Answer to Question #192833 in General Chemistry for Brandon Dizon

Question

A sample of gas in a container has a volume of 18.10mL at 3.500 atm. What will be the volume if the pressure becomes 2.500 atm, with a fixed amount of gas and temperature? 

Answer 1

Initial Volume, $V_1=18.10\space mL$

Initial pressure, $P_1=3.500\space atm$

Final Volume $=V_2$

Final pressure, $P_2=2.500\space atm$

At constant temperature and mass

$P_1V_1=P_2V_2$

$V_2=V_1\dfrac{P_1}{P_2}=18.10\times\dfrac{3.5}{2.5}=25.34\space mL$

$V_2=25.34\space mL$