Answer : The theoretical yield of water in this reaction is 360 g.
Solution : Given,
Mass of ![LiOH=1\times 10^3g=1000g](https://tex.z-dn.net/?f=LiOH%3D1%5Ctimes%2010%5E3g%3D1000g)
Mass of ![CO_2=8.80\times 10^2g=880g](https://tex.z-dn.net/?f=CO_2%3D8.80%5Ctimes%2010%5E2g%3D880g)
Mass of ![H_2O=3.25\times 10^2g=325g](https://tex.z-dn.net/?f=H_2O%3D3.25%5Ctimes%2010%5E2g%3D325g)
Molar mass of
= 44 g/mole
Molar mass of
= 24 g/mole
Molar mass of
= 18 g/mole
First we have to calculate the moles of
and
.
Moles of
= ![\frac{\text{ Mass of }CO_2}{\text{ Molar mass of }CO_2}= \frac{880g}{44g/mole}=20moles](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B%20Mass%20of%20%7DCO_2%7D%7B%5Ctext%7B%20Molar%20mass%20of%20%7DCO_2%7D%3D%20%5Cfrac%7B880g%7D%7B44g%2Fmole%7D%3D20moles)
Moles of
= ![\frac{\text{ Mass of }LiOH}{\text{ Molar mass of }LiOH}= \frac{1000g}{24g/mole}=42moles](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B%20Mass%20of%20%7DLiOH%7D%7B%5Ctext%7B%20Molar%20mass%20of%20%7DLiOH%7D%3D%20%5Cfrac%7B1000g%7D%7B24g%2Fmole%7D%3D42moles)
The given balanced chemical reaction is,
![CO_2+2LiOH\rightarrow Li_2CO_3+H_2O](https://tex.z-dn.net/?f=CO_2%2B2LiOH%5Crightarrow%20Li_2CO_3%2BH_2O)
From the given reaction, we conclude that
1 mole of
react with 2 mole of ![LiOH](https://tex.z-dn.net/?f=LiOH)
20 moles of
requires
of ![LiOH](https://tex.z-dn.net/?f=LiOH)
But the actual moles of
= 42 moles
Excess moles of
= 42 - 40 = 2 moles
So,
is the limiting reagent.
Now we have to calculate the mass of
.
From the reaction, we conclude that
1 mole of
gives 1 mole of ![H_2O](https://tex.z-dn.net/?f=H_2O)
20 moles of
gives 20 moles of ![H_2O](https://tex.z-dn.net/?f=H_2O)
Mass of
= Moles of
× Molar mass of ![H_2O](https://tex.z-dn.net/?f=H_2O)
Mass of
= 20 moles × 18 g/mole = 360 g
The experimental yield of
= 325 g
Therefore, the theoretical yield of
= 360 g