Questions: What average volume should the chemical engineer report? Be sure your answer has the correct number of significant digits.

What average volume should the chemical engineer report? Be sure your answer has the correct number of significant digits.
Transcript text: What average volume should the chemical engineer report? Be sure your answer has the correct number of significant digits.
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Solution

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Solution Steps

Step 1: Identify the volumes to be averaged

We are given the volumes of pollutants from three different plants:

  • Cross Creek: 100.1 L
  • Allegheny: 56.3 L
  • Susquehanna: 31.6 L
Step 2: Calculate the sum of the volumes

Add the volumes together: \[ 100.1 + 56.3 + 31.6 = 188.0 \text{ L} \]

Step 3: Calculate the average volume

Divide the total volume by the number of plants (3): \[ \text{Average volume} = \frac{188.0}{3} = 62.6667 \text{ L} \]

Step 4: Round to the correct number of significant digits

The volumes provided have 4, 3, and 3 significant digits respectively. The average should be reported with the least number of significant digits, which is 3.

Thus, the average volume should be rounded to 62.7 L.

Final Answer

\[ \boxed{62.7 \text{ L}} \]

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