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Organic fraction of municipal solid waste (OFMSW) with bulk density of 315 kg/m³ and water content of 30% is mixed with municipal sludge of bulk density 700 kg/m³ and water content of 70%, such that the water content of the mixture is 40%. 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 kg/m³) (rounded off to the nearest integer) are calculated. Which of the following options is/are true:

1. 0.33 kg of sludge added per kg of OFMSW
2. Density of the mixture is 365 kg/m³
3. 0.66 kg of sludge added per kg of OFMSW
4. Density of the mixture is 450 kg/m³

Correct answer: 0.33 kg of sludge added per kg of OFMSW

Solution

The correct option is accurate because the calculations for the mixture's water content and the proportions of OFMSW and sludge lead to the conclusion that 0.33 kg of sludge is needed for every kg of OFMSW to achieve the desired water content of 40%.

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