Determining the density of solid objects with unusual shapes is challenging because it is difficult to determine their volume. We can get around this difficulty by determining the volume of a solid indirectly by measuring the volume of liquid that it displaces when it is submerged. a. A jeweler wants to determine the identity of a metal band brought in by a customer, who reports that the band is either iron, titanium or tungsten. Recognizing that a simple density check should distinguish between these three metals, the jeweler first adds some water to a graduated container, and measures the volume of the water to be 6.54 mL and the mass of the container with the water to be 28.732 g. After adding the ring to the container, the level of the water has risen to 7.28 mL, while the new mass is 32.232 g. What metal is the ring made of? Show how you arrived at your answer to receive credit. (You may use the any available resources to determine the densities of the three metals.) b. Satisfied with the jeweler’s method, the customer next takes out a large and rigid bracelet, adds it to the measuring container and records the new mass and the volume level of the liquid, planning to use the same method to determine what it is made of. Unfortunately, the customer failed to notice that the bracelet was much larger than the ring, and was not fully submerged, but was partially protruding above the surface of the water. Do you believe that the density the customer calculated was higher or lower than the actual density of the bracelet? Explain how you came to your conclusion

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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3) Determining the density of solid objects with unusual shapes is challenging because it is difficult to determine their volume. We can get around this difficulty by determining the volume of a solid indirectly by measuring the volume of liquid that it displaces when it is submerged.

a. A jeweler wants to determine the identity of a metal band brought in by a customer, who reports that the band is either iron, titanium or tungsten. Recognizing that a simple density check should distinguish between these three metals, the jeweler first adds some water to a graduated container, and measures the volume of the water to be 6.54 mL and the mass of the container with the water to be 28.732 g. After adding the ring to the container, the level of the water has risen to 7.28 mL, while the new mass is 32.232 g. What metal is the ring made of? Show how you arrived at your answer to receive credit. (You may use the any available resources to determine the densities of the three metals.)

b. Satisfied with the jeweler’s method, the customer next takes out a large and rigid bracelet, adds it to the measuring container and records the new mass and the volume level of the liquid, planning to use the same method to determine what it is made of. Unfortunately, the customer failed to notice that the bracelet was much larger than the ring, and was not fully submerged, but was partially protruding above the surface of the water. Do you believe that the density the customer calculated was higher or lower than the actual density of the bracelet? Explain how you came to your conclusion.

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