To determine the percent composition of a compound containing 29.2 g of argon and 4.30 g of another element, we must follow these steps:
### Step 1: Calculate the Total Mass of the Compound
First, we need to find the total mass of the compound by adding the masses of both elements:
[tex]\[ \text{Total Mass} = \text{Mass of Argon} + \text{Mass of Unknown Element} \][/tex]
Here, the mass of argon is 29.2 g, and the mass of the unknown element is 4.30 g.
[tex]\[ \text{Total Mass} = 29.2 \, \text{g} + 4.30 \, \text{g} = 33.50 \, \text{g} \][/tex]
### Step 2: Calculate the Percent Composition of Each Element
The percent composition of each element in the compound can be found by dividing the mass of each element by the total mass of the compound and then multiplying by 100 to get a percentage.
#### Percent Composition of Argon
[tex]\[ \text{Percent Composition of Argon} = \left( \frac{\text{Mass of Argon}}{\text{Total Mass}} \right) \times 100 \][/tex]
Substitute the values:
[tex]\[ \text{Percent Composition of Argon} = \left( \frac{29.2 \, \text{g}}{33.50 \, \text{g}} \right) \times 100 \][/tex]
[tex]\[ \text{Percent Composition of Argon} \approx \left( 0.8716 \right) \times 100 \][/tex]
[tex]\[ \text{Percent Composition of Argon} \approx 87.16\% \][/tex]
#### Percent Composition of the Unknown Element
[tex]\[ \text{Percent Composition of Unknown Element} = \left( \frac{\text{Mass of Unknown Element}}{\text{Total Mass}} \right) \times 100 \][/tex]
Substitute the values:
[tex]\[ \text{Percent Composition of Unknown Element} = \left( \frac{4.30 \, \text{g}}{33.50 \, \text{g}} \right) \times 100 \][/tex]
[tex]\[ \text{Percent Composition of Unknown Element} \approx \left( 0.1284 \right) \times 100 \][/tex]
[tex]\[ \text{Percent Composition of Unknown Element} \approx 12.84\% \][/tex]
### Conclusion
The percent composition of the compound is:
- Argon: Approximately 87.16%
- Unknown Element: Approximately 12.84%
