QuestionA chemical engineer needs to find the average pollutant volume from three plants: Lincoln (0.289 L), Susquehanna (7.27 L), and Fall River (45.9 L). What is the average volume with the correct significant digits?
Studdy Solution
STEP 1
Assumptions1. The volume of pollutant produced by the Lincoln plant is0.289 L. The volume of pollutant produced by the Susquehanna plant is7.27 L3. The volume of pollutant produced by the Fall River plant is45.9 L4. The average volume of pollutant is calculated by summing up the volumes produced by each plant and dividing by the total number of plants.
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.
STEP 3
Now, plug in the given values for the volumes produced by each plant to calculate the total volume.
STEP 4
Calculate the total volume of pollutant produced by all the plants.
STEP 5
Now that we have the total volume, we can find the average volume of pollutant produced by the plants. This is calculated by dividing the total volume by the number of plants.
STEP 6
There are3 plants, so plug in the values for the total volume and the number of plants to calculate the average volume.
STEP 7
Calculate the average volume of pollutant produced by the plants.
STEP 8
The problem asks for the answer to have the correct number of significant digits. The number with the least number of significant digits in the problem is45. L, which has three significant digits. Therefore, we should round our answer to three significant digits.
The chemical engineer should report an average volume of17.8 L.
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