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At a certain temperature the vapor pressure of pure acetyl bromide CH3COBr is measured to be 467.torr. Suppose a solution is prepared by mixing 72.6g of acetyl bromide and 144.g of chloroform CHCl3.Calculate the partial pressure of acetyl bromide vapor above this solution. Round your answer to 3 significant digits.Note for advanced students: you may assume the solution is ideal.

Question

At a certain temperature the vapor pressure of pure acetyl bromide CH3COBr is measured to be 467.torr. Suppose a solution is prepared by mixing 72.6g of acetyl bromide and 144.g of chloroform CHCl3.Calculate the partial pressure of acetyl bromide vapor above this solution. Round your answer to 3 significant digits.Note for advanced students: you may assume the solution is ideal.

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Solution

To calculate the partial pressure of acetyl bromide vapor above the solution, we need to use Raoult's Law, which states that the partial pressure of a component in an ideal solution is equal to the vapor pressure of the pure component multiplied by its mole fraction in the solution.

Step 1: Calculate the moles of acetyl bromide (CH3COBr).

  • Molar mass of CH3COBr = 12.01 (C) + 1.01 (H) * 3 + 12.01 (C) + 16.00 (O) + 79.90 (Br) = 122.93 g/mol
  • Moles of CH3COBr = mass / molar mass = 72.6 g / 122.93 g/mol = 0.591 moles

Step 2: Calculate the moles of chloroform (CHCl3).

  • Molar mass of CHCl3 = 12.01 (C) + 1.01 (H) + 35.45 (Cl) * 3 = 119.37 g/mol
  • Moles of CHCl3 = mass / molar mass = 144 g / 119.37 g/mol = 1.206 moles

Step 3: Calculate the total moles in the solution.

  • Total moles = moles of CH3COBr + moles of CHCl3 = 0.591 + 1.206 = 1.797 moles

Step 4: Calculate the mole fraction of acetyl bromide (CH3COBr).

  • Mole fraction of CH3COBr = moles of CH3COBr / total moles = 0.591 / 1.797 = 0.329

Step 5: Calculate the partial pressure of acetyl bromide using Raoult's Law.

  • Partial pressure of CH3COBr = mole fraction of CH3COBr * vapor pressure of pure CH3COBr
  • Partial pressure of CH3COBr = 0.329 * 467 torr = 153.783 torr

Step 6: Round the answer to 3 significant digits.

  • Partial pressure of CH3COBr = 154 torr

Therefore, the partial pressure of acetyl bromide vapor above the solution is 154 torr.

This problem has been solved

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