Answer :
Final answer:
The maximum amount of potassium carbonate that can be formed is 59.84 grams.
Explanation:
To find the maximum amount of potassium carbonate that can be formed, we need to determine the limiting reactant in the reaction between carbon dioxide (CO2) and potassium hydroxide (KOH). To do this, we can calculate the moles of each reactant:
Moles of CO2 = mass / molar mass = 19.1 g / 44.01 g/mol = 0.434 mol
Moles of KOH = mass / molar mass = 38.6 g / 56.11 g/mol = 0.688 mol
From the balanced equation:
CO2 + 2 KOH → K2CO3 + H2O
We can see that the stoichiometric ratio between CO2 and KOH is 1:2. Thus, for every 1 mol of CO2, we need 2 mol of KOH. Since we have more moles of KOH than CO2, KOH is in excess and CO2 is the limiting reactant.
Using the stoichiometry, we can calculate the maximum amount of potassium carbonate that can be formed:
Moles of K2CO3 = 0.434 mol CO2 × (1 mol K2CO3 / 1 mol CO2) = 0.434 mol
Mass of K2CO3 = moles × molar mass = 0.434 mol × (138.21 g/mol) = 59.84 g
Therefore, the maximum amount of potassium carbonate that can be formed is 59.84 grams.
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