(5.2: Similar to For Practice 5.2) How many grams of NaCl are in 150.0 mL of a 0.450 M NaCl solution? O 3.94 g O 19.5 g O 1.75 g O 8.66 g

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Title: Determining the Mass of NaCl in a Solution

**Question:**
How many grams of NaCl are in 150.0 mL of a 0.450 M NaCl solution?

**Options:**
- ( ) 3.94 g 
- ( ) 19.5 g 
- ( ) 1.75 g 
- ( ) 8.66 g 

**Explanation:**
To determine the mass of NaCl in the given solution, follow these steps:

1. **Convert the volume of the solution to liters:**
   150.0 mL × (1 L / 1000 mL) = 0.150 L

2. **Use the molarity (M) equation to find moles of NaCl:**
   Molarity (M) = moles of solute / liters of solution.
   Therefore:
   moles of NaCl = Molarity × liters of solution
                  = 0.450 M × 0.150 L
                  = 0.0675 moles of NaCl

3. **Convert moles of NaCl to grams:**
   The molar mass of NaCl (Sodium Chloride) can be calculated using the atomic masses of Sodium (Na) and Chlorine (Cl):
   - Sodium (Na) ≈ 22.99 g/mol
   - Chlorine (Cl) ≈ 35.45 g/mol
   - Therefore, the molar mass of NaCl = 22.99 g/mol + 35.45 g/mol ≈ 58.44 g/mol

   Now, convert moles to grams:
   grams of NaCl = moles of NaCl × molar mass of NaCl
                 = 0.0675 moles × 58.44 g/mol
                 ≈ 3.94 g

So, the correct option is:
- (X) 3.94 g
Transcribed Image Text:Title: Determining the Mass of NaCl in a Solution **Question:** How many grams of NaCl are in 150.0 mL of a 0.450 M NaCl solution? **Options:** - ( ) 3.94 g - ( ) 19.5 g - ( ) 1.75 g - ( ) 8.66 g **Explanation:** To determine the mass of NaCl in the given solution, follow these steps: 1. **Convert the volume of the solution to liters:** 150.0 mL × (1 L / 1000 mL) = 0.150 L 2. **Use the molarity (M) equation to find moles of NaCl:** Molarity (M) = moles of solute / liters of solution. Therefore: moles of NaCl = Molarity × liters of solution = 0.450 M × 0.150 L = 0.0675 moles of NaCl 3. **Convert moles of NaCl to grams:** The molar mass of NaCl (Sodium Chloride) can be calculated using the atomic masses of Sodium (Na) and Chlorine (Cl): - Sodium (Na) ≈ 22.99 g/mol - Chlorine (Cl) ≈ 35.45 g/mol - Therefore, the molar mass of NaCl = 22.99 g/mol + 35.45 g/mol ≈ 58.44 g/mol Now, convert moles to grams: grams of NaCl = moles of NaCl × molar mass of NaCl = 0.0675 moles × 58.44 g/mol ≈ 3.94 g So, the correct option is: - (X) 3.94 g
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