At 2.0 atm pressure, the volume of a gas is 4.0 L. If the pressure is reduced to 1.0 atm while keeping the temperature constant, what will be the new volume of the gas?
A.
2.0 L
B.
6.0 L
C.
8.0 L
D.
4.0 L
Correct answer is C
According to Boyle's law, when the temperature is constant, the initial pressure multiplied by the initial volume is equal to the final pressure multiplied by the final volume. Mathematically, P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume, respectively. Using the given values:
(2.0 atm) * (4.0 L) = (1.0 atm) * (V2)
Solving for V2:
V2 = (2.0 atm * 4.0 L) / (1.0 atm) = 8.0 L
