The formula for density is:

$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$

Given:

• Mass of the gas = 1.38 g
• Volume of the gas = 2.90 L

Now, let's calculate the density:

$\text{Density} = \frac{1.38 \, \text{g}}{2.90 \, \text{L}} = 0.4759 \, \text{g/L}$

Considering significant figures:

• The mass (1.38 g) has 3 significant figures.
• The volume (2.90 L) has 3 significant figures.

Thus, the final answer should be rounded to 3 significant figures.

$\text{Density} = 0.476 \, \text{g/L}$

Final Answer:

The density of the gas is 0.476 g/L.

Would you like any more details or have further questions?

Here are 5 related questions:

1. How would the density change if the gas's mass increased but the volume remained the same?
2. What is the relationship between temperature and the density of a gas?
3. How does the density of a gas compare to that of a solid or liquid?
4. If the volume of the gas is reduced, how does it affect the density?
5. Can the ideal gas law be used to calculate density under different conditions?

Tip: When working with significant figures, always make sure that your final answer reflects the least precise measurement used in your calculations.