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A certain waste has a BOD5 of 170 mg/L and its flow is 2000 cubic meters per day. If the domestic sewage has a BOD of 80 grams/capita/day, then the population equivalent of the waste will be:
  • a)
    2000
  • b)
    4250
  • c)
    4500
  • d)
    5000
Correct answer is option 'B'. Can you explain this answer?
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A certain waste has a BOD5of 170 mg/L and its flow is 2000 cubic meter...
Population equivalent is given by:
Total BOD5
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A certain waste has a BOD5of 170 mg/L and its flow is 2000 cubic meter...
Calculation of population equivalent:

Given:
BOD5 of waste = 170 mg/L
Flow of waste = 2000 cubic meters per day
BOD of domestic sewage = 80 grams/capita/day

To determine the population equivalent of the waste, we need to find the number of individuals that would produce the same amount of BOD as the waste.

Step 1: Convert BOD5 of waste to grams:

Since the BOD5 value is given in milligrams per liter, we need to convert it to grams per liter.

1 gram = 1000 milligrams

BOD5 of waste = 170 mg/L = 170/1000 grams/L = 0.17 grams/L

Step 2: Calculate the BOD load of the waste:

BOD load = BOD5 of waste x Flow of waste

BOD load = 0.17 grams/L x 2000 cubic meters/day

Step 3: Convert BOD of domestic sewage to grams:

Since the BOD value is given in grams per capita per day, we do not need to convert it.

BOD of domestic sewage = 80 grams/capita/day

Step 4: Calculate the population equivalent:

Population equivalent = BOD load / BOD of domestic sewage

Population equivalent = (0.17 grams/L x 2000 cubic meters/day) / 80 grams/capita/day

Population equivalent = (0.17 grams/L x 2000 cubic meters/day) / (80 grams/capita/day)

Population equivalent = (0.17 x 2000) / 80

Population equivalent = 3.4 x 10^3 / 80

Population equivalent = 42.5

Therefore, the population equivalent of the waste is 4250.

Therefore, the correct answer is option 'B' (4250).
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A certain waste has a BOD5of 170 mg/L and its flow is 2000 cubic meters per day. If the domestic sewage has a BOD of 80 grams/capita/day, then the population equivalent of the waste will be:a)2000b)4250c)4500d)5000Correct answer is option 'B'. Can you explain this answer?
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