Hello, Mkc,
Looking at question 1, the first thing is to balance the equation.
_____1 Mg(OH)2 + ____2 HCl 🡪 ____1 MgCl2 + ____2 H2O
Now we know that 1 mole of Mg(OH)2 will neutralize 1 mole of HCl. So it is a 1 to 1 ratio. Now let's find the number of moles in 0.675g of Mg(OH)2. Determine the molar mass of Mg(OH)2 , which I calculate to be 58.3g/mole. (24.3 + 2x16 + 2x1). We can the number of moles by:
0.675g/(58.3g/mole) = 0.0116 moles Mg(OH)2.
We know from the balanced equation that 0.0116 moles of Mg(OH)2 will neutralize/react with 0.0116 moles of HCl (a 1 to 1 ratio).
To determine the number of grams in 0.0116 mole HCl, multiply by the molar mass of HCl (1 + 35.5 = 36.5g HCl/mole HCl).
(0.0116 mole HCl)*(36.5 g/mole HCl) = 0.423 g HCl, to 3 sig figs.
The other questions can be answered in a similar manner. Question 2 requires you calculate a result based on the complete decomposition of Al2(CO3)3 and then use the actual yield of 39.7 g to calculate a percentage yield, based on the theoretical amount, expressed as a percentage. Question 3 requires that you determine which reagent is limiting after balancing the equation. The calculations are based on that reagent.
I hope this helps you get started,
Bob