Selenium, an element used in the manufacture of photoelectric cells and solar energy devices, forms two oxides. One has \(28.8 \%\) O, by mass, and the other, 37.8\% O. What are the formulas of these oxides? Propose acceptable names for them.

Short Answer

Expert verified
The formulas are Selenium Dioxide (\(SeO_2\)) and Selenium Trioxide (\(SeO_3\)).

Step by step solution

01

Convert Percentage Composition to Masses

Assume a 100g sample of each compound. Hence, one compound will have \(28.8g\) of Oxygen and \(71.2g\) of Selenium (since \(100g - 28.8g = 71.2g\) of Selenium). The other compound will have \(37.8g\) of Oxygen and \(62.2g\) of Selenium (since \(100g - 37.8g = 62.2g\) of Selenium).
02

Convert to Moles

The molar mass of Oxygen (\(O\)) is \(16g/mol\) and Selenium (\(Se\)) is \(78.96 g/mol\). For the first oxide, the moles of \(O = \frac{28.8}{16} = 1.8 mol\) and moles of \(Se = \frac{71.2}{78.96} = 0.9 mol\). For the second oxide, the moles of \(O = \frac{37.8}{16} = 2.3625 mol\) and moles of \(Se = \frac{62.2}{78.96} = 0.7875 mol\).
03

Find Empirical Formula

The ratio of \(O:Se\) for the first compound is \(1.8:0.9 = 2:1\) so the empirical formula is \(SeO_2\). The ratio of \(O:Se\) for the second compound is \(2.3625:0.7875 = 3:1\) so the empirical formula is \(SeO_3\).
04

Determine the Names of Compounds

The compound with empirical formula \(SeO_2\) is known as Selenium Dioxide, and the one with empirical formula \(SeO_3\) is often referred to as Selenium Trioxide.

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