A crown is determine to weigh 2.65 kg. When this crown is submerged in a full basin of water, the overflow is found to be 145 mL. Is the crown pure gold or a gold-silver alloy? The density of silver is 10.5 g/mL and gold that of gold is 19.3 g/mL

mass crown - 2,650 grams.

volume crown = 145 mL
density = m/v = 2,650/145 = 18.3 g/mL. It isn't pure Au.

To determine whether the crown is pure gold or a gold-silver alloy, we need to first calculate its density. Density is defined as the mass divided by the volume.

Given information:
Mass of the crown = 2.65 kg
Volume of water overflow = 145 mL

First, let's calculate the mass of the crown in grams:

Mass of the crown = 2.65 kg * 1000 g/kg = 2650 g

Next, let's calculate the density of the crown:

Density = Mass / Volume = 2650 g / 145 mL

Since the density is given in grams per milliliter, we need to convert the volume from milliliters to grams by multiplying by the density of water (which is approximately 1 g/mL):

Density = 2650 g / (145 mL * 1 g/mL)

Density = 2650 g / 145 g ≈ 18.28 g/mL

Now, let's compare the density of the crown to the densities of gold and silver:

Density of silver = 10.5 g/mL
Density of gold = 19.3 g/mL

Since the density of the crown (18.28 g/mL) is closer to the density of gold (19.3 g/mL) than to the density of silver (10.5 g/mL), we can conclude that the crown is likely made of pure gold.