The nugget of gold has a volume of 2.6 cm3, and the nugget of pyrite has a volume of 10 cm3.
Density = Mass/Volume = 57.2g/11 cm3 = 5.2 gcm-3
The answer depends on what characteristic of the gold nugget you wish to measure: its mass, weight, volume, density, temperature, electrical conductivity, etc.
density = mass/volume mass = density x volume volume = mass/density
d=m/v density= mass/ volume
density equals mass/volume, volume equals mass/density, and mass equals density times volume.
With the information given, the density of your nugget is about 19.29 g/cc. The density of gold is given as about 19.3 g/cc, so your nugget fits the density requirements for it to be a gold nugget.
Iron pyrite (FeS2) has a density of 4.8 to 5.0 grams per cm3. A piece of volume 40 cm3 would, therefore have a mass of volume*density = 192 to 200 grams.
Density = Mass/Volume = 57.2g/11 cm3 = 5.2 gcm-3
Pyrite has a density of 4.8-5g/cm3 mass = density x volume = (4.8-5)g/cm3 x 10 cm3 = 48 to 50 grams.
Assuming the gold nugget is solid and pure (unlikely in real life!) The volume of the nugget is 77.0 - 50.0 mL = 27.0 mL So density = mass/volume = 521/27.0 = 19.3 g per mL.
The answer depends on what characteristic of the gold nugget you wish to measure: its mass, weight, volume, density, temperature, electrical conductivity, etc.
You can make a fairly good guess. What the first part of the experiment is designed to do is find the volume of the irregularly shaped nugget. Archimedes is the first to be recorded as offering this solution to finding the volume of an irregularly shaped object. By submerging the object in water, the experimenter can determine the volume of water the object displaces. By knowing the weight of the nugget and the volume of the nugget, and by comparing that to the known density of gold, you can make a fairly good guess as to whether or not it is gold. Let's look. Your nugget displaced 1.26 ml of water. That's 1.26 cubic centimeters of water. The nugget weighs 24.3 grams. Your nugget weighs 24.3 grams per 1.26 cubic centimeters. Divide this out to find the weight per 1 cubic centimeter: 24.3 grams / 1.26 cc = 19.29 grams per cubic centimeter. The density of gold, its weight per unit of volume, can be looked up with ease. As the known density of your nugget is about 19.3 grams per cubic centimeter, which is the known density of gold, there is a strong case for your nugget to be gold.
Compare its weight to the weight of an equal volume of water. The weight of the specimen divided by the weight of the water equals the density of the specimen.
Submerge it in water and determine the volume (in cubic centimeters) that it displaces. That will be the volume of the nugget.
The larger piece will probably have more mass than the smaller one. But if the wood is of the same type and "all things are equal" as regards moisture content, sap content, etc., the density of both pieces of wood will be the same. Density does not depend on the size of a sample. Density is mass per unit of volume. If a large gold nugget and a small gold nugget are compared, the larger nugget will have more mass, but both nuggets will have the same density.
Mass = Density x Volume Density = Mass/Volume Volume = Mass/Density
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