Final answer:
To calculate the mass of potassium hydroxide produced, we need to convert the given mass of potassium to moles and then use the mole ratio to determine the moles of potassium hydroxide. Finally, we can convert the moles of potassium hydroxide to mass using its molar mass. We get, the mass of potassium hydroxide produced is 26.82 g.
Step-by-step explanation:
First, we need to balance the chemical equation:
K + H₂O → KOH + H₂
From the balanced equation, we can see that 1 mole of K reacts with 1 mole of H₂O to produce 1 mole of KOH and 1 mole of H₂.
To find the mass of KOH produced, we need to convert the given mass of K to moles using its molar mass, then use the mole ratio between K and KOH to find the moles of KOH produced, and finally convert the moles of KOH to mass using its molar mass.
Step 1: Calculate the moles of K:
Molar mass of K = 39.10 g/mol
moles of K = mass/molar mass = 18.66 g / 39.10 g/mol = 0.477 mol
Step 2: Use the mole ratio between K and KOH to find the moles of KOH:
K:KOH = 1:1
moles of KOH = moles of K = 0.477 mol
Step 3: Calculate the mass of KOH:
Molar mass of KOH = 56.11 g/mol
mass of KOH = moles of KOH * molar mass = 0.477 mol * 56.11 g/mol = 26.82 g
Therefore, the mass of potassium hydroxide produced is 26.82 g.