Respuesta :

The chemical reaction would be as follows:
2LiOH + CO2 = Li2CO3 + H2O

We are given the amount of the CO2 to be used in the reaction. We use this to calculate the amount of LiOH. We do as follows:

25.5 g CO2 ( 1 mol / 44.01 g ) ( 2 mol LiOH/1 mol CO2)  = 1.16 mol LiOH needed

Answer : The moles of [tex]LiOH[/tex] needed are, 1.158 moles

Explanation : Given,

Mass of [tex]CO_2[/tex] = 25.5 g

Molar mass of [tex]CO_2[/tex] = 44.01 g/mole

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

[tex]\text{Moles of }CO_2=\frac{\text{Mass of }CO_2}{\text{Molar mass of }CO_2}=\frac{25.5g}{44.01g/mole}=0.579moles[/tex]

Now we have to calculate the moles of [tex]LiOH[/tex]

The balanced chemical reaction will be,

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

From the balanced chemical reaction we conclude that,

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

So, 0.579 mole of [tex]CO_2[/tex] react with [tex]2\times 0.579=1.158[/tex] moles of [tex]LiOH[/tex]

Therefore, the moles of [tex]LiOH[/tex] needed are, 1.158 moles

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