Problem

61 point
Round the answer to the following calculation to the correct number of significant figures:
\[
75.9 \mathrm{~g} / 600.7 \mathrm{~L}=0.12635 \mathrm{~g} / \mathrm{L}
\]
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Answer

Final Answer: The rounded result of the calculation to the correct number of significant figures is \(\boxed{0.13} \mathrm{~g/L}\)

Steps

Step 1 :The question is asking to round the result of the division 75.9 g / 600.7 L to the correct number of significant figures. The number of significant figures in the result should be the same as the number in the measurement with the least number of significant figures. In this case, both 75.9 and 600.7 have three significant figures, so the result should also have three significant figures.

Step 2 :Perform the division: \(75.9 \mathrm{~g} / 600.7 \mathrm{~L}=0.12635 \mathrm{~g} / \mathrm{L}\)

Step 3 :Round the result to three significant figures: \(0.12635 \rightarrow 0.13\)

Step 4 :Final Answer: The rounded result of the calculation to the correct number of significant figures is \(\boxed{0.13} \mathrm{~g/L}\)

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