contestada

An empty vial weighs 55.32 g.
(a) If the vial weighs 185.56 g when filled with liquid mercury (d = 13.53 g/cm³), what is its volume?

Respuesta :

The answer is: Volume of mercury = 9.63 [tex]cm^3[/tex].

Density (d) is defined as mass of substance divided by its volume. Thus, if mass and density are known, then Volume can be determined.

What is the formula of volume in terms of density?

  • Let mass of substance be 'm' and volume be 'V'. Thus, as per the definition of density, it is expressed as-

[tex]d =\frac{m}{V}[/tex]

  • Thus, volume can be expressed as-

[tex]V = \frac{m}{d}[/tex]

  • Now, mass of empty vial= 55.32 g and the mass of  (vial+ mercury) = 185.56 g.

Thus, mass of mercury =[tex]185.56\ g- 55.32\g = 130.24\ g[/tex]

  • Thus, mass of mercury = 130.24 g and density of mercury =[tex]13.53\ g/cm^3[/tex]. Its volume is calculated as-

[tex]V =\frac{130.24\ g}{13.53\ g/cm^3} = 9.63\ cm^3[/tex]

  • Hence, volume of mercury = 9.63 [tex]cm^3[/tex].

To learn more about Density and Volume, visit:

https://brainly.com/question/1028144

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