A bar of gold with a mass of 2060.5 g has the following dimensions: 7.30 cm by 3.25 cm by 4.50 cm. Use this information to calculate the density of gold in g/mL. (Note: 1 cm3 = 1 mL)

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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A bar of gold with a mass of 2060.5 g has the following dimensions: 7.30 cm by 3.25 cm by 4.50 cm. Use this information to calculate the density of gold in g/mL. (Note: 1 cm3 = 1 mL)

ans: 19.299g/ml

To determine the density of sand, you put a graduated cylinder on an electronic scale and zero it. Then, you pour 7.50 mL of sand into the graduated cylinder. The scale reads 9.800 g. What is the density of the sand?

1.307g/ml

 Assume the volume of the statue in the movie is 1.000 L. Use the density of gold to calculate the mass (in kg) of the statue.

19.299kg

 

In the movie Raiders of the Lost Ark (1981), Indiana Jones replaces the golden statue with a bag of sand. Dr. Jones had to do some quick mental calculations to avoid springing a trap. As you complete this activity (using dimensional analysis and showing all work) you will decide if what you saw paralleled reality. Watch the scene on YouTube, at https://www.youtube.com/watch?v=0gU35Tgtlmg

 

1. Convert the mass of the statue into pounds. (1 kg = 2.205 lb)

2. Note how Indiana Jones picks up and holds the statue from the pedestal. Do you believe that the statue actually weighed as much as you just calculated in the previous question? Why or why not?

3.Indiana Jones was trying to replace the statue with a bag of sand that had an equal mass. What should be the volume of the bag of sand (in mL) if it is the same mass as the statue?

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