Benzene (C₆H₆) is a trace component in gasoline. The main compnent of gasoline is octane (C₈H₈). What is the mole ratio of benzene to octane in the vapor above a solution of 16.0% benzene and 84.0% octane by mass at 25°C? The vapor pressures of benzene and octane at 25°C are 95 torr and 11 torr, respectively.
What is the mole ratio of benzene to octane in the vapor above a solution of 16.0% benzene and 84.0% octane by mass at 25°C? The vapor pressures of benzene and octane at 25°C are 95 torr and 11 torr, respective

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13-02-2024
Chemistry

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Benzene (C₆H₆) is a trace component in gasoline. The main compnent of gasoline is octane (C₈H₈). What is the mole ratio of benzene to octane in the vapor above a solution of 16.0% benzene and 84.0% octane by mass at 25°C? The vapor pressures of benzene and octane at 25°C are 95 torr and 11 torr, respectively.
What is the mole ratio of benzene to octane in the vapor above a solution of 16.0% benzene and 84.0% octane by mass at 25°C? The vapor pressures of benzene and octane at 25°C are 95 torr and 11 torr, respective

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beliobando5 beliobando5 · Answer 1 · 2024-02-13T19:06:06+01:00

To determine the mole ratio of benzene to octane in the vapor above the solution, we can use Raoult's law. According to Raoult's law, the vapor pressure of a component in a solution is proportional to its mole fraction in the solution.

First, let's calculate the mole fraction of benzene and octane in the solution:
- The mass percent of benzene is 16.0%, which means that the mass of benzene in the solution is 16.0 g.
- The mass percent of octane is 84.0%, which means that the mass of octane in the solution is 84.0 g.

Next, we need to convert the masses of benzene and octane to moles:
- The molar mass of benzene (C₆H₆) is 78.11 g/mol, so the moles of benzene in the solution is 16.0 g / 78.11 g/mol.
- The molar mass of octane (C₈H₁₈) is 114.22 g/mol, so the moles of octane in the solution is 84.0 g / 114.22 g/mol.

Now, we can calculate the mole fraction of benzene and octane:
- The mole fraction of benzene is moles of benzene / (moles of benzene + moles of octane).
- The mole fraction of octane is moles of octane / (moles of benzene + moles of octane).

Finally, the mole ratio of benzene to octane in the vapor above the solution is equal to the mole fraction of benzene divided by the mole fraction of octane.

Let's calculate the mole ratio!