A pure sample of cobalt chloride weighting `1.30 g` was found to contains `0.59 g` cobalt and `0.71 g` chloride on quantitative analysis. What is the percentage composition of cobalt chloride?

Explanation

To find the percentage composition of cobalt chloride (CoCl₂) from the given data, we can follow these steps:

### Step 1: Determine the mass of cobalt and chloride
We are given:
- Total mass of cobalt chloride = 1.30 g
- Mass of cobalt = 0.59 g
- Mass of chloride = 0.71 g

### Step 2: Calculate the percentage of cobalt
To find the percentage of cobalt in the cobalt chloride sample, we use the formula:

\[ \text{Percentage of Cobalt} = \left( \frac{\text{Mass of Cobalt}}{\text{Total Mass of Cobalt Chloride}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage of Cobalt} = \left( \frac{0.59 \, \text{g}}{1.30 \, \text{g}} \right) \times 100 \]

Calculating this gives:

\[ \text{Percentage of Cobalt} = \left( 0.454 \right) \times 100 \approx 45.4\% \]

### Step 3: Calculate the percentage of chloride
Similarly, we can calculate the percentage of chloride using the formula:

\[ \text{Percentage of Chloride} = \left( \frac{\text{Mass of Chloride}}{\text{Total Mass of Cobalt Chloride}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage of Chloride} = \left( \frac{0.71 \, \text{g}}{1.30 \, \text{g}} \right) \times 100 \]

Calculating this gives:

\[ \text{Percentage of Chloride} = \left( 0.546 \right) \times 100 \approx 54.6\% \]

### Step 4: Summarize the results
Now we can summarize the percentage composition of cobalt chloride:

- Percentage of Cobalt = 45.4%
- Percentage of Chloride = 54.6%

### Final Answer
The percentage composition of cobalt chloride is:
- Cobalt: 45.4%
- Chloride: 54.6%

---