Question

A supposedly silver crown is tested to determine its density. It displaces 10.7 ml of water and has a mass of 112 g. Part a could the crown be made of silver? Could the crown be made of silver? No, the crown did not make of silver. The obtained density is higher than the density of silver which is 10.5 g/ml. Yes, the crown made of silver. The obtained density is equal to the density of silver which is 10.5 g/ml. No, the crown did not make of silver. The obtained density is lower than the density of silver which is 10.5 g/ml.

Answer 1

Answer:

As the silver crown is tested and it displaced 10.7mL of water with mass of crown  = 112g

Thus density = mass of metal / volume of water displaced = 112 / 10.7 = 10.5 g /mL

The actual density of silver = 10.5g / mL

Thus the crown is made up of silver as the obtained density is same as the actual density of silver

Answer 2

Density of a substance is the mass per unit volume of that substance. Density values of a substance are constant.

Given the mass of the crown = 112 g

Volume of water displaced by the crown = 10.7 mL

Density of the crown = $\frac{Mass}{Volume}$

                                   = $\frac{112 g}{10.7 mL} =10.5\frac{g}{mL}$

The crown is supposed to be made of silver. The density of silver is 10.5g/mL. The calculated value of density from given mass and volume displaced by the crown is equal to the theoretical density value of silver.

So the correct answer will be that the crown is made of silver as the estimated density is equal to that to density of silver.