Concentration of hydroxide ion = 5.82 M
Explanation
Volume of one teaspoon = 5 mL
Volume of 4-teaspoon = 4 * (5 mL) = 20 mL
total dose of aluminum hydroxide = 4 * (400 mg) = 1600 mg = 1.600 g
total dose of magnesium hydroxide = 4 * (400 mg) = 1600 mg = 1.600 g
moles aluminum hydroxide = (mass aluminum hydroxide) / (molar mass Al(OH)3)
moles aluminum hydroxide = (1.600 g) / (78.0 g/mol)
moles aluminum hydroxide = 0.0205 mol
moles hydroxide = 3 * (moles aluminum hydroxide)
moles hydroxide = 3 * (0.0205 mol)
moles hydroxide = 0.0615 mol
moles magnesium hydroxide = (mass magnesium hydroxide) / (molar mass Mg(OH)2)
moles magnesium hydroxide = (1.600 g) / (58.32 g/mol)
moles magnesium hydroxide = 0.0274 mol
moles hydroxide = 2 * (moles magnesium hydroxide)
moles hydroxide = 2 * (0.0274 mol)
moles hydroxide = 0.0549 mol
Total moles hydroxide = 0.0615 mol + 0.0549 mol
Total moles hydroxide = 0.116 mol
molarity hydroxide = (Total moles hydroxide) / (volume in Liters)
molarity hydroxide = (0.116 mol) / (20 x 10-3 L)
molarity hydroxide = 5.82 M
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