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Math Asked by a SnapAndSolve user · about 2 hours ago

A block of aluminum has a volume of 15.0 mL and a mass of 40.5 g. What is its density?

1) A block of aluminum has a volume of 15.0 mL and a mass of 40.5 g. What is its density?
2) Mercury metal is poured into a graduated cylinder and has a volume 22.5 mL. The mercury used to fill the cylinder has a mass of 306.0 g, what is the density of mercury.
3) What is the mass of the ethyl alcohol that has a volume of 200.0 mL? The density of ethyl alcohol is 0.789 g/mL.
4) A rectangular block of copper metal has a mass of 1896 g. The dimensions of the block are 8.4 cm by 5.5 cm by 4.6 cm, what is the density of copper? (Hint: Volume = Length * Height * Width)

Answer

  1. The density of aluminum is calculated using the formula: Density = Mass / Volume. Thus, Density = 40.5 g / 15.0 mL = 2.7 g/mL.

  2. The density of mercury is calculated using the formula: Density = Mass / Volume. Thus, Density = 306.0 g / 22.5 mL = 13.6 g/mL.

  3. The mass of ethyl alcohol is calculated using the formula: Mass = Density * Volume. Thus, Mass = 0.789 g/mL * 200.0 mL = 157.8 g.

  4. The volume of the copper block is calculated using the formula: Volume = Length * Height * Width. Thus, Volume = 8.4 cm * 5.5 cm * 4.6 cm = 212.52 cm³. The density of copper is then calculated using the formula: Density = Mass / Volume. Thus, Density = 1896 g / 212.52 cm³ = 8.9 g/cm³ (rounded to 1 decimal).

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