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.

$P\propto \frac{1}{V}$

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:

$12.5psi\times 750mL=18psi\times V_2$

$V_2=520.8mL$

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