Answer: [tex]a_0[/tex]=2,[tex]a_1[/tex]=25,[tex]a_2[/tex]=16, [tex]a_3[/tex]=18
Explanation:This is an oxidation reaction in which alkane [tex]C_nH_{2n+2}[/tex] is getting oxidised to give carbon dioxide and water.
[tex]a_0C_8H_18+a_1O_2\rightarrow a_2CO_2+a_3H_2O[/tex]
[tex]2C_8H_18+25O_2\rightarrow 16CO_2+18H_2O[/tex]
According to the law of conservation of mass, the number of atoms on product side must be equal to the number of atoms on reactant side so s the mass remains conserved.
Thus [tex]a_0[/tex]=2
[tex]a_1[/tex]=25
[tex]a_2[/tex]=16
[tex]a_3[/tex]=18