Waste $C_{60}H_{135}O_{50}N_5$ is composted aerobically. All ammonia escapes;air contains 23% oxygen by mass and actual air is 100% above stoichiometric. Atomic weights:C12,H1,O16,N14. Find actual kg air/kg waste, to one decimal.
Balance complete oxidation with nitrogen as ammonia: $$C_{60}H_{135}O_{50}N_5+65O_2\to60CO_2+60H_2O+5NH_3.$$ Waste formula mass is $720+135+800+70=1725$ g/mol, and required oxygen is $65(32)=2080$ g/mol. Theoretical air is $2080/(.23\cdot1725)$ kg/kg. With100% excess, multiply by 2 to obtain **10.5 kg air/kg waste**.
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