contestada

Which of the following liquids has the greatest density?

A. 5.5 cm3 with a mass of 10 g
B. 19 cm3 with a mass of 23 g
C. 59 cm3 with a mass of 45 g
D. 0.031 cm3 with a mass of 0.10 g
E. 195 cm3 with a mass of 12 g

Respuesta :

Answer:

0.031 cm³with a mass of 0.10 g, density [tex]\rho=3.22\ g/cm^3[/tex]

Explanation:

In this case, we need to find the liquids that have the greatest density. The density of a liquid is given by the mass lowing per unit volume. It is given by :

[tex]\rho=\dfrac{m}{V}[/tex]

(A) 5.5 cm³ with a mass of 10 g

Density,

[tex]\rho_=\dfrac{10\ g}{5.5\ cm^3}[/tex]

[tex]\rho=1.82\ g/cm^3[/tex]

(B) 19 cm³ with a mass of 23 g

Density,

[tex]\rho_=\dfrac{23\ g}{19\ cm^3}[/tex]

[tex]\rho=1.21\ g/cm^3[/tex]

(C) 59 cm³ with a mass of 45 g

Density,

[tex]\rho_=\dfrac{45\ g}{59\ cm^3}[/tex]

[tex]\rho=0.76\ g/cm^3[/tex]

(D) 0.031 cm³with a mass of 0.10 g

Density,

[tex]\rho=\dfrac{0.1\ g}{0.031\ cm^3}[/tex]

[tex]\rho=3.22\ g/cm^3[/tex]

(E) 195 cm³ with a mass of 12 g

Density,

[tex]\rho=\dfrac{12\ g}{195\ cm^3}[/tex]

[tex]\rho=0.061\ g/cm^3[/tex]

So, option (D) have greatest density i.e. [tex]\rho=3.22\ g/cm^3[/tex]. Hence, this is the required solution.