Question

Given that the molar mass of NaCl is 58. 44 g/mol, what is the molarity of a solution that contains 87. 75 g of NaCl in 500. ML of solution? Use Molarity equals StartFraction moles of solute over liters of solution EndFraction. 0. 333 M 0. 751 M 1. 50 M 3. 00 M.

Answer 1

D

Step-by-step explanation:

Given that the molar mass of NaCl is 58.44 g/mol, we want to determine the molarity of a solution that contains 87.75 g of NaCl in 500. mL of solution.

Recall that molarity is given by:

`\displaystyle \text{M} = \frac{\text{ mols solute}}{\text{ liters soln.}}`

Therefore, we can convert the amount of NaCl in the solution to moles of NaCl and the volume from milliliters to liters:

`\displaystyle \begin{aligned} \text{M} & = \frac{(87.75 \text{ g NaCl})}{(500. \text{ mL soln.})} \cdot \frac{1 \text{ mol NaCl}}{58.44 \text{ g NaCl}} \cdot \frac{1000 \text{ mL soln.}}{1 \text{ L soln.}} \\ \\ & = 3.00\text{ } \frac{\text{mol NaCl}}{\text{ L soln.}} \\ \\ & = 3.00 \text{ M} \end{aligned}`

Hence, our answer is D.