Answer: Mass of the condensed vapor is 21.35 grams.
Explanation: As a gas, the Ideal Gas Law can be used to determine how many mols there are in the flask on the conditions described in question.
Temperature in K: 273 + 99.3 = 372.4K
Pressure in mmHg: P = 760.5 mmHg
Volume in L: V = 496.3.[tex]10^{-3}[/tex] = 0.5 L
Universal Constant of Gases in mmHg: R = 62.36 L.mmHg.K⁻¹.mol⁻¹
PV = nRT
n = [tex]\frac{PV}{RT}[/tex]
n = [tex]\frac{760.5.0.5}{62.36.372.4}[/tex]
n = 0.1625
To determine the mass in grams:
n = [tex]\frac{m}{M}[/tex]
m = nM
m = 0.1625.131.4
m = 21.35
On the conditions cited above, there are 21.35 grams of the unknown condensed vapor