Answer:
To solve this problem, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas:
P1V1/T1 = P2V2/T2
where P1, V1, and T1 are the initial pressure, volume, and temperature, and P2, V2, and T2 are the final pressure, volume, and temperature.
We are given:
P1 = 105 kPa
V1 = 5.0 L
P2 = 45 kPa
T1 = T2 (temperature is constant)
We need to find V2, the final volume.
Substituting the given values into the combined gas law equation, we get:
(105 kPa)(5.0 L)/T = (45 kPa)V2/T
Simplifying, we get:
V2 = (105 kPa)(5.0 L)/(45 kPa) = 11.7 L
Therefore, the volume of the gas is 11.7 L when the pressure changes from 105 kPa to 45 kPa, assuming the temperature remains constant.