Final answer:
To calculate the mass of magnesium chloride produced, we need to first determine the mole ratio between hydrochloric acid (HCl) and magnesium chloride (MgCl2) in the balanced chemical equation. From the equation, we can see that 2 moles of HCl react with 1 mole of MgCl2. To solve for the mass of MgCl2, we can use the steps mentioned in the detailed answer.
Step-by-step explanation:
To calculate the mass of magnesium chloride produced, we need to first determine the mole ratio between hydrochloric acid (HCl) and magnesium chloride (MgCl2) in the balanced chemical equation:
Mg(OH)2 + 2HCl → MgCl2 + 2H2O
From the equation, we can see that 2 moles of HCl react with 1 mole of MgCl2.
To solve for the mass of MgCl2, we can use the following steps:
Calculate the number of moles of HCl using its molar mass
Use the mole ratio from the balanced equation to calculate the number of moles of MgCl2 that can be produced.
Convert the moles of MgCl2 to grams using its molar mass.
Let's calculate:
1. Calculate the number of moles of HCl:
Given mass of HCl = 146g
Molar mass of HCl = 36.46 g/mol
Using the formula:
moles = mass / molar mass
We can calculate:
moles of HCl = 146g / 36.46 g/mol = 4 moles of HCl
2. Use the mole ratio to calculate the number of moles of MgCl2:
From the balanced equation, the mole ratio of HCl to MgCl2 is 2:1. So, for every 2 moles of HCl, 1 mole of MgCl2 is produced.
Hence, 4 moles of HCl will produce: (4 moles HCl) / (2 moles HCl/MgCl2) = 2 moles of MgCl2.
3. Convert the moles of MgCl2 to grams:
Molar mass of MgCl2 = 95.21 g/mol
Using the formula:
mass = moles x molar mass
mass of MgCl2 = 2 moles x 95.21 g/mol = 190.42 g