Question: density = mass \over volume
2.67 kg of fluorine gas has a volume of 1.64 \times 10^6 cm^3.
Calculate the density of the fluorine gas in g/cm^3.
Give your answer in standard form to 3 significant figures.
1. **State the problem:** We need to find the density of fluorine gas in g/cm^3 given the mass and volume.
2. **Formula:** Density $\rho$ is given by the formula:
$$\rho = \frac{\text{mass}}{\text{volume}}$$
3. **Convert mass to grams:** Since mass is given in kilograms, convert it to grams:
$$2.67\ \text{kg} = 2.67 \times 1000 = 2670\ \text{g}$$
4. **Substitute values into the formula:**
$$\rho = \frac{2670}{1.64 \times 10^6}$$
5. **Calculate the density:**
$$\rho = \frac{2670}{1.64 \times 10^6} = 1.62804878 \times 10^{-3}$$
6. **Express in standard form to 3 significant figures:**
$$\rho = 1.63 \times 10^{-3} \ \text{g/cm}^3$$
**Final answer:** The density of fluorine gas is $1.63 \times 10^{-3}$ g/cm$^3$.