What is the molarity of sodium chloride in solution that is 13.0% by mass sodium chloride and that has a density of 1.10 g/mL? A) 2.23 B) 143 C) 2.45 D) 2.56 E) 1.43 × 10^-²

Question

Quizplus · Accepted Answer

First, we need to calculate the mass of the solution. Let's assume we have 100 g of the solution:
- 13.0 g of that is sodium chloride
- The rest (100 g - 13.0 g = 87.0 g) is water

Now, we can use the density of the solution to find the volume of the solution:
- density = mass/volume
- volume = mass/density
- volume = 100 g / 1.10 g/mL = 90.9 mL

Next, we can use the molarity equation to find the molarity of the sodium chloride:
- molarity = moles of solute / volume of solution (in L)
- To find the moles of solute, we need to convert the mass of sodium chloride to moles:
   - moles = mass / molar mass
   - molar mass of NaCl = 58.44 g/mol
   - moles of NaCl = 13.0 g / 58.44 g/mol = 0.222 mol
- Now we can plug in the values:
   - molarity = 0.222 mol / 0.0909 L = 2.45 M

Therefore, the answer is choice C.

What Is the Molarity of Sodium Chloride in Solution That