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CO2 + 2LiOH = Li2CO3 + H2O
To ensure that the air in the shuttle remains free of excess CO2, engineers test the air-purification system.
They combine 1.000 × 10^3 g LiOH with 8.80 × 10^2 g CO2. The reaction produces 3.25 × 10^2 g H2O.
What is the theoretical yield of this test reaction? Record answer to the nearest whole number.
_g H2O

Respuesta :

Answer : The theoretical yield of water in this reaction is 360 g.

Solution : Given,

Mass of [tex]LiOH=1\times 10^3g=1000g[/tex]

Mass of [tex]CO_2=8.80\times 10^2g=880g[/tex]

Mass of [tex]H_2O=3.25\times 10^2g=325g[/tex]

Molar mass of [tex]CO_2[/tex] = 44 g/mole

Molar mass of [tex]LiOH[/tex] = 24 g/mole

Molar mass of [tex]H_2O[/tex] = 18 g/mole

First we have to calculate the moles of [tex]CO_2[/tex] and [tex]LiOH[/tex].

Moles of [tex]CO_2[/tex] = [tex]\frac{\text{ Mass of }CO_2}{\text{ Molar mass of }CO_2}= \frac{880g}{44g/mole}=20moles[/tex]

Moles of [tex]LiOH[/tex] = [tex]\frac{\text{ Mass of }LiOH}{\text{ Molar mass of }LiOH}= \frac{1000g}{24g/mole}=42moles[/tex]

The given balanced chemical reaction is,

[tex]CO_2+2LiOH\rightarrow Li_2CO_3+H_2O[/tex]

From the given reaction, we conclude that

1 mole of [tex]CO_2[/tex] react with 2 mole of [tex]LiOH[/tex]

20 moles of [tex]CO_2[/tex] requires [tex]20\times2=40moles[/tex] of [tex]LiOH[/tex]

But the actual moles of [tex]LiOH[/tex] = 42 moles

Excess moles of [tex]LiOH[/tex] = 42 - 40 = 2 moles

So, [tex]CO_2[/tex] is the limiting reagent.

Now we have to calculate the mass of [tex]H_2O[/tex].

From the reaction, we conclude that

1 mole of [tex]CO_2[/tex] gives 1 mole of [tex]H_2O[/tex]

20 moles of [tex]CO_2[/tex] gives 20 moles of [tex]H_2O[/tex]

Mass of [tex]H_2O[/tex] = Moles of [tex]H_2O[/tex] × Molar mass of  [tex]H_2O[/tex]

Mass of [tex]H_2O[/tex] = 20 moles × 18 g/mole = 360 g

The experimental yield of [tex]H_2O[/tex] = 325 g

Therefore, the theoretical yield of [tex]H_2O[/tex] = 360 g

Answer:

Part 1: limiting reactant is CO2

Part 2: theoretical yield is 360

Part 3: percent yield is 90.3

Explanation:

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