In this question, we have the following reaction:
2 LiOH + CO2 --> Li2CO3 + H2O
We have:
83.1 grams of LiOH
We want to know how much of Li2CO3 will be produced
In order to find out, first we need to find the number of moles of LiOH present in 83.1 grams, we will use its molar mass, 23.95g/mol to find it
23.95 grams = 1 mol
83.1 grams = x moles
23.95x = 83.1
x = 83.1/23.95
x = 3.5 moles of LiOH in 83.1 grams
Now that we have the number of moles of LiOH, we will use the molar ratio between the two compounds to find the number of moles of Li2CO3, the molar ratio is 2:1
3.5/2 = 1.75 moles of Li2CO3
Now we use the molar mass of Li2CO3, 73.89g/mol, to find the final mass:
73.89 grams = 1 mol
x grams = 1.75 moles
x = 1.75 * 73.89
x = 129.3 grams
The final mass will be 129.3 grams of Li2CO3