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A solution is made by mixing 52.1 g of propyl chloride, [tex]C_3H_7Cl[/tex], and 38.4 g of propyl bromide, [tex]C_3H_7Br[/tex]. What is the lowering of the vapor pressure of propyl chloride at 25°C in this solution?

Answer :

Final answer:

The lowering of the vapor pressure of propyl chloride in the solution can be calculated using Raoult's law. However, without additional information such as the vapor pressure of pure propyl chloride at 25°C and the vapor pressure of the solution, we cannot provide a specific numerical answer.

Explanation:

To calculate the lowering of the vapor pressure of propyl chloride in the solution, we need to use Raoult's law. Raoult's law states that the vapor pressure of a solvent in a solution is directly proportional to the mole fraction of the solvent in the solution.

First, we need to calculate the mole fraction of propyl chloride in the solution. To do this, we need to calculate the moles of propyl chloride and propyl bromide.

Given:

  • Mass of propyl chloride (C3H7Cl) = 52.1 g
  • Mass of propyl bromide (C3H7Br) = 38.4 g

To calculate the moles of propyl chloride and propyl bromide, we need to know their molar masses. The molar mass of propyl chloride (C3H7Cl) is approximately 92.57 g/mol, and the molar mass of propyl bromide (C3H7Br) is approximately 122.99 g/mol.

Using the formula:

Moles = Mass / Molar Mass

We can calculate the moles of propyl chloride and propyl bromide:

  • Moles of propyl chloride = 52.1 g / 92.57 g/mol
  • Moles of propyl bromide = 38.4 g / 122.99 g/mol

Next, we need to calculate the total moles of solute in the solution:

Total moles of solute = Moles of propyl chloride + Moles of propyl bromide

Now, we can calculate the mole fraction of propyl chloride:

Mole fraction of propyl chloride = Moles of propyl chloride / Total moles of solute

Once we have the mole fraction of propyl chloride, we can use Raoult's law to calculate the lowering of the vapor pressure of propyl chloride in the solution at 25°C.

However, we need additional information such as the vapor pressure of pure propyl chloride at 25°C and the vapor pressure of the solution. Without this information, we cannot provide a specific numerical answer.

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