Math

QuestionCalculate the average volume of pollutants from three plants: New Bedford (6.215 L), Allegheny (5.4 L), Fall River (30.2 L).

Studdy Solution

STEP 1

Assumptions1. The volume of pollutant produced by the New Bedford plant is6.215 L. The volume of pollutant produced by the Allegheny plant is5.4 L3. The volume of pollutant produced by the Fall River plant is30. L4. The average volume is calculated as the sum of the volumes divided by the number of plants5. The average volume should be reported with the correct number of significant digits

STEP 2

First, we need to find the total volume of pollutant produced by the three plants. We can do this by adding the volumes produced by each plant.
Totalvolume=VolumeNewBedford+VolumeAllegheny+VolumeFallRiverTotal\, volume = Volume_{New\, Bedford} + Volume_{Allegheny} + Volume_{Fall\, River}

STEP 3

Now, plug in the given values for the volumes produced by each plant to calculate the total volume.
Totalvolume=6.215L+5.L+30.2LTotal\, volume =6.215\, L +5.\, L +30.2\, L

STEP 4

Calculate the total volume of pollutant produced.
Totalvolume=6.215L+.4L+30.2L=41.815LTotal\, volume =6.215\, L +.4\, L +30.2\, L =41.815\, L

STEP 5

Now that we have the total volume of pollutant produced, we can find the average volume by dividing the total volume by the number of plants.
Averagevolume=Totalvolume/NumberofplantsAverage\, volume = Total\, volume / Number\, of\, plants

STEP 6

Plug in the values for the total volume and the number of plants to calculate the average volume.
Averagevolume=41.815L/3Average\, volume =41.815\, L /3

STEP 7

Calculate the average volume of pollutant produced.
Averagevolume=41.815L/3=13.9383333333LAverage\, volume =41.815\, L /3 =13.9383333333\, L

STEP 8

The average volume calculated in the previous step has too many decimal places. We need to round it to the correct number of significant digits. The smallest number of significant digits in the original data is2 (in the volume from the Allegheny plant), so we should round our answer to2 significant digits.
Averagevolume=14LAverage\, volume =14\, LThe chemical engineer should report an average volume of14 L.

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