In a city, the chemical formula of biodegradable fraction of municipal solid waste (MSW) is \( C_{100}H_{250}O_{80}N \). The waste has to be treated by forced-aeration composting process for which air requirement has to be estimated.
Assume oxygen in air (by weight) = 23%, and density of air = 1.3 kg/m$^3$. Atomic mass: \( C = 12 \), \( H = 1 \), \( O = 16 \), \( N = 14 \).
C and H are oxidized completely whereas N is converted only into NH$_3$ during oxidation.
For oxidative degradation of 1 tonne of the waste, the required theoretical volume of air (in m$^3$/tonne) will be (round off to the nearest integer)