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Two stones resembling diamonds are suspected of being fakes. To determine if the stones might be real, the mass and volume of each are measured. Both stones have the same volume, 0.15 cm3. However, stone A has a mass of 0.52 g, and stone B has a mass of 0.42 g. If diamond has a density of 3.5 g/cm3, could either of the stones be real diamonds?

Respuesta :

Answer:

stone A is diamond.

Explanation:

given,

Volume of the two stone =  0.15 cm³

Mass of stone A = 0.52 g

Mass of stone B = 0.42 g

Density of the diamond =  3.5 g/cm³

So, to find which stone is gold we have to calculate the density of both the stone.

We know,

[tex]density[/tex][tex]\density = \dfrac{mass}{volume}[/tex]

density of stone A

[tex]\rho_A = \dfrac{0.52}{0.15}[/tex]

[tex]\rho_A = 3.467\ g/cm^3[/tex]

density of stone B.

[tex]\rho_B = \dfrac{0.42}{0.15}[/tex]

[tex]\rho_B = 2.8\ g/cm^3[/tex]

Hence, the density of the stone A is the equal to Diamond then stone A is diamond.

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