Respuesta :

Answer:

    [tex]\large\boxed{\large\boxed{C_3H_4N_2}}[/tex]

Explanation:

The empirical fomula is the chemical formula using the least whole numbers that represent the ratio between the atoms.

[tex]C_9H_{12}N_6}[/tex] shows the ratio between the elements C, H, and N but not is the most simplified form.

The ratio 9 : 12 : 6 may be simplified by dividing the trhee numbers by the their greatest common factor.

  • 9 = 3²
  • 12 = 2² × 3
  • 6 = 2 × 3

The greatest common factor is the common factor raised to the lowes power. Hence it is 3.

Thus the simplified numbers are:

  • 9/3 = 3, for C
  • 12/3 = 4, for H
  • 6/3 = 2, for N

And the empirical formula of triethylenemelamine is:

           [tex]C_3H_4N_2[/tex]