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A cylinder of metal with a mass of 23.6546 g is submerged in a graduated cylinder containing 25.20 mL of water. The water level rises to 29.90 mL. Which of the following densities is recorded to the correct number of significant digits?

a. 5.0 g/mL
b. 5.03 g/mL
c. 5.032 g/mL
d. 5.033 g/mL
e. 5.0329 g/mL

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Answer:

e. 5.0329 g/mL

Step-by-step explanation:

Density is defined as mass divided by volume of an object. The volume displaced is:

[tex]v=29.90mL-25.20mL\\=4.7mL[/tex]

#Density is then calculated as:

[tex]d=\frac{23.6546g}{4.7mL}\\\\=5.0329g/mL[/tex]

#Correct significant figures should correspond to the highest given in the question.

Hence the density of the metal is 5.0329g/mL

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