According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by determining how much water it displaced. The density of gold is 19.3 g/cm^3. If the crown's mass was 6.00 * 10^2g, what volume of water would have been displaced if the crown was indeed made of pure gold?
what formula and info do i need to use to solve this?
Volume = Mass/Density
thanks:D
To solve this problem, you need to use the formula for density:
Density = Mass / Volume
Since you are given the mass of the crown (6.00 * 10^2 g) and the density of gold (19.3 g/cm^3), you can rearrange the formula to solve for volume:
Volume = Mass / Density
Now we can substitute the given values into the formula to find the volume of water displaced by the crown if it is made of pure gold.
To solve this problem, you will need to use the formula for density:
Density = Mass / Volume
You already have the density of gold, which is 19.3 g/cm^3. The mass of the crown is given as 6.00 * 10^2 g. You need to find the volume of water displaced by the crown if it is made of pure gold.
To solve for volume, rearrange the formula:
Volume = Mass / Density
Substitute the given values into the formula:
Volume = (6.00 * 10^2 g) / (19.3 g/cm^3)
Now, calculate the volume using these values.
First, convert the mass of the crown from grams to cubic centimeters (cm^3), since the density is given in g/cm^3. Since 1 gram of water has a volume of 1 cm^3, the mass in grams and the volume in cm^3 will be equal.
Volume = (6.00 * 10^2 cm^3) / (19.3 g/cm^3)
Therefore, if the crown is made of pure gold, it would displace approximately 31.1 cm^3 of water.