Question

Swift has a balloon of gas at 17psi. The volume of the balloon is 6.563L. If the volume of the balloon is reduced to 1L, what will the new pressure be in psi?

Answer 1

Boyle's Law states that at constant temperature the volume of a given mass of a dry gas is inversely proportional to its pressure.

Most gases behave like ideal gases at moderate pressures and temperatures.

We use this:

`PxV)_{Condition\text{ 1 }}=PxV)_{Condition\text{ 2}}`

T doesn't change.

Condition 1:

P1 = 17 psi

V1 = 6.563 L

Condition 2:

P2= We need to find this

V2 = 1 L

-----------------------------------------------------------------------------------------

From Boyle's Law we clear P2:

`P2=(P1xV1)/(V2)`

P2 = (17 psi x 6.563 L) / 1 L = 111 psi

Answer: P2 = 111 psi (condition 2)