Final answer:
The approximate total mass of the gas should be the product of the number of atoms and the mass per atom, however, the given options seem to contain typos in their exponent values and do not provide a correct calculation.
Step-by-step explanation:
To find the total mass of all the atoms of the gas in the container, you need to multiply the number of atoms by the mass of each atom. The correct calculation is (5.04 × 104 atoms) × (1.67 × 10-22 grams/atom). This calculation yields (5.04 × 104 × 1.67 × 10-22) grams, which equals 8.4168 × 10-18 grams. However, the answer options provided seem to have a typo in the exponent values making them unworkable. Under normal circumstances, the correct option should provide the product of the number of atoms and the mass per atom and consider proper scientific notation and significant figures.
Using the principles of stoichiometry and Avogadro's number, one can determine that the mass of any substance in grams per mole is numerically equivalent to its atomic or molecular mass in atomic mass units (amu).
None of the answer choices seem to account for the correct scientific notation or the apparent typos in the question. The approximate total mass should be calculated by a straightforward multiplication of atoms by their individual mass.