Math

QuestionCalculate the average volume of pollutant from these plants: Cross Creek (2.081 L), Pitt (0.20 L), Macon (0.911 L).

Studdy Solution

STEP 1

Assumptions1. The volume of pollutant produced by Cross Creek plant is.081 L. The volume of pollutant produced by Pitt plant is0.20 L3. The volume of pollutant produced by Macon plant is0.911 L4. The average volume is calculated as the sum of the volumes divided by the number of plants5. The number of significant digits in the answer should match the number of significant digits in the least precise measurement

STEP 2

First, we need to find the total volume of the pollutant produced by all the plants. We can do this by adding the volumes produced by each plant.
Totalvolume=VolumeCrossCreek+Volumeitt+VolumeMaconTotal\, volume = Volume_{Cross\, Creek} + Volume_{itt} + Volume_{Macon}

STEP 3

Now, plug in the given values for the volumes produced by each plant to calculate the total volume.
Totalvolume=2.081L+0.20L+0.911LTotal\, volume =2.081\, L +0.20\, L +0.911\, L

STEP 4

Calculate the total volume of the pollutant.
Totalvolume=2.081L+0.20L+0.911L=3.192LTotal\, volume =2.081\, L +0.20\, L +0.911\, L =3.192\, L

STEP 5

Now that we have the total volume of the pollutant, 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=3.192L/3Average\, volume =3.192\, L /3

STEP 7

Calculate the average volume.
Averagevolume=3.192L/3=1.064LAverage\, volume =3.192\, L /3 =1.064\, L

STEP 8

However, we need to ensure that our answer has the correct number of significant digits. The measurement with the least number of significant digits is0.20 L, which has two significant digits. Therefore, our final answer should also have two significant digits.
Averagevolume=1.1LAverage\, volume =1.1\, LThe average volume of pollutant that the chemical engineer should report is1.1 L.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord