Question
Use the following information to answer the next questions:
A gas occupies 30. L at 2.0 atm pressure and 27°C.
Calculate its volume if the pressure is decreased to 1.0 atm at constant temperature.
A gas occupies 30. L at 2.0 atm pressure and 27°C.
Calculate its volume if the pressure is decreased to 1.0 atm at constant temperature.
Answers
GPT 3.5
To solve this problem, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure, assuming constant temperature.
Boyle's Law equation: P1 x V1 = P2 x V2
P1 = initial pressure = 2.0 atm
V1 = initial volume = 30 L
P2 = final pressure = 1.0 atm
V2 = final volume (unknown)
Using the equation, we can plug in the given values and solve for V2:
2.0 atm x 30 L = 1.0 atm x V2
60 atm L = V2
Therefore, after the pressure is decreased to 1.0 atm, the gas will occupy a volume of 60 L.
Boyle's Law equation: P1 x V1 = P2 x V2
P1 = initial pressure = 2.0 atm
V1 = initial volume = 30 L
P2 = final pressure = 1.0 atm
V2 = final volume (unknown)
Using the equation, we can plug in the given values and solve for V2:
2.0 atm x 30 L = 1.0 atm x V2
60 atm L = V2
Therefore, after the pressure is decreased to 1.0 atm, the gas will occupy a volume of 60 L.