Answer:
Yes ,The base neutralize all of the acid because it(base) is present in excess quantity .
Mg(OH)2 is in excess by 0.205 mole
Step-by-step explanation:
The balanced equation is :
![Mg(OH)_(2) + 2 HCl \rightarrow MgCl_(2) + 2H_(2)O](https://img.qammunity.org/2021/formulas/chemistry/middle-school/622ukpj0zxwcbia68scld366i7ce3qu7y8.png)
Calculate the moles of Hydrochloric Acid and Magnesium hydroxide
For HCl
![Moles = (given\ mass)/(molar\ mass)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/gp9t0su6hw9m2wckbfc8sj62b5dhenjdrx.png)
Given mass = 20.0 g
Molar mass of HCl = 36.5 g/mol
![Moles = (20)/(36.5)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/k6yvrivlyzhmnsu0wqm3p2i01n14c1z6aj.png)
mole of HCl = 0.55
For Mg(OH)2
Given mass = 28.0 g
Molar mass of Mg(OH)2 = 58.3 g/mol
![Moles = (28)/(58.3)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/hgjgzasa43or45a744x8p1jfeemovdon9u.png)
mole of Mg(OH)2 = 0.48
According to the balanced equation ,
![Mg(OH)_(2) + 2 HCl \rightarrow MgCl_(2) + 2H_(2)O](https://img.qammunity.org/2021/formulas/chemistry/middle-school/622ukpj0zxwcbia68scld366i7ce3qu7y8.png)
1 mole of Mg(OH)2 would require = 2 mole of HCl for neutralisation
So,
0.48 mole of Mg(OH)2 would require = 2(0.48) = 0.96 mol
HCl needed for complete neutralisation = 0.96 mole
Available HCl = 0.55 mole
HCl is less by = 0.96 -0.55 = 0.41 mole
So,
Mg(OH)2 is in excess by = 0.41/2 mole [because 1 HCl = 2 Mg(OH)2]
= 0.205
Here HCl is less than need and Mg(OH)2 is in excess.