5: An 8.0% NaCl solution has a density of 1.05 g/mol. What is the molar concentration (M) of the solution? M NaCl

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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Question:**

An 8.0% NaCl solution has a density of 1.05 g/mL. What is the molar concentration (M) of the solution?

**Solution:**

1. **Calculate the mass of NaCl in 1 liter of solution:**
   - Since the density is 1.05 g/mL, 1 liter (1000 mL) of solution weighs 1050 g.
   - 8.0% NaCl by mass means there are 8.0 g of NaCl per 100 g of solution.
   - Therefore, in 1050 g of solution, the mass of NaCl = (8.0 g/100 g) × 1050 g = 84 g of NaCl.

2. **Calculate the moles of NaCl:**
   - Molar mass of NaCl: 58.44 g/mol.
   - Moles of NaCl = mass/molar mass = 84 g / 58.44 g/mol = 1.438 mol.

3. **Calculate the molarity (M):**
   - Molarity (M) = moles of solute/liters of solution.
   - Molarity of the solution = 1.438 mol / 1 L = 1.438 M.

Thus, the molar concentration of the solution is approximately 1.44 M NaCl.
Transcribed Image Text:**Question:** An 8.0% NaCl solution has a density of 1.05 g/mL. What is the molar concentration (M) of the solution? **Solution:** 1. **Calculate the mass of NaCl in 1 liter of solution:** - Since the density is 1.05 g/mL, 1 liter (1000 mL) of solution weighs 1050 g. - 8.0% NaCl by mass means there are 8.0 g of NaCl per 100 g of solution. - Therefore, in 1050 g of solution, the mass of NaCl = (8.0 g/100 g) × 1050 g = 84 g of NaCl. 2. **Calculate the moles of NaCl:** - Molar mass of NaCl: 58.44 g/mol. - Moles of NaCl = mass/molar mass = 84 g / 58.44 g/mol = 1.438 mol. 3. **Calculate the molarity (M):** - Molarity (M) = moles of solute/liters of solution. - Molarity of the solution = 1.438 mol / 1 L = 1.438 M. Thus, the molar concentration of the solution is approximately 1.44 M NaCl.
Expert Solution
Step 1

Density, mass and volume are related as

Density(d) = mass/volume.

Volume = mass/density.

Given,

8% NaCl means that the solution contains 8 g of NaCl in 92 g of water.

i.e. weight of NaCl = 8 g.

weight of water = 92 g.

The total mass of the solution = 100 g.

Density of the solution = 1.05 g/mL.

 

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