1. Calculate the moles of the compound:
* Use the ideal gas law: PV = nRT
* P = Pressure = 750 torr = 750/760 atm
* V = Volume = 256 mL = 0.256 L
* n = Number of moles (what we want to find)
* R = Ideal gas constant = 0.0821 L·atm/mol·K
* T = Temperature = 373 K
* Rearrange the equation to solve for n:
n = (PV)/(RT)
n = (750/760 atm * 0.256 L) / (0.0821 L·atm/mol·K * 373 K)
n ≈ 0.0082 moles
2. Calculate the molar mass of the compound:
* Molar mass = mass / moles
* Molar mass = 0.800 g / 0.0082 moles
* Molar mass ≈ 97.56 g/mol
3. Determine the empirical formula mass:
* Empirical formula: CHCl
* Empirical formula mass: 12.01 g/mol (C) + 1.01 g/mol (H) + 35.45 g/mol (Cl) = 48.47 g/mol
4. Find the ratio of the molar mass to the empirical formula mass:
* Ratio = Molar mass / Empirical formula mass
* Ratio = 97.56 g/mol / 48.47 g/mol ≈ 2
5. Determine the molecular formula:
* Since the ratio is approximately 2, the molecular formula is twice the empirical formula:
* Molecular formula = (CHCl)₂ = C₂H₂Cl₂
Therefore, the molecular formula of the compound is C₂H₂Cl₂.