PCl_(5)+underline ( )H_(2)Oarrow underline ( )HCl+H_(3)PO_(4) What coefficients would be needed to balance the above equation? 4,5 3,8 2,2 1,6

To balance the chemical equation, we need to ensure that the number of atoms of each element is the same on both sides of the equation.<br /><br />Given equation: $PCl_{5} + \underline{\quad}H_{2}O \rightarrow \underline{\quad}HCl + H_{3}PO_{4}$<br /><br />Let's start by balancing the chlorine (Cl) atoms. There are 5 chlorine atoms in $PCl_{5}$, so we need 5 chlorine atoms on the product side. Therefore, we need 5 molecules of $HCl$.<br /><br />Now, let's balance the hydrogen (H) atoms. There are 5 hydrogen atoms in 5 molecules of $HCl$, so we need 5 hydrogen atoms on the reactant side. Therefore, we need 5 molecules of $H_{2}O$.<br /><br />Finally, let's balance the phosphorus (P) atoms. There is 1 phosphorus atom in $PCl_{5}$ and 1 phosphorus atom in $H_{3}PO_{4}$. So, the phosphorus atoms are already balanced.<br /><br />The balanced chemical equation is:<br />$PCl_{5} + 5H_{2}O \rightarrow 5HCl + H_{3}PO_{4}$<br /><br />Therefore, the coefficients needed to balance the equation are 1, 5, 5, and 1.