To solve this problem, we can use Charles's law, which states that the volume of a gas is directly proportional to its temperature when pressure remains constant. Mathematically, it can be expressed as:
V₁ / T₁ = V₂ / T₂
Where: V₁ is the initial volume T₁ is the initial temperature V₂ is the final volume (the volume we want to find) T₂ is the final temperature
Let's plug in the given values: V₁ = 1.2 liters T₁ = 20 degrees Celsius = 20 + 273.15 Kelvin (convert Celsius to Kelvin)
We need to convert the final temperature as well: T₂ = 130 degrees Celsius = 130 + 273.15 Kelvin
Now we can solve for V₂: V₁ / T₁ = V₂ / T₂
V₂ = (V₁ * T₂) / T₁
Substituting the values: V₂ = (1.2 * (130 + 273.15)) / (20 + 273.15)
Calculating this expression will give us the volume the gas occupies at 130 degrees Celsius under continuous pressure.