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?

Answer 1

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.