1. Determine the moles of each element:
* Silicon (Si):
- Molar mass of Si = 28.09 g/mol
- Moles of Si = (6 g) / (28.09 g/mol) = 0.214 mol
* Chlorine (Cl):
- Molar mass of Cl = 35.45 g/mol
- Moles of Cl = (2.5 g) / (35.45 g/mol) = 0.0706 mol
2. Find the mole ratio:
* Divide the number of moles of each element by the smallest number of moles:
- Si: 0.214 mol / 0.0706 mol ≈ 3
- Cl: 0.0706 mol / 0.0706 mol ≈ 1
3. Determine the empirical formula:
* The mole ratio gives us the empirical formula: Si₃Cl
4. Calculate the empirical formula mass:
* (3 x 28.09 g/mol) + (1 x 35.45 g/mol) = 123.72 g/mol
5. Determine the molecular formula:
* Divide the given molecular mass by the empirical formula mass:
- 378 g/mol / 123.72 g/mol ≈ 3
* Multiply the subscripts in the empirical formula by this factor:
- Si₃Cl x 3 = Si₉Cl₃
Therefore, the molecular formula of the substance is Si₉Cl₃.