Question

when the following molecular equation is balanced using the smallest possible integer coefficients, the values of these coefficients are. perchloric acid (hclo₄) (aq) + tetraphosphorus decaoxide (s) → phosphoric acid (aq) + dichlorine heptaoxide (l). 9 more group attempts remaining. submit answer retry entire group

Explanation:

Step1: Write the un - balanced equation

$HClO_4(aq)+P_4O_{10}(s)
ightarrow H_3PO_4(aq) + Cl_2O_7(l)$

Step2: Balance the phosphorus atoms

There are 4 phosphorus atoms in $P_4O_{10}$. So, we put a 4 in front of $H_3PO_4$: $HClO_4(aq)+P_4O_{10}(s)
ightarrow 4H_3PO_4(aq)+Cl_2O_7(l)$

Step3: Balance the hydrogen atoms

On the right - hand side, we have $4\times3 = 12$ hydrogen atoms in $4H_3PO_4$. So, we put a 12 in front of $HClO_4$: $12HClO_4(aq)+P_4O_{10}(s)
ightarrow 4H_3PO_4(aq)+Cl_2O_7(l)$

Step4: Balance the chlorine atoms

We have 12 chlorine atoms in $12HClO_4$. So, we put a 6 in front of $Cl_2O_7$: $12HClO_4(aq)+P_4O_{10}(s)
ightarrow 4H_3PO_4(aq)+6Cl_2O_7(l)$

Step5: Check the oxygen atoms

On the left - hand side: $12\times4 + 10=48 + 10 = 58$ oxygen atoms. On the right - hand side: $4\times4+6\times7 = 16 + 42=58$ oxygen atoms. The equation is balanced.

Answer:

The coefficients are 12, 1, 4, 6.