Question

the density of water is approximately 1 $\frac{g}{cm^{3}}$. which of these substances will sink in water? a liquid hydrogen, d = 0.070 $g/cm^{3}$ b lithium, d = 0.535 $g/cm^{3}$ c potassium, d = 0.860 $g/cm^{3}$ d polymer resin, d = 1.03 $g/cm^{3}$

Explanation:

Step1: Recall density - sinking rule

A substance sinks in water if its density is greater than the density of water. The density of water is approximately $1\frac{g}{cm^{3}}$.

Step2: Compare densities

• For liquid hydrogen: $d = 0.070\frac{g}{cm^{3}}<1\frac{g}{cm^{3}}$, it will float.
• For lithium: $d = 0.535\frac{g}{cm^{3}}<1\frac{g}{cm^{3}}$, it will float.
• For potassium: $d = 0.860\frac{g}{cm^{3}}<1\frac{g}{cm^{3}}$, it will float.
• For polymer resin: $d = 1.03\frac{g}{cm^{3}}>1\frac{g}{cm^{3}}$, it will sink.

Answer:

D. polymer resin, d = 1.03 g/cm³