A municipal landfill in a lightly populated Florida county serves 253,000 people

Question

A municipal landfill in a lightly populated Florida county serves 253,000 people. Each week 85 trucks bring a total of 2,180 metric tons of municipal solid waste (MSW) to the landfill. Each truck averages two loads per day. Each truck has a capacity of 4.5 metric tons and they operate 5 days/week.
NOTE: 1 metric ton = 1,000kg

(a) How much MSW is generated per person? Answer in kg/(person-day).
(b) What is the average load (in metric tons) of each truck as it arrives at the landfill?
(c) Assume the answer to part (b) is 2.6 metric tons; at what percent capacity are the trucks operating? (d) If the density of the compacted waste is 265 kg/m3, what is the volume (in m3) of MSW disposed of at the landfill each week?

Explanation / Answer

a) MSW genrated per person = 2180000kg/253000 = 6.17 kg/person week(5 days ) = 1.7233 kg /person day

b) average load of a truck = 2180/85 *5*2 = 51294/2 kg=25647 kg ~ 2.565 tonnes

c) % capacity = 2.6 *100 /4.5 =57.778 %

d) volume disposed at landfill vry week = 2180000/265 = 8226.4151 m^3

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