8.856 grams of water is needed by the plant to make 14.9 grams of glucose.
Explanation:
Data given
mass of glucose needed by plant = 14.9 grams
mass of water needed =?
balanced chemical equation:
6C[tex]O_{2}[/tex] + 6 [tex]H_{2}[/tex][tex]O_{}[/tex] ⇒ [tex]C_{6}H_{12} O_{6}[/tex] + 6 [tex]O_{2}[/tex]
molar mass of glucose = 180.15 grams/mole
number of moles = [tex]\frac{mass}{molar mass}[/tex]
number of moles = [tex]\frac{14.9}{180.15}[/tex]
number of moles= 0.082 moles
from the equation:
1 mole of glucose is produced by 6 moles of water
0.082 moles of glucose is produced by x mole of water
[tex]\frac{6}{1}[/tex] = [tex]\frac{x}{0.082}[/tex]
x = 0.492 moles of water
atomic mass of water = 18 grams/mole
mass of water required = number of moles x atomic mass of water
mass of water = 0.492 x 18
= 8.856 grams
