Respuesta :

Step 1: Write the unbalanced equation,

                                 C₂H₆  +  O₂    →    CO₂  +  H₂O

There are 2 C at left hand side and 1 carbon at right hand side. So, multiply CO
₂ by 2 to balance C atoms at both side. So,

                                 C₂H₆  +  O₂    →   2 CO₂  +  H₂O

Now, count number of H atoms at both sides. There are 6 H atoms at left hand side and 2 at right hand side. Multiply H₂O by 3 to balance H atoms.


                                 C₂H₆  +  O₂    →   2 CO₂  +  3 H₂O

At last, balance O atoms. There are 2 O atoms at left hand side and 3 O atoms at right hand side. Multiply O₂ with 1.5 (i.e. 3/2) to balance O atoms. i.e.

                                 C₂H₆  +  3/2 O₂    →   2 CO₂  +  3 H₂O

Hence, the equation is balanced. If you want to make equation fraction free then multiply all equation with 2. i.e.

                           ( C₂H₆  +  3/2 O₂    →   2 CO₂  +  3 H₂O ) × 2

                                2 C₂H₆  +  3 O₂    →   4 CO₂  +  6 H₂O

Explanation:

In a balanced equation, number of atoms on both reactant and product side are equal.

For example, [tex]C_{2}H_{6} + O_{2} \rightarrow CO_{2} + H_{2}O[/tex]

Number of atoms present on reactant side are as follows.

C = 2

H = 6

O = 2

Number of atoms present on product side are as follows.

C = 1

H = 2

O = 3

Therefore, to balance this equation multiply [tex]C_{2}H_{6}[/tex] by 2 and multiply [tex]O_{2}[/tex] by 7 on reactant side. Whereas multiply [tex]CO_{2}[/tex] by 4 and multiply [tex]H_{2}O[/tex] by 6 on product side.

Therefore, the balanced chemical equation is as follows.

          [tex]2C_{2}H_{6} + 7O_{2} \rightarrow 4CO_{2} + 6H_{2}O[/tex]

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