Final answer:
The final volume of the gas, when 1 more gram of carbon dioxide is added to the system, is 4.5 L.
Step-by-step explanation:
To find the final volume, we can use the relationship between the amount of gas and its volume, as long as the temperature and pressure remain constant. Assuming the amount of gas is directly proportional to its volume, we can set up a proportion: amount of gas / initial volume = amount of gas / final volume.
Given that 2 grams of carbon dioxide occupies a volume of 3.0 L, we can substitute these values into the equation: 2 g / 3.0 L = (2 g + 1 g) / final volume.
Simplifying the equation, we get: 2/3 = 3/(final volume). Cross-multiplying and solving for the final volume gives us final volume = 9/2 = 4.5 L.