2. If 2.50g of sodium hydroxide is being reacted with 4.30g of magnesium chloride, how many grams of magnesium hydroxide would be produced?


how should i go about solving this equation

Respuesta :

Answer:

1.822 g of magnesium hydroxide would be produced.

Explanation:

Balanced reaction: [tex]2NaOH+MgCl_{2}\rightarrow Mg(OH)_{2}+2NaCl[/tex]

     Compound                                 Molar mass (g/mol)

         NaOH                                           39.997

         [tex]MgCl_{2}[/tex]                                           95.211

        [tex]Mg(OH)_{2}[/tex]                                        58.3197

So, 2.50 g of NaOH = [tex]\frac{2.50}{39.997}[/tex] mol of NaOH = 0.0625 mol of NaOH

      4.30 g of [tex]MgCl_{2}[/tex]  = [tex]\frac{4.30}{95.211}[/tex] mol of [tex]MgCl_{2}[/tex] = 0.0452 mol of [tex]MgCl_{2}[/tex]

According to balanced equation-

2 mol of NaOH produce 1 mol of [tex]Mg(OH)_{2}[/tex]    

So, 0.0625 mol of NaOH produce [tex](\frac{0.0625}{2})[/tex] mol of NaOH or 0.03125 mol of NaOH

1 mol of [tex]MgCl_{2}[/tex] produces 1 mol of [tex]Mg(OH)_{2}[/tex]

So, 0.0452 mol of [tex]MgCl_{2}[/tex] produce 0.0452 mol of [tex]Mg(OH)_{2}[/tex]

As least number of moles of [tex]Mg(OH)_{2}[/tex] are produced from NaOH therefore NaOH is the limiting reagent.

So, amount of [tex]Mg(OH)_{2}[/tex] would be produced = 0.03125 mol

                                                                           = [tex](0.03125\times 58.3197)[/tex] g

                                                                           = 1.822 g