Question

A gas is allowed to expand from a volume of 400 ml to 2000 ml at a constant temperature. If the the initial pressure is 3 atm, calculate the final pressure exerted by the gas

Answer 1

`P_(2)) = 0.6 \; atm`

Step-by-step explanation:

Given the following data;

Initial volume = 400 mL

Final volume = 2000 mL

Initial pressure = 3 atm

To find the final pressure P2, we would use Boyles' 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;

`3 * 400 = P_(2)* 2000`

`1200 = 2000P_(2)`

`P_(2)) = \frac {1200}{2000}`

`P_(2)) = 0.6 \; atm`