a total of 6500 gallons of sludge are pumped to the digester each day. if the sludge is 3% solids, how many lbs/day of solids are pumped to the digester?

1266.3 lbs/day
1626.3 lbs/day
1636.2 lbs/day
1663.2 lbs/day

Question

a total of 6500 gallons of sludge are pumped to the digester each day. if the sludge is 3% solids, how many lbs/day of solids are pumped to the digester?

1266.3 lbs/day
1626.3 lbs/day
1636.2 lbs/day
1663.2 lbs/day

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Wastewater Solids Loading", "Unit Conversion" ], "new_concepts": [], "current_concepts": [ "Wastewater Solids Loading", "Unit Conversion", "Sludge Volume Calculation" ] } ## Convert sludge volume to daily mass $$ \begin{aligned} \text{Sludge Mass Flow Rate} &= 6500\text{ gal/day} \times 8.34\text{ lbs/gal} \ &= 54210\text{ lbs/day} \end{aligned} $$ ## Calculate dry solids mass flow rate $$ \begin{aligned} \text{Solids Mass Flow Rate} &= 54210\text{ lbs/day} \times 0.03 \ &= 1626.3\text{ lbs/day} \end{aligned} $$

(A) 1266.3 lbs/day

(B) 1626.3 lbs/day

(C) 1636.2 lbs/day

(D) 1663.2 lbs/day

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Environmental Science", "Wastewater Treatment Calculations" ] }

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QUESTION IMAGE

Question

Explanation:

Convert sludge volume to daily mass

Calculate dry solids mass flow rate

Answer: