QUESTION IMAGE
Question
when the following molecular equation is balanced using the smallest possible integer coefficients, the values of these coefficients are: diphosphorus pentoxide (s) + water (l) → phosphoric acid (aq)
Step1: Write the unbalanced equation
The un - balanced chemical equation is \(P_{2}O_{5}(s)+H_{2}O(l)\to H_{3}PO_{4}(aq)\)
Step2: Balance the phosphorus atoms
There are 2 phosphorus atoms in \(P_{2}O_{5}\). So, we put a coefficient of 2 in front of \(H_{3}PO_{4}\). The equation becomes \(P_{2}O_{5}(s)+H_{2}O(l)\to2H_{3}PO_{4}(aq)\)
Step3: Balance the oxygen atoms
On the right - hand side, in \(2H_{3}PO_{4}\), the number of oxygen atoms is \(2\times4 = 8\). In \(P_{2}O_{5}\), the number of oxygen atoms is 5. So, the number of oxygen atoms from water should be \(8 - 5=3\).
Step4: Balance the hydrogen atoms
On the right - hand side, in \(2H_{3}PO_{4}\), the number of hydrogen atoms is \(2\times3 = 6\). If we put a coefficient of 3 in front of \(H_{2}O\), the number of hydrogen atoms from water is \(3\times2 = 6\)
The balanced equation is \(P_{2}O_{5}(s)+3H_{2}O(l)\to2H_{3}PO_{4}(aq)\)
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