Respuesta :
Answer:
Kb = 0.428 m/°C
Explanation:
To solve this problem we need to use the boiling-point elevation formula:
- Tsolution - Tpure solvent = Kb * m
Where Tsolution and Tpure solvent are the boiling point of the CS₂ solution (47.52 °C) and of pure CS₂ (46.3 °C), respectively. Kb is the constant asked by the problem, and m is the molality of the solution.
So in order to use that equation and solve for Kb, first we calculate the molality of the solution.
molality = mol solute / kg solvent
- Density of CS₂ = 1.26 g/cm³
- Mass of 410.0 mL of CS₂ ⇒ 410 cm³ * 1.26 g/cm³ = 516.6 g = 0.5166 kg
molality = 0.270 mol / 0.5166 kg = 0.5226 m
Now we solve for Kb:
Tsolution - Tpure solvent = Kb * m
- 47.52 °C - 46.3 °C = Kb * 0.5226 m
- Kb = 0.428 m/°C