chapter 9 section 5 #1\nwhat is the molarity of a solution made by dissolving 18.5 g of calcium hydroxide in…

chapter 9 section 5 #1\nwhat is the molarity of a solution made by dissolving 18.5 g of calcium hydroxide in 750.0 ml of water?\n1./a. 0.25 m\n2./b. 0.548 m\n3./c. 0.187 m\n4./d. 0.333 m
Answer
Explanation:
Step1: Calculate molar mass of $Ca(OH)_2$
The molar mass of $Ca$ is $40.08\ g/mol$, $O$ is $16.00\ g/mol$ and $H$ is $1.01\ g/mol$. For $Ca(OH)_2$, $M = 40.08+(2\times(16.00 + 1.01))=74.10\ g/mol$.
Step2: Calculate moles of $Ca(OH)_2$
Use the formula $n=\frac{m}{M}$, where $m = 18.5\ g$ and $M = 74.10\ g/mol$. So $n=\frac{18.5}{74.10}\approx0.25\ mol$.
Step3: Convert volume to liters
The volume $V = 750.0\ mL=0.7500\ L$.
Step4: Calculate molarity
Use the formula $M=\frac{n}{V}$, where $n = 0.25\ mol$ and $V = 0.7500\ L$. So $M=\frac{0.25}{0.7500}\approx0.333\ M$.
Answer:
D. $0.333\ M$