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MMLU-Pro / 3869 / Hard" water contains small amounts of the salts calcium bicarbonate…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

"Hard" water contains small amounts of the salts calcium bicarbonate (Ca(HCO_3)_2) and calcium sulfate (CaSO_4, molecular weight = 136 g/mole). These react with soap before it has a chance to lather, which is responsible for its cleansing ability. Ca(HCO_3)_2 is removed by boiling to form insoluble CaCO_3. CaSO_4, is removed by reaction with washing soda (Na_2 CO_3, molecular weight = 106 g/mole) according to the following equation: CaSO_4 + Na_2 CO_3 \rightarrow CaCO_3 + Na_2 SO_4. If the rivers surrounding New York City have a CaSO_4 concentration of 1.8 × 10^-3 g/liter, how much Na_2 CO_3 is required to "soften" (remove CaSO_4) the water consumed by the city in one day (about 6.8 × 10^9 liters)?

category

chemistry

options

  1. 8 tons
  2. 35 tons
  3. 25 tons
  4. 12 tons
  5. 50 tons
  6. 30 tons
  7. 15 tons
  8. 20 tons
  9. 5 tons
  10. 10 tons

src

stemez-Chemistry

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Source and history

upstream_id / Original problem ID
3869
task_id
c687ce15-eb12-5bc4-83b9-6b5f61e7b928
task_key
default--test--3869
task_revision_id
1
config / split
default / test

Official source

initial import