QUESTION IMAGE
Question
h3po4 + hcl → pcl5 + h2o
Step1: Balance phosphorus
$$\text{H}_3\text{PO}_4 + \text{HCl}
ightarrow \text{PCl}_5 + \text{H}_2\text{O}$$
There is 1 P on both sides.
Step2: Balance oxygen
$$\text{H}_3\text{PO}_4 + \text{HCl}
ightarrow \text{PCl}_5 + 4\text{H}_2\text{O}$$
Left side has 4 O (from $\text{H}_3\text{PO}_4$), right side now has 4 O (from $4\text{H}_2\text{O}$).
Step3: Balance hydrogen
$$\text{H}_3\text{PO}_4 + 5\text{HCl}
ightarrow \text{PCl}_5 + 4\text{H}_2\text{O}$$
Left side has $3 + 5 = 8$ H (from $\text{H}_3\text{PO}_4$ and $5\text{HCl}$), right side has $4\times2 = 8$ H (from $4\text{H}_2\text{O}$).
Step4: Balance chlorine
$$\text{H}_3\text{PO}_4 + 5\text{HCl}
ightarrow \text{PCl}_5 + 4\text{H}_2\text{O}$$
Left side has 5 Cl (from $5\text{HCl}$), right side has 5 Cl (from $\text{PCl}_5$).
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$$\text{H}_3\text{PO}_4 + 5\text{HCl}
ightarrow \text{PCl}_5 + 4\text{H}_2\text{O}$$