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You weigh three samples of the same metal, and find their masses to be 39.87 g, 30.84 g, and 38.46 g. the corresponding volumes are 4.3 ml, 3.5 ml, and 4.2 ml. what is the density, d, of the metal?

Respuesta :

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Density = mass/volume so we get

39.87g/4.3ml = 9.27g/ml
30.84g/3.5ml = 8.81g/ml
38.46g/4.2ml = 9.16g/ml

So adding all mass totals and ml totals and dividing them we get overall density of material

density= mass/volume

Density = 109.17g/11ml = 9.92g/ml density

Hope this helps you! Thank you!!

Answer: The density of metal is 9.28 g/mL

Explanation:

Density of a substance is defined as the ratio of its mass and volume. To calculate the density, we use the equation:

[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]     .......(1)

  • For Sample 1:

Mass of sample 1 = 39.87 g

Volume of sample 1 = 4.3 mL

Putting values in equation 1, we get:

[tex]d_1=\frac{39.87g}{4.3mL}=9.87g/mL[/tex]

Density of sample 1, [tex]d_1[/tex] = 9.87 g/mL

  • For Sample 2:

Mass of sample 2 = 30.84 g

Volume of sample 2 = 3.5 mL

Putting values in equation 1, we get:

[tex]d_2=\frac{30.84g}{3.5mL}=8.81g/mL[/tex]

Density of sample 2, [tex]d_2[/tex] = 8.81 g/mL

  • For Sample 3:

Mass of sample 3 = 38.46 g

Volume of sample 3 = 4.2 mL

Putting values in equation 1, we get:

[tex]d_3=\frac{38.46g}{4.2mL}=9.16g/mL[/tex]

Density of sample 3, [tex]d_3[/tex] = 9.16 g/mL

To calculate the density of metal, we take the average of the densities by using the equation:

[tex]\text{Density of metal}=\frac{d_1+d_2+d_3}{3}\\\\\text{Density of metal}=\frac{9.87+8.81+9.16}{3}=9.28g/mL[/tex]

Hence, the density of metal is 9.28 g/mL

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