Question

1. convert the following measurements:

a. 0.92 mm = 0.00092 m
b. 8 kg = 80000 dg
c. 35 dam = 0.35 km
d. 690 ml = 0.690 l
e. 0.068 m = 68 mm
f. 934 cm = 0.0934 hm
g. 0.55 l = 550 ml
h. 6.45 kg = 6450000 mg
i. 75 mg = 0.075 g

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 20.6 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 density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ 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 two - 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 two - significant digits).

Step4: Solve part c

Given $m = 20.6\ g$ and $V = 4.5\ mL$. Then $
ho=\frac{20.6\ g}{4.5\ mL}\approx4.6\ g/mL$ (rounded to two - significant digits).

Step5: Order the liquids by density

Comparing the given densities: $0.91\ g/mL$ (Canola oil) $<1.0\ g/mL$ (Sprite) $<1.2\ g/mL$ (Dish soap) $<1.33\ g/mL$ (Maple syrup).

Answer:

a. $3.8\ g/mL$
b. $0.58\ g/mL$
c. $4.6\ g/mL$
Order of liquids: Canola oil, Sprite, Dish soap, Maple syrup