Respuesta :
The empirical formula of a gaseous organic compound containing only carbon, hydrogen, and nitrogen is [tex]C_{} H_{3} NH_{2}[/tex] .
Calculation
Let the compound will be [tex]C_{x} H_{y} N_{z}[/tex] and combustion of this molecule in presence of oxygen gives carbon dioxide , nitrogen and water molecule as ,
[tex]C_{x} H_{y} N_{z}[/tex]  +  [tex]O_{2}[/tex]  →  [tex]N_{2}[/tex]  +  [tex]CO_{2}[/tex]  + [tex]H_{2} O[/tex]
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The equation will be as
4[tex]C_{x} H_{y} N_{z}[/tex]  +  [tex]O_{2}[/tex]  →  2[tex]N_{2}[/tex]  + 4[tex]CO_{2}[/tex]  + 10[tex]H_{2} O[/tex]
Number of carbon atom in right side = 4
Number of carbon atom in left hand = 4
So value of x = 1
Number of hydrogen atom in right side = 4
Number of hydrogen atom in left side = 20
So value of y = 5
Number of nitrogen atom in right side = 4
Number of nitrogen atom in left side = 4
So value of y = 1
So the molecular formula of [tex]C_{x} H_{y} N_{z}[/tex] Â is [tex]C_{} H_{5} N_{}[/tex] or [tex]C_{} H_{3} NH_{2}[/tex]
The empirical formula of the compound = [tex]C_{} H_{3} NH_{2}[/tex]
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