Calculate The Percentage Composition of Each of The Following Srbr2
Strontium bromide (SrBr2) is an ionic compound composed of strontium cations (Sr2+) and bromide anions (Br-). Calculating its percentage composition by mass and by moles helps understand its chemical makeup and properties.
What is SrBr2?
Strontium bromide is a white crystalline solid that dissolves in water to form a colorless solution. It's used in analytical chemistry, as a source of bromide ions, and in some specialized applications in optics and electronics.
The compound has a molar mass of approximately 229.37 g/mol, calculated by summing the atomic masses of strontium and bromine:
= 87.62 g/mol + 2 × 79.90 g/mol
= 87.62 + 159.80 g/mol
= 247.42 g/mol
Note: The actual molar mass may vary slightly due to isotopic variations.
How to Calculate Percentage Composition
Percentage composition by mass is calculated using the formula:
For percentage composition by moles, we use:
Step-by-Step Calculation
- Determine the molar mass of the compound (SrBr2 = 247.42 g/mol)
- Find the atomic mass of each element:
- Strontium (Sr) = 87.62 g/mol
- Bromine (Br) = 79.90 g/mol
- Calculate the percentage of each element by mass:
- % Sr = (87.62 / 247.42) × 100 ≈ 35.42%
- % Br = (2 × 79.90 / 247.42) × 100 ≈ 64.58%
- For percentage by moles:
- SrBr2 contains 1 mole of Sr and 2 moles of Br
- Total moles = 1 + 2 = 3 moles
- % Sr by moles = (1/3) × 100 ≈ 33.33%
- % Br by moles = (2/3) × 100 ≈ 66.67%
Example Calculation
Let's calculate the percentage composition of 247.42 grams of SrBr2:
| Element | Mass (g) | Percentage by Mass | Percentage by Moles |
|---|---|---|---|
| Strontium (Sr) | 87.62 | 35.42% | 33.33% |
| Bromine (Br) | 159.80 | 64.58% | 66.67% |
This shows that strontium makes up about 35% of the mass and 33% of the moles in SrBr2, while bromine constitutes the remaining percentages.
FAQ
- What is the difference between percentage by mass and percentage by moles?
- Percentage by mass considers the actual weight of each element, while percentage by moles considers the number of atoms or molecules of each element relative to the total.
- Why is the percentage by mass of bromine higher than by moles?
- Bromine has a higher atomic mass (79.90 g/mol) compared to strontium (87.62 g/mol), so it contributes more to the mass percentage despite having fewer moles in the compound.
- How does temperature affect the percentage composition?
- Percentage composition is a fundamental property of a compound and doesn't change with temperature under normal conditions. It's based on the chemical formula and atomic masses.
- Can I use this calculator for other compounds?
- Yes, the same method applies to any compound. Just input the atomic masses and the formula to calculate the percentage composition.