Final answer:
The volume of the gas at 75 K will be approximately 0.885 liters.
Step-by-step explanation:
To solve this problem, we can use the combined gas law equation, which is:
P₁V₁/T₁ = P₂V₂/T₂
where P is the pressure, V is the volume, and T is the temperature.
In this case, since the pressure and amount of gas do not change, we can rearrange the equation to solve for V₂:
V₂ = (V₁ * T₂) / T₁
Plugging in the given values, we have:
V₂ = (3.22 * 75) / 273 = 0.885 L
Therefore, the volume of the gas at 75 K will be approximately 0.885 liters.