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Let's start with reactants.

The number of carbons in the atmosphere is not the same as the number of carbons in products.

There are two carbon atoms on the reactant side and one carbon atom on the product side.

To balance, we must multiply by 2.

LHS contains six hydrogen atoms, whereas RHS contains two hydrogen atoms.

We can balance the hydrogen atoms by multiplying by 3.

The equation now reads:

C2H6 + O2 → 2CO2+ 3H2O

LHS has two oxygen atoms and RHS has seven oxygen atoms.

To balance the oxygen atom, we can multiply by 7/2.

The equation is now:

C2H6 + 7/2O2 → 2CO2+ 3H2O

However, it is assumed that coefficients are whole numbers.

So we get the balanced chemical equation by multiplying the entire equation by 2.

2C2H6 +7O2 → 4CO2+ 6H2O

Final Answer: The balanced equation of C2H6 + O2 → CO2+H2O is  2C2H6 +7O2 → 4CO2+6H2O

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