Diphosphorus pentoxide reacts with water to produce phosphoric acid (H_3PO_4H3PO4). How do you write the balanced equation for this reaction?

1 Answer
Jan 15, 2016

"P"_4"O"_text(10(s]) + 6"H"_2"O"_text((l]) -> 4"H"_3"PO"_text(4(aq])P4O10(s]+6H2O(l]4H3PO4(aq]

Explanation:

The interesting thing about diphosphorus pentoxide, "P"_2"O"_5P2O5, is that it usually exists as a dimer.

This implies that "P"_2"O"_5P2O5 is actually the compound's empirical formula and that you should use "P"_4"O"_10P4O10 as its molecular formula.

Now, diphosphorus pentoxide reacts violently with water to form phosphoric acid, "H"_3"PO"_4H3PO4. The reaction is highly exothermic and leads to the formation of toxic fumes.

The unbalanced chemical equation for this reaction looks like this

"P"_4"O"_text(10(s]) + "H"_2"O"_text((l]) -> "H"_3"PO"_text(4(aq])P4O10(s]+H2O(l]H3PO4(aq]

To balance this equation, start by multiplying the phosphoric acid by 44 to get equal numbers of atoms of phosphorus on both sides of the equation

"P"_4"O"_text(10(s]) + "H"_2"O"_text((l]) -> 4"H"_3"PO"_text(4(aq])P4O10(s]+H2O(l]4H3PO4(aq]

Notice that you have 22 atoms of hydrogen on the reactants' side and 1212 on the products' side. Multiply the water molecule by 66 to balance the hydrogen atoms out.

Incidentally, this will also balance out the atoms of oxygen, since you'd now have 1616 on the reactants' side and 1616 on the products' side.

The balanced chemical equation for this reaction will thus be

"P"_4"O"_text(10(s]) + 6"H"_2"O"_text((l]) -> 4"H"_3"PO"_text(4(aq])P4O10(s]+6H2O(l]4H3PO4(aq]

It's worth mentioning that diphosphorus pentoxide is a very powerful dehydrating agent.

SIDE NOTE You'll sometimes see this reaction written using the empirical formula of diphosphorus pentoxide, "P"_2"O"_5P2O5. In that case, the balanced chemical equation will be

"P"_2"O"_text(5(s]) + 3"H"_2"O"_text((l]) -> 2"H"_3"PO"_text(4(aq])P2O5(s]+3H2O(l]2H3PO4(aq]