Question

use the formula for density, d = m/v, where d is density, m is mass, and v is volume, to solve the problem below.
substance mass (g) volume (cm3)
a 100 5.0
b 20.00 4.0
c 2.70 3.0
d 8.96 6.0
e 12.2 0.1
examine the table for properties of various substances (a - e) shown here. calculate the densities for each of these substances. determine which substances will float in water, which has a density of 1.0 g/ml. select all that apply.

Explanation:

Step1: Calculate density of Substance A

$d_A=\frac{M_A}{V_A}=\frac{1.00}{5.0}= 0.2\ g/cm^3$

Step2: Calculate density of Substance B

$d_B=\frac{M_B}{V_B}=\frac{20.00}{4.0}=5.0\ g/cm^3$

Step3: Calculate density of Substance C

$d_C=\frac{M_C}{V_C}=\frac{2.70}{3.0}=0.9\ g/cm^3$

Step4: Calculate density of Substance D

$d_D=\frac{M_D}{V_D}=\frac{8.96}{6.0}\approx1.49\ g/cm^3$

Step5: Calculate density of Substance E

$d_E=\frac{M_E}{V_E}=\frac{12.2}{0.1}=122\ g/cm^3$

Step6: Determine substances that float

Substances with density less than $1.0\ g/cm^3$ will float in water. So Substance A ($d_A = 0.2\ g/cm^3$) and Substance C ($d_C=0.9\ g/cm^3$) will float.

Answer:

A. Substance A, C. Substance C