Key Concept: Haber's Process, Ostwald's Process
c) 448 m$^3$
[Solution Description]
First, calculate moles of N$_2$ used: At STP, 1 mole = 22.4 L. So 112,000 L / 22.4 L/mol = 5000 moles N$_2$. In Haber's process, N$_2$ + 3H$_2$ → 2NH$_3$, so 5000 moles N$_2$ produces 10,000 moles NH$_3$. In Ostwald's process: 4NH$_3$ + 5O$_2$ → 4NO + 6H$_2$O. Then 2NO + O$_2$ → 2NO$_2$, and 4NO$_2$ + O$_2$ + 2H$_2$O → 4HNO$_3$. Total O$_2$ required: For first step (10,000 moles NH$_3$ needs 12,500 moles O$_2$), second step (10,000 moles NO needs 5,000 moles O$_2$), third step (10,000 moles NO$_2$ needs 2,500 moles O$_2$). Total = 20,000 moles O$_2$. Volume at STP = 20,000 × 22.4 = 448,000 L = 448 m$^3$.
Your Answer is correct.
c) 448 m$^3$
[Solution Description]
First, calculate moles of N$_2$ used: At STP, 1 mole = 22.4 L. So 112,000 L / 22.4 L/mol = 5000 moles N$_2$. In Haber's process, N$_2$ + 3H$_2$ → 2NH$_3$, so 5000 moles N$_2$ produces 10,000 moles NH$_3$. In Ostwald's process: 4NH$_3$ + 5O$_2$ → 4NO + 6H$_2$O. Then 2NO + O$_2$ → 2NO$_2$, and 4NO$_2$ + O$_2$ + 2H$_2$O → 4HNO$_3$. Total O$_2$ required: For first step (10,000 moles NH$_3$ needs 12,500 moles O$_2$), second step (10,000 moles NO needs 5,000 moles O$_2$), third step (10,000 moles NO$_2$ needs 2,500 moles O$_2$). Total = 20,000 moles O$_2$. Volume at STP = 20,000 × 22.4 = 448,000 L = 448 m$^3$.