GATE CE 2025 Set 1 — Question 46
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Environmental Engineering → Municipal Solid Waste → Waste Characteristics
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Question
Organic fraction of municipal solid waste (OFMSW) with bulk density of and water content of is mixed with municipal sludge of bulk density and water content of , such that the water content of the mixture is . The amount (in kg) of sludge to be mixed per kg of OFMSW (rounded off to 2 decimal places) and the density of the mixture (in ) (rounded off to the nearest integer) are calculated. Which of the following options is/are true:
Correct answer
(A) 0.33 kg of sludge added per kg of OFMSW; (B) Density of the mixture is 365 kg/m³
Solution
Let be the mass of OFMSW and be the mass of sludge.
Water content of OFMSW,
Water content of sludge,
Water content of mixture, Using mass balance for water:
of sludge per kg of OFMSW. (Option A is true)Density of the mixture ():
Rounding to the nearest integer, . (Option B is true)
Water content of OFMSW,
Water content of sludge,
Water content of mixture, Using mass balance for water:
of sludge per kg of OFMSW. (Option A is true)Density of the mixture ():
Rounding to the nearest integer, . (Option B is true)
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