H3PO4+AgNO3= K3PO4+AgNO3=

To write the balanced chemical equations for the reactions of phosphoric acid (H₃PO₄) and potassium phosphate (K₃PO₄) with silver nitrate (AgNO₃), we should first identify the type of reactions taking place.

1. Reaction of H₃PO₄ with AgNO₃: Phosphoric acid reacts with silver nitrate to form silver phosphate (Ag₃PO₄) and nitric acid (HNO₃). The balanced equation for this reaction is:

   \[ 3 \, \text{AgNO}_3 + \text{H}_3\text{PO}_4 \rightarrow \text{Ag}_3\text{PO}_4 + 3 \, \text{HNO}_3 \]

2. Reaction of K₃PO₄ with AgNO₃: Potassium phosphate reacts with silver nitrate to form silver phosphate (Ag₃PO₄) and potassium nitrate (KNO₃). The balanced equation for this reaction is:

   \[ \text{K}_3\text{PO}_4 + 3 \, \text{AgNO}_3 \rightarrow \text{Ag}_3\text{PO}_4 + 3 \, \text{KNO}_3 \]

So, the complete balanced reactions are:

1. \( 3 \, \text{AgNO}_3 + \text{H}_3\text{PO}_4 \rightarrow \text{Ag}_3\text{PO}_4 + 3 \, \text{HNO}_3 \)

2. \( \text{K}_3\text{PO}_4 + 3 \, \text{AgNO}_3 \rightarrow \text{Ag}_3\text{PO}_4 + 3 \, \text{KNO}_3 \)