86.5k views
2 votes
Plants undergo photosynthesis to produce glucose according to the reaction below. What mass of water is required to produce 5.0 grams of glucose?

6CO₂ + 6H₂O ⇒ C₆H₁₂O₆ + 6O₂


Options:

1 . 5.0 grams H₂0
2. 18 grams H₂0
3. 3.0 grams H₂0
4.0.50 grams H₂0

User Kyogs
by
7.3k points

1 Answer

5 votes

Final answer:

To produce 5.0 grams of glucose through photosynthesis, approximately 2.99 grams of water is required.

Step-by-step explanation:

In the photosynthesis reaction, 6 molecules of carbon dioxide (CO2) react with 6 molecules of water (H2O) to produce 1 molecule of glucose (C6H12O6) and 6 molecules of oxygen (O2). To determine the mass of water required to produce 5.0 grams of glucose, we need to calculate the mole ratio between glucose and water, and then use the molar masses of glucose and water. The molar mass of glucose is 180.16 g/mol, and the molar mass of water is 18.015 g/mol.

Step-by-step calculation:

  1. Calculate the number of moles of glucose: Moles of glucose = mass of glucose / molar mass of glucose = 5.0 g / 180.16 g/mol = 0.0277 mol
  2. Use the mole ratio between glucose and water to calculate the number of moles of water: Moles of water = Moles of glucose x (6 moles of water / 1 mole of glucose) = 0.0277 mol x 6 = 0.166 mol
  3. Calculate the mass of water: Mass of water = moles of water x molar mass of water = 0.166 mol x 18.015 g/mol = 2.99 g

Therefore, the mass of water required to produce 5.0 grams of glucose is approximately 2.99 grams.

User Hannah Stark
by
7.6k points