Math

QuestionCalculate the average volume of pollutant from the plants: Susquehanna (9.208 L), Cross Creek (49.9 L), South Fork (7.68 L).

Studdy Solution

STEP 1

Assumptions1. The volume of pollutant produced by Susquehanna plant is9.208 L. The volume of pollutant produced by Cross Creek plant is49.9 L3. The volume of pollutant produced by South Fork plant is7.68 L4. The average volume is calculated as the sum of the volumes divided by the number of plants.
5. The number of significant digits in the average volume should be the same as the number of significant digits in the measurement with the least number of significant digits.

STEP 2

First, we need to find the total volume of pollutant produced by all plants. We can do this by adding the volumes produced by each plant.
Totalvolume=VolumeSusquehanna+VolumeCrossCreek+VolumeSouthForkTotal\, volume = Volume_{Susquehanna} + Volume_{Cross Creek} + Volume_{South Fork}

STEP 3

Now, plug in the given values for the volumes produced by each plant to calculate the total volume.
Totalvolume=9.208L+49.9L+7.68LTotal\, volume =9.208\, L +49.9\, L +7.68\, L

STEP 4

Calculate the total volume of pollutant produced by all plants.
Totalvolume=9.208L+49.9L+7.68L=66.788LTotal\, volume =9.208\, L +49.9\, L +7.68\, L =66.788\, 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 (3).
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=66.788L/3Average\, volume =66.788\, L /3

STEP 7

Calculate the average volume of pollutant produced by all plants.
Averagevolume=66.788L/3=22.26266667LAverage\, volume =66.788\, L /3 =22.26266667\, L

STEP 8

Now, we need to round the average volume to the correct number of significant digits. The measurement with the least number of significant digits is49. L, which has three significant digits. Therefore, the average volume should also have three significant digits.
Averagevolume=22.3LAverage\, volume =22.3\, LThe chemical engineer should report an average volume of22.3 L.

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