Answer:
When the pressure of the vessel is decreased by a factor of three, the volume will increase by a factor 3. This means the new volume is 96.00 L
Explanation:
Step 1: Data given
Volume of the gas = 32.00 L
Pressure of the gas = 1.59 atm
Temperature and moles of gas stay constant
the pressure of the vessel is decreased by a factor of three
Step 2: Calculate the new volume
P1*V1 = P2*V2
⇒with P1 = the initial pressure = 1.59 atm
⇒with V1 = the initial volume = 32.00 L
⇒with P2 = the decreased pressure = 1.59 / 3 = 0.53 atm
⇒with V2 = the new volume = TO BE DETERMINED
1.59 atm * 32.00 L = 0.53 atm * V2
V2 = (1.59 * 32.00 L) / 0.53 atm
V2 = 96.00 L
When the pressure of the vessel is decreased by a factor of three, the volume will increase by a factor 3. This means the new volume is 96.00 L
