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A graduated cylinder has a mass of 50 g when empty. When 30 mL of water is added, the graduated cylinder...

A graduated cylinder has a mass of 50 g when empty. When 30 mL of water is added, the graduated cylinder has a mass of 120 g. If a rock is added to the graduated cylinder, the water level rises to 75 mL and the total mass is now 250 g. What is the density of the rock?

Answer

The mass of the water is 120 g - 50 g = 70 g. Since the density of water is 1 g/mL, the volume of the water is 70 mL. However, the problem states that 30 mL of water is added, so there seems to be an inconsistency. Assuming the 30 mL is correct, the mass of the rock can be calculated as follows:

  1. Mass of rock = Total mass - Mass of cylinder and water = 250 g - 120 g = 130 g.
  2. Volume of rock = Final water level - Initial water level = 75 mL - 30 mL = 45 mL.
  3. Density of rock = Mass of rock / Volume of rock = 130 g / 45 mL ≈ 2.89 g/mL.

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