The owner of a necklace claims that it is made of pure gold (d=19.2 g/cm). The necklace has a mass of 19.21 g. When the necklace is placed in a graduated cylinder that initially contained 20.8 mL of water, the level rose to 22.0mL. (a)Find the density of the necklace. (b)is this necklace made of pure gold? Explain your answer.
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Given:
The density of gold = 19.2 gm/cm
The mass of necklace = 19.21 gm
The initial volume of water = 20.8 ml
The final volume of water = 22 ml
To Find:
(a) The density of necklace.
(b) If the necklace is made of pure gold.
Calculation:
(a) The volume of the necklace = 22 - 20.8 = 1.2 ml
- The density of necklace = Mass of necklace/Volume of necklace
⇒ The density of necklace = 19.21 / 1.2
⇒ The density of necklace = 16 gm/ml
(b) The necklace is not made up of pure gold.
- This is because the density of the necklace is different than that of pure gold.
- So, it means that the necklace contains some other substance also in addition to gold.
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