Here's how to calculate the partition coefficient:
1. Determine the Concentration in Benzene:
* Convert mg to g: 250 mg = 0.250 g
* Calculate concentration in g/mL: 0.250 g / 50 mL = 0.005 g/mL
2. Determine the Concentration in Water:
* You'll need to look up the solubility of benzoic acid in water. This information is usually given in g/100mL or g/L.
3. Calculate the Partition Coefficient (K):
* The partition coefficient is the ratio of the concentration of the solute in the organic phase (benzene in this case) to the concentration in the aqueous phase (water).
* K = [Benzoic Acid in Benzene] / [Benzoic Acid in Water]
Example:
Let's assume the solubility of benzoic acid in water is 0.3 g/100 mL.
* Convert to g/mL: 0.3 g / 100 mL = 0.003 g/mL
* Calculate K: K = 0.005 g/mL / 0.003 g/mL = 1.67
Therefore, the partition coefficient of benzoic acid between benzene and water would be 1.67 in this example.
Important Notes:
* The partition coefficient is a measure of how much a compound prefers one solvent over another. A higher K value indicates a greater preference for the organic solvent.
* The partition coefficient can vary depending on temperature and pH.
* The actual solubility of benzoic acid in water will need to be looked up or experimentally determined.
