Irdk. :)
The smaller pure gold ring will have a higher density than the larger one due to its smaller volume and higher mass. Density is a ratio of mass to volume, so as the volume decreases and the mass remains constant, the density increases.
Archimedes came across concept of density - that is MASS divided by VOLUME. For each substance this ratio is different but a CONSTANT for that substance. Thus the mass you are dealing with is irrelevant if the crown had the same ratio as the piece of pure gold then the crown was pure god, if it did not then the crown was not gold.
To determine if the ring is pure gold, we can calculate its density using the formula Density = Mass/Volume. The calculated density of the ring is approximately 16.9 g/ml, which is lower than the density of pure gold (19.3 g/ml). Therefore, the ring is not made of pure gold, as its density does not match the density of pure gold.
Gold has a specific gravity of 19.29, silver has a specific gravity of 10.46. Gold is heavier.
To determine if the crown is pure gold, calculate its density using the formula density = mass/volume. Substituting the values given, the crown's density should be 1800 g / 110 cm^3 = 16.36 g/cm^3. Since the density of gold is 19.3 g/cm^3, the crown is not made of pure gold as its density is lower than that of gold.
Pure gold is 24 karats. This means it is 99.9% pure gold.
The density of the shiny, gold-colored bar of metal is 12.19 grams over cubic centimeters. The density of a Gold(Au) is 19.3 grams over cubic centimeters. These means that the gold-colored bar of metal is not pure gold.
We need to calculate the volume of a metal from the density to be sure. Density of pure gold = 19.3  g·cm-3Density of pure lead = 11.34  g·cm-3The volume of 20 g of gold = mass/density = 20 [g] / 19.3  g·cm-3 = 1.036 cm3 The volume of 10 g of lead = mass/density = 10 [g] / 11.34  g·cm-3 = 0.882 cm3 Hence, the volume of 20 g of gold is slightly greater than that of 10 g of lead. =========================
A quick way would be to see how much water it would displace. That would give you its volume. Weigh the ring and divide that by the volume of water the ring displaces (because the ring displaces a volume of water equal to its own volume). Use or convert to grams and milliliters, which are equal to cubic centimeters (or cc's). By dividing the ring's weight (its mass) by its volume, and then getting the answer in grams per one cc, you can compare your results with the density of pure gold. The density of pure gold is about 19.8 grams per cc, and with that information, you can make an educated guess as to whether or not the ring is pure gold.
The volume of the gold can be calculated using the formula: Volume = Mass / Density. Substituting the given values, Volume = 318.97 g / 19.32 g/cm^3 = 16.52 cm^3. So, the gold would have a volume of 16.52 cm^3.
Pure gold is typically measured in karats, with 24 karats representing 100% pure gold. So, in pure gold, there are 24 karats.
karats is the amount of pure in gold