Question

A plastic bottle contains 32.5 L of gas at a pressure of 45.7 kPa and

is compressed to a volume of 4.1 L. What would be the new
pressure?

Answer 1

Final pressure, P2 = 362.26 kPa

Step-by-step explanation:

Given the following data;

Initial volume = 32.5 Liters

Initial pressure = 45.7 kPa

Final volume = 4.1 Liters

To find the final pressure, we would use Boyle's law;

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

`PV = K`

`P_(1)V_(1) = P_(2)V_(2)`

Substituting into the equation, we have;

`45.7 * 32.5 = P_(2) * 4.1`

`1485.25 = 4.1P_(2)`

`P_(2) = \frac {1485.25}{4.1}`

`P_(2) = 362.26`

Final pressure, P2 = 362.26 kPa