Dưới đây là các phương trình phản ứng đã được cân bằng:

### 32. \( \text{Fe}_2\text{O}_3 + \text{H}_2 \rightarrow \text{Fe} + \text{H}_2\text{O} \)
\[
\text{2Fe}_2\text{O}_3 + 3\text{H}_2 \rightarrow 4\text{Fe} + 3\text{H}_2\text{O}
\]

### 33. \( \text{Al}(\text{NO}_3)_3 \rightarrow \text{Al}_2\text{O}_3 + \text{NO}_2 + \text{O}_2 \)
\[
4\text{Al}(\text{NO}_3)_3 \rightarrow 2\text{Al}_2\text{O}_3 + 12\text{NO}_2 + 3\text{O}_2
\]

### 34.
\[
\text{FeSO}_4 + \text{H}_2\text{SO}_4 + \text{KMnO}_4 \rightarrow \text{Fe}_2\text{(SO}_4)_3 + \text{K}_2\text{SO}_4 + \text{MnSO}_4 + \text{H}_2\text{O}
\]
\[
\text{5FeSO}_4 + 8\text{H}_2\text{SO}_4 + \text{KMnO}_4 \rightarrow 5\text{Fe}_2\text{(SO}_4)_3 + \text{K}_2\text{SO}_4 + \text{MnSO}_4 + 8\text{H}_2\text{O}
\]

### 35.
\[
\text{KMnO}_4 + \text{K}_2\text{S}_2\text{O}_3 + \text{H}_2\text{O} \rightarrow \text{MnO}_2 + \text{K}_2\text{SO}_4 + \text{KOH}
\]
\[
\text{2KMnO}_4 + \text{5K}_2\text{S}_2\text{O}_3 + \text{6H}_2\text{O} \rightarrow 2\text{MnO}_2 + 10\text{K}_2\text{SO}_4 + 6\text{KOH}
\]

### 36.
\[
\text{SO}_2 + \text{KMnO}_4 + \text{H}_2\text{O} \rightarrow \text{MnSO}_4 + \text{K}_2\text{SO}_4 + \text{H}_2\text{SO}_4
\]
\[
\text{3SO}_2 + 2\text{KMnO}_4 + 2\text{H}_2\text{O} \rightarrow 2\text{MnSO}_4 + K_2\text{SO}_4 + 2\text{H}_2\text{SO}_4
\]

### 37.
\[
\text{K}_2\text{Cr}_2\text{O}_7 + \text{H}_2\text{S} + \text{H}_2\text{SO}_4 \rightarrow \text{Cr}_2(\text{SO}_4)_3 + \text{K}_2\text{SO}_4 + \text{S} + \text{H}_2\text{O}
\]
\[
\text{K}_2\text{Cr}_2\text{O}_7 + 3\text{H}_2\text{S} + 4\text{H}_2\text{SO}_4 \rightarrow \text{Cr}_2(\text{SO}_4)_3 + \text{K}_2\text{SO}_4 + 3\text{S} + 6\text{H}_2\text{O}
\]

### 38.
\[
\text{P} + \text{H}_2\text{SO}_4 \rightarrow \text{H}_3\text{PO}_4 + \text{SO}_2 + \text{H}_2\text{O}
\]
\[
\text{4P} + 6\text{H}_2\text{SO}_4 \rightarrow 2\text{H}_3\text{PO}_4 + 6\text{SO}_2 + 2\text{H}_2\text{O}
\]

### 39.
\[
\text{Fe}_3\text{O}_4 + \text{HNO}_3 \rightarrow \text{Fe}(\text{NO}_3)_3 + \text{NO} + \text{H}_2\text{O}
\]
\[
\text{Fe}_3\text{O}_4 + 8\text{HNO}_3 \rightarrow 3\text{Fe}(\text{NO}_3)_3 + 2\text{NO} + 4\text{H}_2\text{O}
\]

### 40.
\[
\text{Al} + \text{HNO}_3 \rightarrow \text{Al}(\text{NO}_3)_3 + \text{N}_2 + \text{H}_2\text{O}
\]
\[
\text{2Al} + 6\text{HNO}_3 \rightarrow 2\text{Al}(\text{NO}_3)_3 + 3\text{N}_2 + 3\text{H}_2\text{O}
\]

### 41.
\[
\text{Al} + \text{HNO}_3 \rightarrow \text{Al}(\text{NO}_3)_3 + \text{NH}_4\text{NO}_3 + \text{H}_2\text{O}
\]
\[
\text{2Al} + 8\text{HNO}_3 \rightarrow 2\text{Al}(\text{NO}_3)_3 + \text{NH}_4\text{NO}_3 + 3\text{H}_2\text{O}
\]

Nếu bạn cần thêm thông tin hay có yêu cầu nào khác, hãy cho tôi biết!