of glucose.

Then, 4.54 moles of carbon dioxide will produce =
`(1)/(6)* 4.54=0.756mol`

Now, calculating the mass of glucose from equation 1, we get:

Molar mass of glucose = 180.2 g/mol

Moles of glucose = 0.756 moles

Putting values in equation 1, we get:

`0.756mol=\frac{\text{Mass of glucose}}{180.2g/mol}\\\\\text{Mass of glucose}=136.48g`

Hence, the correct answer is Option A.