Respuesta :
Answer:
Mass of H₂O is 3.0g
Explanation:
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
>>>> Number of moles of CO₂ =?
Molar mass of CO₂ :
Atomic mass of C = 12g
Atomic mass of O = 16g
Molar mass of CO₂ = 12 + (2 x16) = 44gmol⁻¹
Number of moles of CO₂ = [tex]\frac{7.3}{44}[/tex] = 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 ?
Molar mass of H₂O:
Atomic mass of H = 1g
Atomic mass of O = 16
Molar mass of H₂O = (2x1) + 16 = 18gmol⁻¹
Mass of H₂O = 0.166 x 18 = 3.0g
Answer:
The mass of water when it is reacted with [tex]7.3[/tex]g of carbon dioxide is [tex]3[/tex]g.
Explanation:
Given:
Green plants use light from the sun to drive photosynthesis.
sugar glucose:
[tex](C_6H_1_2O_6)[/tex]
oxygen gas:
[tex](O_2)[/tex]
Step 1:
To find the mass of water is consumed by the reaction of [tex]7.3[/tex] g of carbon dioxide
Let,
Mass of water consumed = number of mole of [tex]H_{2} O[/tex] x molar mass
First we have to find molar mass,so
Number of moles of [tex]CO_{2}[/tex][tex]=\frac{mass}{molarmass}[/tex]
- Molar mass of [tex]CO_{2}[/tex]
Atomic mass = g
Molar mass
= [tex]12 + (2 x16)[/tex]
[tex]=44gmol^{-1}[/tex]
Therefore,Number of moles of
[tex]$\mathrm{CO}_{2}=\frac{7.3}{44}[/tex]
[tex]=0.166 \mathrm}$[/tex]moles
Step 2:
Now we have to find,
Molar mass of [tex]$\mathrm{H}_{2} \mathrm{O}$[/tex]
Atomic mass of [tex]{H\mathrm $}=1 \mathrm{~g}$[/tex]
Atomic mass of [tex]$O=16$[/tex]
Molar mass of
[tex]$\mathrm{H}_{2} \mathrm{O}=(2 \times 1)+16[/tex]
[tex]=18 \mathrm{gmol}^{-1}$[/tex]
Step 3:
Substitute in the formula,
Mass of [tex]H_{2}O[/tex] = [tex]0.166[/tex]x [tex]18[/tex] = [tex]3.0[/tex]g
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