Question

14 - 18. list the substances a - e in order from most dense to least dense based on the facts provided. write your answers in the spaces provided below. substance a: 8.2 g/cm³. substance b: 3.5 cm³ and 30.0 g. substance c: 10.0 g and 40 ml. substance d: 0.5 g/cm³. substance e: 2.0 cm by 3.0 cm by 1.0 cm and 4.0 grams. most dense b a e d c least dense

Explanation:

Step1: Calculate density of Substance C

Density formula is $
ho=\frac{m}{V}$, where $m = 10.0\ g$ and $V=40\ mL = 40\ cm^{3}$, so $
ho_C=\frac{10.0\ g}{40\ cm^{3}} = 0.25\ g/cm^{3}$

Step2: Calculate density of Substance B

Given $m = 30.0\ g$ and $V = 3.5\ cm^{3}$, $
ho_B=\frac{30.0\ g}{3.5\ cm^{3}}\approx8.57\ g/cm^{3}$

Step3: Calculate density of Substance E

Volume of Substance E is $V = 2.0\ cm\times3.0\ cm\times1.0\ cm=6.0\ cm^{3}$, $m = 4.0\ g$, so $
ho_E=\frac{4.0\ g}{6.0\ cm^{3}}\approx0.67\ g/cm^{3}$

Step4: Compare densities

We have $
ho_A = 8.2\ g/cm^{3}$, $
ho_B\approx8.57\ g/cm^{3}$, $
ho_C = 0.25\ g/cm^{3}$, $
ho_D = 0.5\ g/cm^{3}$, $
ho_E\approx0.67\ g/cm^{3}$
Arranging from most - dense to least - dense: $B$, $A$, $E$, $D$, $C$

Answer:

Substance B, Substance A, Substance E, Substance D, Substance C