Question

A gas with a volume of 4.0L at a pressure of 205 kPa is allowed to expand to a volume of 12000 mL. What is the pressure in atmospheres in the container if the temperature remains constant?

Answer 1

Answer: The pressure in atmospheres is 0.674 in the container if the temperature remains constant.

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$     (At constant temperature and number of moles)

$P_1V_1=P_2V_2$  

where,

$P_1$ = initial pressure of gas  = 205 kPa

$P_2$ = final pressure of gas = ?

$V_1$ = initial volume of gas  = 4.0 L

$V_2$ = final volume of gas = 12000 ml = 12 L    (1L=1000ml)  

$205\times 4.0=P_2\times 12$  

$P_2=68.3kPa=0.674atm$        (1kPa=0.0098atm)

Therefore, the pressure in atmospheres is 0.674 in the container if the temperature remains constant.