if 2.0 moles of magnesium hydroxide are present, how many moles of phosphoric acid, would be required for…

if 2.0 moles of magnesium hydroxide are present, how many moles of phosphoric acid, would be required for the reaction? 3mg(oh)₂ + 2h₃po₄ → mg₃(po₄)₂ + 6h₂o\na 1.33 mol\nb 0.33 mol\nc 3.0 mol\nd none of the above
Answer
Answer:
A. 1.33 mol
Explanation:
Step1: Identify mole - ratio
From the balanced equation $3Mg(OH)_2 + 2H_3PO_4\rightarrow Mg_3(PO_4)_2+6H_2O$, the mole - ratio of $Mg(OH)_2$ to $H_3PO_4$ is $3:2$.
Step2: Set up proportion
Let $x$ be the moles of $H_3PO_4$. We have the proportion $\frac{3}{2}=\frac{2.0}{x}$.
Step3: Solve for $x$
Cross - multiply: $3x = 2\times2.0$. Then $x=\frac{2\times2.0}{3}=\frac{4.0}{3}\approx1.33$ mol.