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An empty flask has a mass of 47.392 g and 47.816 g when filled with acetone vapor at 100.° C and 745 mm Hg. If the volume of the flask is 247.3 mL, what is the molecular mass of the acetone?

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Final answer:

To find the molecular mass of acetone, use the ideal gas law equation to calculate the number of moles and then divide the mass by the number of moles.

Step-by-step explanation:

To find the molecular mass of the acetone, we need to use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. Rearranging the equation to solve for n, we get n = PV/RT. First, we convert the volume to liters and the temperature to Kelvin. Then, we use the given values of pressure, volume, and temperature to calculate the number of moles using the ideal gas law equation. Finally, we divide the mass of acetone by the number of moles to find the molecular mass.

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