A cylinder containing 20.0 L of compressed nitrogen is connected to an empty (evacuated) vessel with an unknown volume. The gas pressure in the cylinder starts at 25 atm and drops to 2 atm without a change in temperature. Determine the volume of the vessel.

The new volume of the vessel is 250 L

Explanation:

Step 1: Data given

The volume of the cylinder = 20.0 L

The initial pressure of the gas = 25 atm

The pressure drops to 2 atm

Step 2: Calculate the volume of the vessel

P1*V1 = P2*V2

⇒with P1 = the initial pressure = 25 atm

⇒with V1 = the initial volume = 20.0 L

⇒with P2 = the final pressure = 2 atm

⇒with V2 = the final volume = TO BE DETERMINED

25 atm* 20.0 L = 2.0 atm * V2

V2 = 250 L

The new volume of the vessel is 250 L