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You weigh three samples of the same metal, and find their masses to be 35.71 g, 39.04 g, and 40.81 g. the corresponding volumes are 3.9 ml, 4.5 ml, and 4.5 ml. what is the density, d, of the metal?

Respuesta :

haneylia
Mass/Volume = Density

1. 35.71 g/3.9 mL = 9.156410256 g/mL

2. 39.04 g/4.5 mL = 8.675555556 g/mL

3. 40.81 g/4.5 mL = 9.068888889 g/mL

Average the densities

(9.156410256 g/mL + 8.675555556 g/mL + 9.068888889 g/mL) / 3 = 8.966951567 g/mL = 9.0 g/mL

Answer: The density of metal is 8.97 g/mL

Explanation:

Density of a substance is defined as the ratio of its mass and volume. The chemical equation representing density of a substance is:  

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

  • For sample 1:

Mass of sample 1 = 35.71 g

Volume of sample 1 = 3.9 mL

Putting values in equation 1, we get:

[tex]\text{Density of sample 1}=\frac{35.71g}{3.9mL}=9.16g/mL[/tex]

Density of sample 1 = 9.16 g/mL

  • For sample 2:

Mass of sample 2 = 39.04 g

Volume of sample 2 = 4.5 mL

Putting values in equation 1, we get:

[tex]\text{Density of sample 2}=\frac{39.04g}{4.5mL}=8.68g/mL[/tex]

Density of sample 2 = 8.68 g/mL

  • For sample 3:

Mass of sample 3 = 40.81 g

Volume of sample 3 = 4.5 mL

Putting values in equation 1, we get:

[tex]\text{Density of sample 3}=\frac{40.81g}{4.5mL}=9.07g/mL[/tex]

Density of sample 3 = 9.07 g/mL

  • To calculate the density of metal, we take the average of the densities:

[tex]\text{Average density of metal}=\frac{\text{Density of sample 1 + Density of sample 2 + Density of sample 3}}{3}[/tex]

Putting values in above equation, we get:

[tex]\text{Average density of metal}=\frac{9.16+8.68+9.07}{3}\\\\\text{Average density of metal}=8.97g/mL[/tex]

Hence, the density of metal is 8.97 g/mL

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