A copper bracelet is placed in a graduated cylinder full of water. The water level rises from 15.6 ml to 28.0ml. The mass of the bracelet is 101.7g. Is the bracelet made of pure copper? How would I know? How would I explain?
volume = mass/density
the volume of this thing =28.0-15.6
= 12.4 mL
so the density = 101.7 g/12.4 mL
= 8.2 g/mL
Is that the density of copper ?
To determine whether the copper bracelet is made of pure copper, you can use Archimedes' principle. Archimedes' principle states that the buoyant force experienced by an object submerged in a fluid is equal to the weight of the fluid it displaces.
To apply this principle, follow these steps:
1. Calculate the initial volume of the copper bracelet by subtracting the final volume from the initial volume. In this case, the initial volume is 28.0 ml - 15.6 ml = 12.4 ml.
2. Convert the volume to cubic centimeters (cc) since the density of water is commonly measured in g/cc. Since 1 ml is equivalent to 1 cc, the initial volume of the bracelet is 12.4 cc.
3. Calculate the initial mass of the water displaced by the bracelet using the density of water, which is approximately 1 g/cc. So, the initial mass of the water displaced is equal to 12.4 g (12.4 cc x 1 g/cc).
4. Next, calculate the density of the copper bracelet. Density is defined as mass divided by volume. Divide the mass of the bracelet (101.7 g) by its initial volume (12.4 cc). The calculated density should provide insight into the material properties.
5. Compare the calculated density of the bracelet to the known density of pure copper, which is approximately 8.96 g/cc. If the calculated density is close to 8.96 g/cc, it indicates that the bracelet is made of pure copper. However, if the calculated density significantly deviates from 8.96 g/cc, it suggests that the bracelet is not made of pure copper.
By following these steps and comparing the calculated density with the known density of pure copper, you can determine whether the bracelet is made of pure copper or not.