Math

QuestionFind the average volume of pollutant from the plants: New Bedford (0.285 L), Pitt (0.842 L), Doheny (0.75 L).

Studdy Solution

STEP 1

Assumptions1. The volume of pollutant produced by each plant is given in liters. . The average volume of pollutant is calculated as the sum of the volumes divided by the number of plants.
3. The number of significant digits in the answer should match the number of significant digits in the given data.

STEP 2

First, we need to find the total volume of pollutant produced by all the plants. We can do this by adding the volumes produced by each plant.
Totalvolume=VolumeNewBedford+Volumeitt+VolumeohenyTotal\, volume = Volume_{New\, Bedford} + Volume_{itt} + Volume_{oheny}

STEP 3

Now, plug in the given values for the volumes produced by each plant to calculate the total volume.
Totalvolume=0.285L+0.842L+0.75LTotal\, volume =0.285\, L +0.842\, L +0.75\, L

STEP 4

Calculate the total volume of pollutant produced by all the plants.
Totalvolume=0.285L+0.842L+0.75L=1.877LTotal\, volume =0.285\, L +0.842\, L +0.75\, L =1.877\, L

STEP 5

Now that we have the total volume, we can find the average volume of pollutant produced by the plants. This is done 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=1.877L/3Average\, volume =1.877\, L /3

STEP 7

Calculate the average volume of pollutant produced by the plants.
Averagevolume=1.877L/3=0.6256666667LAverage\, volume =1.877\, L /3 =0.6256666667\, L

STEP 8

The given data has three significant digits, so we should round our answer to three significant digits.Averagevolume=0.626LAverage\, volume =0.626\, LThe chemical engineer should report an average volume of0.626 L.

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