Question

math connections
chemical properties and interactions
name:
date
group:
the chart below shows the physical properties of various objects that are dependent on the amount of matter.
density = mass ÷ volume
mass = density × volume
volume = mass ÷ density
complete the data table, then label the density column to the right, indicating how the objects will layer based on their density.

object	mass (g)	volume (cm³)	density (g/cm³)
water	2.	18	1.0
gold	9.565	0.5	3.
honey	4.	7	1.420
red potato	11.66	5.	1.06
liquid nitrogen	1.42	20	6.
aluminum	7.	14	2.7
ping pong ball	1.765	21	8.
rubbing alcohol	13.3518	17	9.
corn syrup	34.5	10.	1.38

density column
liquid nitrogen
______
______
______
______
______
corn syrup
honey
aluminum
gold
most dense

Explanation:

Step1: Solve for Vegetable Oil Volume

Use $Volume = \frac{Mass}{Density}$
$\frac{18.83}{0.922} = 20.42$

Step2: Solve for Water Mass

Use $Mass = Density \times Volume$
$1.0 \times 18 = 18$

Step3: Solve for Gold Density

Use $Density = \frac{Mass}{Volume}$
$\frac{9.565}{0.5} = 19.13$

Step4: Solve for Honey Mass

Use $Mass = Density \times Volume$
$1.420 \times 7 = 9.94$

Step5: Solve for Red Potato Volume

Use $Volume = \frac{Mass}{Density}$
$\frac{11.66}{1.06} = 10.99 \approx 11.0$

Step6: Solve for Liquid Nitrogen Density

Use $Density = \frac{Mass}{Volume}$
$\frac{1.42}{20} = 0.071$

Step7: Solve for Aluminum Mass

Use $Mass = Density \times Volume$
$2.7 \times 14 = 37.8$

Step8: Solve for Ping Pong Ball Density

Use $Density = \frac{Mass}{Volume}$
$\frac{1.765}{21} \approx 0.084$

Step9: Solve for Rubbing Alcohol Density

Use $Density = \frac{Mass}{Volume}$
$\frac{13.3518}{17} = 0.7854$

Step10: Solve for Corn Syrup Volume

Use $Volume = \frac{Mass}{Density}$
$\frac{34.5}{1.38} = 25.0$

Step11: Order by Density (Top to Bottom)

Sort from lowest to highest density: Liquid Nitrogen, Ping Pong Ball, Rubbing Alcohol, Vegetable Oil, Water, Corn Syrup, Honey, Red Potato, Aluminum, Gold

Answer:

Completed Data Table:

Object	Mass (g)	Volume (cm³)	Density (g/cm³)
Water	18	18	1.0
Gold	9.565	0.5	19.13
Honey	9.94	7	1.420
Red Potato	11.66	11.0	1.06
Liquid Nitrogen	1.42	20	0.071
Aluminum	37.8	14	2.7
Ping Pong Ball	1.765	21	0.084
Rubbing Alcohol	13.3518	17	0.7854
Corn Syrup	34.5	25.0	1.38

Density Column (Top to Bottom, Lowest to Highest Density):

1. Liquid Nitrogen
2. Ping Pong Ball
3. Rubbing Alcohol
4. Vegetable Oil
5. Water
6. Corn Syrup
7. Honey
8. Red Potato
9. Aluminum
10. Gold