Question

1. calculate the following using correct units and significant digits.

a. a metal has a volume of 4.2 ml and a mass of 16.0 g. what is its density?
b. a solid object has a mass of 3.50 g and a volume of 6.0 ml. what is its density?
c. an object has a volume of 4.5 ml and a mass of 20.8 g. what is its density?

1. order these liquids in the correct order in the density - column

maple syrup 1.33 g/ml
sprite 1.0 g/ml
canola oil 0.91 g/ml
dish soap 1.2 g/ml

Explanation:

Step1: Recall density formula

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

Step2: Solve part a

Given $m = 16.0\ g$ and $V=4.2\ mL$. Then $
ho=\frac{16.0\ g}{4.2\ mL}\approx3.8\ g/mL$ (rounded to 2 significant - digits).

Step3: Solve part b

Given $m = 3.50\ g$ and $V = 6.0\ mL$. Then $
ho=\frac{3.50\ g}{6.0\ mL}\approx0.58\ g/mL$ (rounded to 2 significant - digits).

Step4: Solve part c

Given $m = 21.8\ g$ and $V = 4.5\ mL$. Then $
ho=\frac{21.8\ g}{4.5\ mL}\approx4.8\ g/mL$ (rounded to 2 significant - digits).

Step5: Order liquids by density

To order the liquids from most dense to least dense, compare the given densities. The order is: Maple syrup ($1.33\ g/mL$), Dish soap ($1.2\ g/mL$), Sprite ($1.0\ g/mL$), Canola oil ($0.91\ g/mL$).

Answer:

a. $\approx3.8\ g/mL$
b. $\approx0.58\ g/mL$
c. $\approx4.8\ g/mL$
Order of liquids: Maple syrup, Dish soap, Sprite, Canola oil