Calculate the pressure on 400 mL of a gas is raised from 20.5 kPa to 80.5 kPa. What is the final volume of the gas?
To calculate the final volume of the gas, we can use Boyle's Law.
Boyle's Law states that the product of pressure and volume is constant for a given amount of gas at a constant temperature.
We can calculate the final volume using the equation:
(P1)(V1) = (P2)(V2)
where P1 and V1 are the initial pressure and volume, P2 and V2 are the final pressure and volume.
Converting the initial volume from mL to L, we have:
V1 = 400 mL = 400/1000 L = 0.4 L
Plugging in the given values:
(20.5 kPa)(0.4 L) = (80.5 kPa)(V2)
Solving for V2:
0.4 L = (80.5 kPa)(V2) / (20.5 kPa)
Multiplying both sides by (20.5 kPa)/(80.5 kPa):
0.4 L * (20.5 kPa)/(80.5 kPa) = V2
Simplifying:
V2 = 0.101 L
Therefore, the final volume of the gas is 0.101 L.