Question

A gas is at a pressure of 12.5 psi and a volume of 750 mL. What volume will the gas occupy at a pressure of 18 psi?

Answer 1

Answer : The volume of gas occupy at a pressure of 18 psi is, 520.8 mL

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

`P\propto (1)/(V)`

or,

`P_1V_1=P_2V_2`

where,

`P_1` = initial pressure = 12.5 psi

`P_2` = final pressure = 18 psi

`V_1` = initial volume = 750 mL

`V_2` = final volume = ?

Now put all the given values in the above equation, we get:

`12.5psi* 750mL=18psi* V_2`

`V_2=520.8mL`

Thus, the volume of gas occupy at a pressure of 18 psi is, 520.8 mL