Yes, you are correct that if the fork were made of pure silver the volume should have been 17.67 mL. I wouldn't have done it that way. I would have calculated the density and compared it with 10.5 g/mL for pure Ag.
density = mass/volume = 80.56/5.90 = 13.65 g/mL which isn't 10.5 g/mL. I should point out that pure silver is almost NEVER used. It is too soft and it usually is alloyed with another metal. I looked in a table of densities and found Au and Am having a density in the 13.5 range. I don't know what the fork is but it isn't pure silver.
You would like to determine if a set of antique silverware
is pure silver. The mass of a small fork was measured on a
balance and found to be 80.56 g. The volume was found by
dropping the fork into a graduated cylinder initially containing 10.0 mL of water. The volume after the fork was added
was 15.90 mL. Calculate the density of the fork. If the density of pure silver at the same temperature is 10.5 g/cm3, is the fork pure silver?
The answer I got was that the fork is not pure silver, because if it was the water would rise to 17.67 ml. Am I correct?
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