We can use Boyle's law to solve this problem, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's law: P₁V₁ = P₂V₂Where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.We need to convert the initial volume to liters:
V₁ = 400.0 mL = 0.4000 L
Then, we can plug in the values into Boyle's law:5.00 atm x 0.4000 L = P₂ x 1.6 LSolving for P₂, we get:P₂ = (5.00 atm x 0.4000 L) / 1.6 LP₂ = 1.25 atmTherefore, the pressure at which the volume of the gas is 1.6 L is 1.25 atm.