The molar mass of a vapor can be determined by a specific experimental procedure involving condensing the vapor back into a liquid. This process, as outlined in the reference, relies on precise measurements of mass.
Determining Molar Mass of a Vapor Experimentally
Here's how you can experimentally determine the molar mass of a condensable vapor:
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Preparation:
- Start with a clean, dry, and weighed bulb. Note this initial mass.
- Add an excess amount of the corresponding liquid to the weighed bulb.
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Vaporization:
- Heat the assembly (bulb with liquid) carefully.
- This heat volatilizes all the liquid, turning it into vapor.
- Continue heating to expel all excess vapor, leaving only saturated vapor in the bulb at the heating temperature and external pressure.
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Condensation and Measurement:
- Cool the bulb containing only the vapor, allowing it to condense back into a liquid.
- Carefully weigh the bulb again with the condensed vapor. Note this mass.
- Calculate the mass of the vapor using the initial and final weights of the bulb.
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Calculation:
- Using the experimental parameters (mass of vapor, temperature, volume, and external pressure) and the ideal gas law (PV=nRT), determine the number of moles of the vapor (n).
- The molar mass (M) of the vapor is then calculated using the mass of the vapor (m) and the number of moles using the formula M= m/n.
Summary of the Process
Step | Description |
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1. Preparation | Weigh empty bulb; add excess liquid sample. |
2. Vaporization | Heat to convert liquid to vapor; expel excess vapor. |
3. Condensation | Cool to condense the vapor back to a liquid. |
4. Measurement | Weigh bulb with the condensed liquid, calculate the mass of the vapor by weight difference. |
5. Calculation | Use ideal gas law and mass of vapor to determine moles, then calculate molar mass (M=m/n). |
This method, using the process of condensation to find the mass of the vapor, is a reliable technique for determining the molar mass of many condensable vapors, by calculating the number of moles, which allows you to find the molar mass.