The empirical formula for the given compound has been [tex]\rm SO_2[/tex]. Thus, option C is correct.
The empirical formula has been the whole unit ratio of the elements in the formula unit.
The given mass of Sulfur has been, 50.05 g
The given mass of oxygen has been 49.95 g.
The moles of elements in the sample has been given by:
[tex]\rm Moles=\dfrac{Mass}{Molar\;mass} [/tex]
[tex]\rm Moles\;S=\dfrac{50.05}{32}\\ Moles\;S=1.56\;mol[/tex]
The moles of sulfur in the unit has been 1.56 mol.
[tex]\rm Moles\;O=\dfrac{49.95}{16} \\ Moles\;O=3.12\;mol[/tex]
The moles of oxygen in the unit has been 3.12 mol.
The empirical formula unit has been given as:
[tex]\rm S_{1.56}O_{3.12}=SO_2[/tex]
Thus, the empirical formula for the given compound has been [tex]\rm SO_2[/tex]. Thus, option C is correct.
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