QuestionA chemical engineer has pollutant volumes: Allegheny: 8.49 L, Pinecrest: 1.77 L, Lincoln: 6.38 L. Find the average volume.

Studdy Solution

STEP 1

Assumptions1. The volume of pollutant produced by each plant is given in liters (). . The volumes are Allegheny -8.49 L, Pinecrest -1.77 L, Lincoln -6.38 L.
3. The average volume is calculated by summing the volumes and dividing by the number of plants.
4. The number of significant digits in the answer should match the least number of significant digits in the given data.

STEP 2

First, we need to sum the volumes of pollutant produced by each plant.
$Total\, volume = Volume_{Allegheny} + Volume_{inecrest} + Volume_{Lincoln}$

STEP 3

Now, plug in the given values for the volumes of pollutant produced by each plant to calculate the total volume.
$Total\, volume =8.49\, L +1.77\, L +6.38\, L$

STEP 4

Calculate the total volume of pollutant produced.
$Total\, volume =8.49\, L +1.77\, L +6.38\, L =16.64\, L$

STEP 5

Now that we have the total volume, we can find the average volume by dividing the total volume by the number of plants.
$Average\, volume = Total\, volume / Number\, of\, plants$

STEP 6

Plug in the values for the total volume and the number of plants to calculate the average volume.
$Average\, volume =16.64\, L /3$

STEP 7

Calculate the average volume of pollutant produced.
$Average\, volume =16.64\, L /3 =5.54666667\, L$

STEP 8

The number of significant digits in the answer should match the least number of significant digits in the given data. The given data has at most three significant digits (in8.49 L and6.38 L), so we should round our answer to three significant digits.
$Average\, volume =5.55\, L$ The chemical engineer should report an average volume of5.55 L.

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