Question

platinum (pt) has become a popular metal for fine jewelry. a man gives a woman an engagement ring and tells her that it is made of platinum. noting that the ring felt a little light, the woman decides to perform a test to determine the rings density before giving him an answer about marriage. she places the ring on a balance and finds it has a mass of 5.84 grams. she then finds that the ring displaces 0.556 cm³ of water. is the ring made of platinum? why or why not? (density of pt = 21.4 g/cm³)

Explanation:

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume.

Step2: Identify given values

We are given that $m = 5.84$ g and $V=0.556$ $cm^{3}$.

Step3: Calculate density of the ring

Substitute the values into the formula: $
ho=\frac{5.84}{0.556}\approx 10.5$ g/$cm^{3}$.

Step4: Compare with platinum density

The density of platinum is 21.4 g/$cm^{3}$. Since $10.5
eq21.4$, the ring is not made of platinum.

Answer:

No, because the calculated density of the ring ($\approx 10.5$ g/$cm^{3}$) is different from the density of platinum (21.4 g/$cm^{3}$).