A 144.7 g piece of metal has a density of 7.57 g/mL. A 100 mL graduated cylinder contains 25.9 mL of water. What is the final volume after the metal is added to the graduated cylinder?

Respuesta :

Answer:

[tex]V_F=45.0mL[/tex]

Explanation:

Hello,

In this case, we firstly must compute the volume of the piece of metal by using its density as shown below:

[tex]\rho =\frac{m}{V}\\V=\frac{m}{\rho}=\frac{144.7g}{7.57g/mL}=19.11mL[/tex]

Then, by adding the initial volume of water and the volume of the metal, one obtains the final volume:

[tex]V_F=25.9mL + 19.1mL\\V_F=45.0mL[/tex]

Best regards.

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