Here's how to determine the molar mass of adrenaline using the provided information:

Understanding the Concepts

* Boiling Point Elevation: When a non-volatile solute (like adrenaline) is dissolved in a solvent (like CCl4), it raises the boiling point of the solution. This elevation is directly proportional to the molality of the solution.

* Molality: Molality (m) is defined as the moles of solute per kilogram of solvent.

* The Equation: The relationship between boiling point elevation (ΔT_b), molality (m), and the molal boiling point elevation constant (K_b) is:

ΔT_b = K_b * m

Steps

1. Find the Molal Boiling Point Elevation Constant (K_b) for CCl4: You'll need to look this up in a reference table. The K_b for CCl4 is approximately 5.02 °C/m.

2. Calculate the Molality (m):

* ΔT_b = 0.49 °C

* K_b = 5.02 °C/m

* m = ΔT_b / K_b = 0.49 °C / 5.02 °C/m = 0.0976 m

3. Calculate the Moles of Adrenaline:

* Mass of adrenaline = 0.64 g

* Mass of CCl4 = 36.0 g = 0.036 kg (convert grams to kilograms)

* Molality = 0.0976 mol/kg

* Moles of adrenaline = Molality * Mass of solvent = 0.0976 mol/kg * 0.036 kg = 0.00351 mol

4. Calculate the Molar Mass:

* Molar mass = Mass of adrenaline / Moles of adrenaline = 0.64 g / 0.00351 mol = 182.3 g/mol

Therefore, the approximate molar mass of adrenaline in this solution is 182.3 g/mol.

Important Note: This calculation assumes that adrenaline behaves ideally as a non-volatile solute in CCl4. In reality, there might be slight deviations from ideal behavior.