Step-by-step explanation:
We can use Boyle's Law to solve this problem, which states that the product of the pressure and volume of a gas is constant at constant temperature. Mathematically, this 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.
Plugging in the given values, we get:
P1 = 3.0 atm
V1 = 2 L
P2 = 7 atm
V2 = ?
Using the formula P1V1 = P2V2, we can solve for V2:
V2 = (P1V1) / P2
V2 = (3.0 atm x 2 L) / 7 atm
V2 = 0.86 L (rounded to two decimal places)
Therefore, the volume of the gas at a pressure of 7.0 atm is 0.86 L.