The following procedure provides a crude method of determining the molar mass of a volatile liquid. A liquid of mass 0.0153 g is introduced into a syringe and the end is capped (sealed). The syringe is transferred to a temperature bath maintained at 58.5 oC, and the liquid vaporizes. As the liquid vaporizes the plunger is pushed out. At equilibrium, the plunger reads 5.76 mL of gas. Atmospheric pressure is 740. mmHg. What is the approximate molar mass of the compound (in g/mol)?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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The following procedure provides a crude method of determining the molar mass of a volatile liquid. A liquid of mass 0.0153 g is introduced into a syringe and the end is capped (sealed). The syringe is transferred to a temperature bath maintained at 58.5 oC, and the liquid vaporizes. As the liquid vaporizes the plunger is pushed out. At equilibrium, the plunger reads 5.76 mL of gas. Atmospheric pressure is 740. mmHg. What is the approximate molar mass of the compound (in g/mol)?

Expert Solution
Step 1: Ideal gas equation

Answer:

PV equals straight m over straight M RT

Here:

straight P equals pressure space of space the space gas
straight V equals volume space space of space the space gas
straight m equals mass space space of space the space gas
straight M equals Molar space mass space space of space the space gas
straight T equals Temperature space left parenthesis in space straight K right parenthesis
straight R equals universal space gas space constant

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