Question

balance the chemical equation by selecting the appropriate coefficient for each substance. enter 1 if the coefficient is 1. do not leave it blank. a. b. c₂h₆(g) + o₂(g) → co₂(g) + h₂o(g) 1. 1 2. 2 3. 3 4. 4 5. 5 6. 6 7. 7 8. 8 9. 9

Explanation:

Step1: Balance carbon atoms

For \(C_2H_6\), if we assume the coefficient of \(C_2H_6\) is \(2\), then the number of carbon atoms on the left - hand side is \(2\times2 = 4\). So the coefficient of \(CO_2\) should be \(4\) to balance carbon atoms (\(4\times1=4\)).

Step2: Balance hydrogen atoms

If the coefficient of \(C_2H_6\) is \(2\), the number of hydrogen atoms on the left - hand side is \(2\times6 = 12\). For \(H_2O\), if the coefficient of \(H_2O\) is \(6\) (\(6\times2 = 12\)), hydrogen atoms are balanced.

Step3: Balance oxygen atoms

The right - hand side has \(4\times2+6\times1=8 + 6=14\) oxygen atoms. So the coefficient of \(O_2\) is \(\frac{14}{2}=7\)

Answer:

\(2C_2H_6(g)+7O_2(g)\to4CO_2(g)+6H_2O(g)\)
So the coefficients are \(2\) (\(C_2H_6\)), \(7\) (\(O_2\)), \(4\) (\(CO_2\)), \(6\) (\(H_2O\))