Barium reacts with a polyatomic ion to form a compound with the general formula Ba3(X)2. What would be the most likely formula for the compound formed between sodium and the polyatomic ion X?

A. NaX
B. Na2X
C. Na2X2
D. Na3X
E. Na3X2

Respuesta :

Answer:

D. Na₃X

Explanation:

We have the neutral compound Ba₃(X)₂. The total charge (zero) is equal to the sum of the charges of the ions times the number of ions in the molecule.

3 × qBa + 2 × qX = 0

3 × (+2) + 2 × qX = 0

2 × qX = -6

qX = -3

If we have the cation Na⁺ and X³⁻, a neutral molecule would require 3 Na⁺ and 1 X³⁻. The resulting compound is Na₃X.

The formula that would be most adequate for the compound framed with sodium and polyatomic would be:

D). Na₃X

 

Given that,

Neutral Compound = Ba₃(X)₂

The charge in totality(0) = sum of ions' charge × the number of molecular ions

⇒ [tex]3[/tex] × [tex]qBa[/tex] + [tex]2[/tex] × [tex]qX[/tex] [tex]= 0[/tex]

⇒ [tex]3[/tex] × [tex](+2)[/tex] + [tex]2[/tex] × [tex]qX = 0[/tex]

⇒ [tex]2[/tex] × [tex]qX = -6[/tex]

⇒ [tex]qX = -3[/tex]

In case the cation [tex]Na^{+}[/tex], as well as, [tex]X^{3-}[/tex], are present, the molecule that is neutral would need [tex]3Na^{+}[/tex]along with [tex]1 X^{3-}[/tex]

Thus, the produced compound would be [tex]Na_{3}X[/tex]

Thus, option D is the correct answer.

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