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Find the values of $w$ , $x$ , $y$ , and $z$ for the following reaction. Also, identify the type of reaction.
$w\left( {Potassium\; Bromide} \right) + x\left( {Barium\; Iodide} \right) \to y\left( {Potassium\; Iodide} \right) + 2\left( {Barium\; Bromide} \right)$
A. 1, 1, 1, 1: Double displacement reaction
B. 1, 1, 1, 1: Decomposition reaction
C. 2, 1, 2, 1: Double displacement reaction
D. 2, 1, 2, 1: Decomposition reaction

Answer
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Hint: We must remember that the reaction is a salt metathesis response here and is known as a double replacement reaction. Double displacement reaction is a compound cycle including the trading of connections between two non-reacting chemical species. It includes the reaction which includes trading the cations or the anions, yet not trading both since you would wind up with similar substances you began with. The dissolvable for a twofold substitution response is generally water, and the reactants and items are normally ionic mixes and they can likewise be acids or bases.

Complete step by step answer:
We must remember that in this reaction, both the reactants trade ions for two new products and it consequently leads to a double displacement reaction.It is a double displacement reaction which is also known as a double replacement reaction that means it is a sort of synthetic response where two mixes respond, and the positive particles (cation) and the negative particles (anion) of the two reactants switch places, shaping two new compounds or items.
Here is an illustration of a double replacement reaction:
$2KB{r_{\left( {aq} \right)}} + Ba{I_{2\left( {aq} \right)}} \to 2K{I_{\left( {aq} \right)}} + BaB{r_{2\left( s \right)}}$
On adding Potassium bromide solution to Barium iodide solution, a precipitate of Barium bromide is formed.
When we trade the anion/cation accomplices to get the items, we likewise need to ensure that the item mixes are impartial since the reactant mixes are nonpartisan. This implies watching that the charges for the anion(s) and cation(s) counteract inside a compound.Precipitation is the arrangement of a strong in an answer or inside another strong during a substance response. This cycle generally happens when the centralization of broken down particles in the arrangement surpasses the solvency item.

Thus, the correct answer to the question is option C.

Note: In a twofold relocation response, atoms from two unique mixes switch places. The reactants are two mixes and the items are two distinct mixes. Double displacement reactions can likewise be called double replacement reactions. Here precipitate of Barium bromide is formed which can be shown through the mixture of both the ions. The double displacement reaction which brings about the formation of items with comparable or indistinguishable holding affiliations.