Nitrogen and oxygen form an extensive series of oxides with the general formula NxOy. What is the empirical formula for an oxide that contains 30.44% by mass nitrogen?

Respuesta :

Answer:

[tex]NO_{2}[/tex]

Explanation:

Given, mass percentage of Nitrogen is 30.44

So, mass percentage of Oxygen is 100 - 30.44 = 69.56

Calculation:-

Element   Mass       Atomic      Number of      Simple molar       Simple whole

                percent    mass      moles             ratio                   number ratio

Nitrogen 30.44       14       2.17          2.17/2.17 = 1           1

Oxygen 69.56       16       4.34          4.34/2.17 = 2           2

So, Empirical formula = [tex]N_{1}O_{2} = NO_{2}[/tex]

A chemical compound with at least one atom of oxygen is called oxides. The empirical formula of the compound with oxide will be [tex]\rm NO_{2}.[/tex]

What is the empirical formula?

The whole number representation of the atoms present in a compound is called the empirical formula.

The mass percentage is the nitrogen is given as 30.44%. So, the mass percentage of oxygen in the compound will be 100 - 30.44 = 69.56%.

The moles of nitrogen in the compound will be:

[tex]\begin{aligned} \rm moles &= \rm \dfrac{mass}{molar\;mass}\\\\&= \dfrac{30.44}{14}\\\\&= 2.17\;\rm mol\end{aligned}[/tex]

The moles of oxygen in the compound will be:

[tex]\begin{aligned} \rm moles &= \rm \dfrac{mass}{molar\;mass}\\\\&= \dfrac{69.56}{16}\\\\&= 4.34\;\rm mol\end{aligned}[/tex]

The simplest molar ratio of nitrogen will be [tex]\dfrac{2.17}{2.17} = 1[/tex]

The simplest molar ratio of oxygen will be [tex]\dfrac{4.34}{2.17} = 2[/tex]

Therefore, the empirical formula for the oxide-containing compound will be [tex]\rm N_{1}O_{2}[/tex] or [tex]\rm NO_{2}.[/tex]

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