Question

_c₆h₁₂o₆ + _o₂ → _h₂o + _co₂

Explanation:

Step1: Balance carbon atoms

For \(C_6H_{12}O_6\), there are 6 carbon atoms. In \(CO_2\), to balance carbon, if we assume the coefficient of \(C_6H_{12}O_6\) is \(1\), then the coefficient of \(CO_2\) should be \(6\) (since \(C_6H_{12}O_6
ightarrow6CO_2\)).

Step2: Balance hydrogen atoms

In \(C_6H_{12}O_6\), there are 12 hydrogen atoms. In \(H_2O\), since each \(H_2O\) has 2 hydrogen atoms, to balance hydrogen, if the coefficient of \(C_6H_{12}O_6\) is \(1\), then the coefficient of \(H_2O\) should be \(6\) (\(12H
ightarrow6H_2O\)).

Step3: Balance oxygen atoms

On the left - hand side, if the coefficient of \(C_6H_{12}O_6\) is \(1\), it has 6 oxygen atoms. On the right - hand side, \(6H_2O\) has \(6\) oxygen atoms and \(6CO_2\) has \(12\) oxygen atoms, so the total number of oxygen atoms on the right - hand side is \(6 + 12=18\). The oxygen atoms from \(O_2\): let the coefficient of \(O_2\) be \(x\). We know that \(6+2x=18\) (oxygen from \(C_6H_{12}O_6\) and \(O_2\) on the left, oxygen from \(H_2O\) and \(CO_2\) on the right). Solving \(2x=18 - 6=12\), we get \(x = 6\).

Answer:

\(1C_6H_{12}O_6+6O_2
ightarrow6H_2O + 6CO_2\)