To solve this problem, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas:
P₁V₁/T₁ = P₂V₂/T₂
where P₁, V₁, and T₁ are the initial pressure, volume, and temperature of the gas, and P₂, V₂, and T₂ are the final pressure, volume, and temperature of the gas.
In this problem, we are given the initial volume (V₁) and temperature (T₁), and we want to find the final volume (V₂) at a different temperature (T₂). We can assume that the pressure of the gas remains constant.
Plugging in the values we get:
P₁V₁/T₁ = P₂V₂/T₂
Since the pressure is constant, we can simplify this to:
V₁/T₁ = V₂/T₂
Solving for V₂:
V₂ = V₁(T₂/T₁)
Plugging in the values we get:
V₂ = 3.9 L (353 K / 253 K)
V₂ = 5.45 L
Therefore, the volume of the gas at 353 K will be 5.45 L (rounded to two decimal places).