Rosalyn G. answered 03/29/20
Patient and Knowledgeable Chemistry, Science, and Math Tutor
Carbon dioxide + potassium hydroxide reacts to form potassium + water
The unbalanced equation is:
CO2 + KOH = K2CO3 + H2O
This equation can be balance by giving KOH a coefficient of 2.
CO2 + 2KOH = K2CO3 + H2O
To determine the maximum amount of K2CO3 formed, you must first determine the number of moles of each reagent you have and then use the coefficients from the balanced equation to determine which is present in excess. The amount of limiting reagent will determine the amount of K2CO3 product produced.
Moles = mass in grams divided by molar mas
Moles of CO2 present = (17.1 g of CO2) divided by (44.01 g/ moles of CO2) = 0.389 moles of CO2
Moles of KOH present = (47.4 g of CO2) divided by (56.11 g/mole of KOH) = 0.845 moles of KOH
KOH reacts with CO2 in a 2:1 ratio,
Moles of KOH needed to react with 0.389 moles of CO2 = 0.389 moles of CO2 x ( 2 moles of KOH divided by 1 mole of CO2)= 0.389 moles x (2) = 0.778 moles of KOH
You have more than enough KOH for the amount of CO2, so the amount of CO2 will determine the amount of K2CO3 produced.
Since the balance reaction shows a 1:1 ratio of CO2 : K2CO3, the 0.389 moles of CO2 present will produce 0.389 moles of K2CO3.
0.389 moles of K2CO3 x molar mass of K2CO3 gives the # grams of K2CO3 that can be produced.
0.389 moles x 138.03 g/mole = 53.7 g of K2CO3 that can be formed.
As explained above in bold, CO2 (carbon dioxide) is the limiting reagent.
KOH is the excess reagent: (Starting Moles of excess reagent - moles of excess reagent needed for the reaction ) x molar mass of the excess reagent gives the amount of excess reagent in grams that is present when the reaction is complete.
(0.845 moles of KOH - 0.778 moles KOH) x 56.11 g/mole of KOH = 0.067 moles x 56.11 g/mole = 3.76 g KOH left after completion of the reaction.