1. convert the following measurements:\na. 0.92 mm = 0.00092 m\nb. 8 kg = 80000 dg\nc. 35 dam = 0.35 km\nd…
1. convert the following measurements:\na. 0.92 mm = 0.00092 m\nb. 8 kg = 80000 dg\nc. 35 dam = 0.35 km\nd. 690 ml = 0.690 l\ne. 0.068 m = 68 mm\nf. 934 cm = 0.0934 hm\ng. 0.55 l = 550 ml\nh. 6.45 kg = 6450000 mg\ni. 75 mg = 0.075 g\n2. calculate the following using correct units and significant digits.\na. a metal has a volume of 4.2 ml and a mass of 16.0 g. what is its density?\nb. a solid object has a mass of 3.50 g and a volume of 6.0 ml. what is its density?\nc. an object has a volume of 4.5 ml and a mass of 20.6 g. what is its density?\n3. order these liquids in the correct order in the density column:\nmaple syrup 1.33 g/ml\nsprite 1.0 g/ml\ncanola oil 0.91 g/ml\ndish soap 1.2 g/ml
Answer
Explanation:
Step1: Recall density formula
The density formula is $\rho=\frac{m}{V}$, where $\rho$ is density, $m$ is mass and $V$ is volume.
Step2: Solve part a
Given $m = 16.0\ g$ and $V=4.2\ mL$. Then $\rho=\frac{16.0\ g}{4.2\ mL}\approx3.8\ g/mL$ (rounded to two - significant digits).
Step3: Solve part b
Given $m = 3.50\ g$ and $V = 6.0\ mL$. Then $\rho=\frac{3.50\ g}{6.0\ mL}\approx0.58\ g/mL$ (rounded to two - significant digits).
Step4: Solve part c
Given $m = 20.6\ g$ and $V = 4.5\ mL$. Then $\rho=\frac{20.6\ g}{4.5\ mL}\approx4.6\ g/mL$ (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