Hello, Nya,
CO2+2KOH = K2CO3+H2O
The equation is balanced, so we know that 2 moles of KOH will produce 1 moles of K2CO3, assuming 100% yield. Let's determine the number of moles in 28.9 grams of KOH by dividing by it's molar mass.
28.9 grams/(56.1 g/mole) = 0.51334 moles KOH. We'll only get half that many moles of K2CO3 , according to the equation. So we'll obtain 0.2567 moles of K2CO3 . Multiply by the molar mass of potassium carbonate to obtain grams:
(0.2567 moles)*(138.2 g/mole) = 35.48 grams K2CO3 That would be 35.5 grams K2CO3 with 3 sig figs
Bob