QuestionCalculate the average volume of pollutants from three plants: 0.658 L, 0.512 L, and 34.47 L. Use significant digits.

Studdy Solution

STEP 1

Assumptions1. The volume of pollutant produced by each plant is given. The average volume is the sum of all volumes divided by the number of plants3. The number of significant digits in the average volume should be the same as the least number of significant digits in the given volumes

STEP 2

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

STEP 3

Now, plug in the given values for the volumes to calculate the total volume.
$Total\, volume =0.658\, L +0.512\, L +34.47\, L$

STEP 4

Calculate the total volume.
$Total\, volume =0.658\, L +0.512\, L +34.47\, L =35.64\, L$

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.
$Average\, volume =35.64\, L /3$

STEP 7

Calculate the average volume.
$Average\, volume =35.64\, L /3 =11.88\, L$

STEP 8

The number of significant digits in the average volume should be the same as the least number of significant digits in the given volumes. The volume from South Fork,0.512 L, has three significant digits. Therefore, the average volume should also have three significant digits.
$Average\, volume =11.\, L$ The chemical engineer should report an average volume of11. L.

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