Question

1. s + fe₂o₃ → fe + so₃
2. cu₂o + c → cu + co₂

Explanation:

Step1: Balance the first equation

We use the principle of conservation of atoms. For the equation \(S + Fe_2O_3
ightarrow Fe+SO_3\).
Let's start with oxygen. There are 3 oxygen atoms in \(Fe_2O_3\) and 3 oxygen atoms in \(SO_3\). Let the coefficient of \(S\) be \(1\), the coefficient of \(Fe_2O_3\) be \(1\), the coefficient of \(Fe\) be \(2\) and the coefficient of \(SO_3\) be \(1\). So the balanced equation is \(1S + 1Fe_2O_3
ightarrow2Fe + 1SO_3\).

Step2: Balance the second equation

For the equation \(Cu_2O + C
ightarrow Cu+CO_2\). First, balance the oxygen. There is 1 oxygen in \(Cu_2O\) and 2 oxygen in \(CO_2\). Multiply \(Cu_2O\) by 2 to get 2 oxygen atoms. Then we have \(2Cu_2O + C
ightarrow Cu+CO_2\). Now balance the copper. Since we have \(4\) copper atoms from \(2Cu_2O\), the coefficient of \(Cu\) is \(4\). And to balance the carbon, the coefficient of \(C\) is \(1\). So the balanced equation is \(2Cu_2O+1C
ightarrow4Cu + 1CO_2\)

Answer:

1. \(1S + 1Fe_2O_3

ightarrow2Fe + 1SO_3\)

1. \(2Cu_2O+1C

ightarrow4Cu + 1CO_2\)