Final answer:
According to Boyle's Law, the volume of a gas is inversely proportional to its pressure when temperature is constant. Using this law and the given values, we can determine that the volume of the gas will be 280L at a pressure of 1.0 atmosphere.
Step-by-step explanation:
To solve this problem, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure when temperature is constant. Boyle's Law can be expressed as P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.
Using the given values, we have P₁ = 7.0 atm, V₁ = 40 L, and P₂ = 1.0 atm. Plugging these values into the equation, we get (7.0 atm)(40 L) = (1.0 atm)(V₂). Solving for V₂, we find that the volume will be 280 L. Therefore, the correct answer is option b) 280L.