Question

1. solve each problem.

• what is the density of carbon dioxide gas if 1.6 g occupies a volume of 100 ml?
• density = \\(\frac{mass}{volume}\\) or \\(d = \frac{m}{v}\\)

1. a block of wood that measures 3.0 cm on each side has a mass of 27 g. what is the density of the block?
2. an irregularly - shaped stone was lowered into a graduated cylinder holding a volume of water equal to 2.0 ml. the height of the water rose to 7.0 ml. if the mass of the stone was 25 g, what was its density?
3. a 10.0 cm³ sample of copper has a mass of 89.6 g. what is the density of copper?
4. silver has a density of 10.5 g/cm³, and gold has a density of 19.3 g/cm³. which would have a greater mass, 5 cm³ of silver or 5 cm³ of gold?
5. five ml of ethanol has a mass of 3.9 g, and 50 ml of benzene has a mass of 44.9 g. which liquid is denser?
6. a sample of iron in the shape of a rectangular prism has the dimensions of 3 cm×3 cm×2 cm. if the mass of this object is 48 g, what is the density of iron?

Explanation:

Step1: Recall density formula

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

Step2: Calculate volume of iron sample

The volume of a rectangular - prism is $V = l\times w\times h$. Given $l = 3\ cm$, $w = 3\ cm$, and $h = 2\ cm$, then $V=3\times3\times2=18\ cm^{3}$.

Step3: Calculate density of iron

The mass of the iron sample $m = 409\ g$. Using the density formula $D=\frac{m}{V}$, we substitute $m = 409\ g$ and $V = 18\ cm^{3}$. So $D=\frac{409}{18}\approx22.72\ g/cm^{3}$.

Answer:

The density of iron is approximately $22.72\ g/cm^{3}$.