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A chemist conducted a set of four experiments to determine the density of magnesium metal, obtaining the following results: 1.68 g/cm\(^3\), 1.67 g/cm\(^3\), 1.69 g/cm\(^3\), and 1.69 g/cm\(^3\). The accepted value for the density of magnesium is 1.74 g/cm\(^3\). What can you conclude about the precision and accuracy of the chemist's measurements?

Answer :

Final answer:

The chemist's experiments demonstrate high precision but low accuracy, as the measured densities of magnesium metal closely match each other but not the accepted value.

Explanation:

In the field of chemistry, the term precision refers to the reproducibility of results from repeated measurements, whereas accuracy relates to the closeness of a measurement to the accepted or true value. Looking at the data from the experiments, the chemist has a high level of precision, given that the values of magnesium metal's density are close to each other (1.68 g/cm3, 1.67 g/cm3, 1.69 g/cm3, 1.69 g/cm3). However, despite the precision, the results aren't accurate since they do not closely match the accepted value of 1.74 g/cm3.

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