The GATE Grind

GATE 2024 ES – Question 62

Solid and Hazardous Waste Management · Municipal Solid Waste Management · 2 marks · Numerical answer

Find maximum theoretical methane in kg per ton of $C_{50}H_{100}O_{40}N$,assuming100% anaerobic conversion. Atomic weights:C12,H1,O16,N14. Report to two decimals.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 320.00 to 321.00

Explanation

Buswell stoichiometry, with nitrogen leaving as NH₃,gives methane moles $a/2+b/8-c/4-3d/8=25+12.5-10-.375=27.125$ per mole substrate. Its formula mass is $50(12)+100+40(16)+14=1354$ g/mol. Methane yield is $27.125(16)/1354$ kg/kg. Per1000 kg waste, this is **320.53 kg CH₄**. The nitrogen correction is needed to balance ammonia hydrogen.

More Municipal Solid Waste Management questions

All Municipal Solid Waste Management questions →