My Chemistry professor Gave us This problem, Its a double replacement/displaceme

Question

My Chemistry professor
Gave us This problem, Its a double replacement/displacementor metathesis reaction

a) Barium Chloride + Silver Nitrate (arrow)

Then he got: BaCl2 + 2AgNO3 (arrow) 2AgCl(s)+Ba(NO3)2

I dont understand where he got the Coefficent 2infront of the Silver.

b)Potassium Hydroxide + Hydrogen Phosphate (Phosphoric Acid)(arrow)

he got: 3KOH + H3PO4(arrow) K3PO4+3H2O

I dont understand why the Coefficent 3 is infront of Potassium

Its probally the same anwser for both questions but please explainhow you know to put whatever number of coefficents in frontof the compound I do not need the problem workedout.

Explanation / Answer

In the reactants of the first reaction there is BaCl2which contains two chlorine atoms. In the products there AgCl, butit only has one chlorine atom. So to balance out the equation, youhave to have two chlorine atoms in the products. So you need to puta 2 in front of the AgCl. But now you have to Ag atoms on theproduct side, but only one on the reactant side. So you need to puta two in front of the AgNO3. Basically all you need to do is to have equal amounts of atoms oneach side.

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