An explosive whose chemical formula is C3H6N6O6 produces water, carbon dioxide, and nitrogen gas when detonated in oxygen. write the chemical equation for the detonation reaction of this explosive.

C3H6N6O6 + O2==> H2O + CO2 + CO2 + N2

You should be able to balance this.
2C3H6N6O6 + 9O2 ==> 6H2O + 6CO2 + 6CO2 + 6N2

your carbon atoms aren't equal and i didn't split up my carbon dioxides however it should change anything balancing wise.

2C3H6N6O6 + 3O2==> 6h20 +6CO2(or 3CO2 +3CO2) + 6N2
C=6 C=6
H=12 H=12
N=12 N=12
O=18 O=18
Hope this helps!

The detonation reaction of the explosive with the chemical formula C3H6N6O6 can be represented by the following chemical equation:

C3H6N6O6 + O2 → CO2 + N2 + 3H2O

To write the chemical equation for the detonation reaction of the explosive with the chemical formula C3H6N6O6, we first need to identify the products formed when it detonates in oxygen: water (H2O), carbon dioxide (CO2), and nitrogen gas (N2).

The explosive, with the chemical formula C3H6N6O6, is also known as cyclotrimethylenetrinitramine, or simply RDX (Research Department Explosive). RDX is a common high explosive used in various applications.

Now let's write the balanced chemical equation for the detonation reaction of RDX in oxygen:

C3H6N6O6 + O2 → H2O + CO2 + N2

In this reaction, RDX reacts with oxygen (O2) and forms water (H2O), carbon dioxide (CO2), and nitrogen gas (N2).

Please note that the balanced equation above represents the stoichiometric ratio of the reactants and products.