Respuesta :
3.0g mass of carbon dioxide is consumed by the reaction of water.
What are moles?
A mole is defined as 6.02214076 × [tex]10^{23}[/tex] of some chemical unit, be it atoms, molecules, ions, or others. The mole is a convenient unit to use because of the great number of atoms, molecules, or others in any substance.
The reaction equation is given as:
6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂
Parameters that are known:
Mass of CO₂ used = 7.3g
Unknown: mass of water consumed =?
Solution:
To solve this kind of problem, we simply apply some mole concept relationships.
First, we work from the known to the unknown. From the problem, we have 7.3g of CO₂ that was used. We can find the number of moles from this value using the expression below:
Number of moles of CO₂ = [tex]\frac{mass}{molar \;mass}[/tex]
From this number of moles of CO₂, we can use the balanced equation to relate the number of moles of CO₂ to that of H₂O:
6 moles of CO₂ reacted with 6 moles of H₂O(1:1)
We can then use the mole relationship with mass to find the unknown.
Workings
A number of moles of CO₂ =?
The molar mass of CO₂ :
The atomic mass of C = 12g
The atomic mass of O = 16g
Molar mass of CO₂ = 12 + (2 x16) = 44gmol⁻¹
Number of moles of CO₂ = = 0.166moles
If 6 moles of CO₂ reacted with 6 moles of H₂O, then 0.166moles of CO₂ would produce 0.166moles of H₂O
Mass of water consumed = number of mole of H₂O x molar mass
Mass of H₂0 = 0.166 x ?
The molar mass of H₂O:
The atomic mass of H = 1g
The atomic mass of O = 16
Molar mass of H₂O = (2x1) + 16 = 18gmol⁻¹
Mass of H₂O = 0.166 x 18 = 3.0g
Hence, 3.0g mass of carbon dioxide is consumed by the reaction of water.
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