Answer:
93 g of [tex]H_{2}O[/tex] are needed to produce 150 g of [tex]Mg(OH)_{2}[/tex]
Explanation:
1. Writhe the balanced equation given by the problem:
[tex]Mg_{3}N_{2}(s)+6H_{2}O(l)=3Mg(OH)_{2}(s)+2NH_{3}(g)[/tex]
2. Then use the stoichiometry of the reaction to calculate the mass of [tex]H_{2}O[/tex] that is needed to produce 150g of [tex]Mg(OH)_{2}[/tex]:
It is important to take in account the molar mass of the [tex]Mg(OH)_{2}[/tex] and the [tex]H_{2}O[/tex] for the calculations.
Molar mass of the [tex]Mg(OH)_{2}[/tex] = 58.3g
Molar mass of the [tex]H_{2}O[/tex] = 18g
[tex]150gMg(OH)_{2}*\frac{1molMg(OH)_{2}}{58.3gMg(OH)_{2}}*\frac{6molesH_{2}O}{3molesMg(OH)_{2}}*\frac{18gH_{2}O}{1molH_{2}O}=93gH_{2}O[/tex]