Final answer:
To calculate the molar mass of the vaporized liquid, use the ideal gas law (PV = nRT) to determine the number of moles and divide the given mass by the number of moles.
Step-by-step explanation:
The question is asking to calculate the molar mass of a substance using the ideal gas law equation PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.
In this case, the substance has been vaporized to form a gas with a volume of 0.470 L, under a pressure of 752 torr at a temperature of 112°C (385 K). The ideal gas constant R, as given in the question, is 62.4 (L ⋅ torr)/(mol ⋅ K). Using the formula n = PV/RT, we can solve for n (the number of moles), and then calculate the molar mass by dividing the mass of the gas by the number of moles:
Molar mass = Mass/Number of moles