Answer: The coefficients are 2, 7, 4 and 6.
Explanation:
Every balanced chemical equation follows Law of conservation of mass.
This law states that mass can neither be created nor be destroyed but it can only be transformed from one form to another form. This means that total mass on the reactant side is equal to the total mass on the product side.
This also means that the total number of individual atoms on the reactant side will be equal to the total number of individual atoms on the product side.
For the given chemical reaction, the balanced equation follows:
[tex]2C_2H_6(g)+7O_2(g)\rightarrow 4CO2(g)+6H_2O(g)[/tex]
On reactant side:
Number of carbon atoms = 4
Number of hydrogen atoms = 12
Number of oxygen atoms = 14
On product side:
Number of carbon atoms = 4
Number of hydrogen atoms = 12
Number of oxygen atoms = 14
Hence, the coefficients are 2, 7, 4 and 6.