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Understanding Density: Calculating Mass of Gold and Sand from Volume

In this exercise, we explore the concept of density and its practical application in determining mass from volume for both gold and sand. Using the density of gold (19.3 g/mL) and sand (1.6 g/mL), we calculate the mass of a gold idol with a volume of 1500 mL, resulting in a mass of over 63 pounds, and the mass of the same volume of sand, which is about 5 pounds. We also determine how many bags of sand would equal the mass of the gold idol. This gives insight into the substantial difference in weight based on density.

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Understanding Density: Calculating Mass of Gold and Sand from Volume

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Presentation Transcript

  1. QOTD 9/25/13 http://www.youtube.com/watch?v=0gU35Tgtlmg

  2. Now time for the answers • Check your work as we go over these!

  3. 1. Gold has a density of 19.3 g/mL. The idol appears to have a volume of about 1500 mL. What is the mass? Show your work. • 19.3 g/mL x 1500 mL = 28950 g • That’s over 63 pounds! It sure looked light in the movie though. I don’t think Steven Spielberg knows much about density!

  4. 2. The density of sand is 1.6 g/mL. If the volume of sand is also 1500 mL, what is the mass of the sand? Show your work. • 1.6 g/mL x 1500 mL = 2400g • That’s about 5 pounds.

  5. 3. How many bags of sand would equal the mass of the gold idol? Show your work. • 28950 g x 1 sandbag/2400g = 12.0625 sandbags • Note: if we followed correct sig fig rules, you would round to 12 sandbags. (But we won’t be worrying about that in this class)

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