A 1.00 L sample of water contains 0.0044 g of Cl⁻ ions. Determine the concentration of chloride ions in ppm if the density of the solution is 1.00 g/mL.


To determine the concentration of chloride ions (Cl⁻) in parts per million (ppm), we can use the following steps:

### Step 1: Convert the mass of Cl⁻ ions to grams per liter.
The problem states that the 1.00 L sample contains 0.0044 g of Cl⁻ ions. Since the sample is 1.00 L, the mass per liter is already 0.0044 g/L.

### Step 2: Convert grams per liter to ppm.
Since the density of the solution is 1.00 g/mL, the solution has a mass of 1.00 g/mL × 1000 mL/L = 1000 g/L.

PPM is calculated using the formula:

\[
\text{PPM} = \left(\frac{\text{mass of solute (g)}}{\text{mass of solution (g)}}\right) \times 10^6
\]

Given:
- Mass of solute (Cl⁻) = 0.0044 g
- Mass of solution = 1000 g

\[
\text{PPM} = \left(\frac{0.0044}{1000}\right) \times 10^6
\]

\[
\text{PPM} = 4.4 \, \text{ppm}
\]

### Final Answer:
The concentration of chloride ions in the solution is **4.4 ppm**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How would the concentration in ppm change if the volume of the solution were halved?
2. What would be the concentration of chloride ions in mol/L?
3. How would you calculate the ppm concentration if the density of the solution were different?
4. Can ppm be used to express concentrations of other ions in a similar way?
5. What are some practical applications of measuring chloride ion concentration in water?

**Tip:** Remember that ppm is essentially the same as mg/L for dilute aqueous solutions, making it easy to convert between these units.

Learn how to calculate the concentration of chloride ions in parts per million (ppm) in a water solution. This problem involves using the ppm formula and understanding solution density. Suitable for college-level chemistry students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation