A sample of gas has a volume of 12 liters at 0°C and 380 torr. What will be its volume when the pressure is changed to 760 torr at a constant temperature?

1 Answer
Feb 28, 2017

Answer:

The new volume would be 6 liters.

Explanation:

#PV = nRT#

#P# is pressure in atm (760 torr = 1 atm); #V# is volume in liters; #n# is the number of moles; #R# is the constant 0.0821; #T# is temperature in Kelvin.

#n#, #R#, and #T# are constant; therefore, #P_1V_1 = P_2V_2#

Convert the torr into atm

#P_1# = #(380"torr")/(760 "torr" times atm^(-1))# = #0.5# atm
#P_2# = #(760"torr")/(760 "torr" times atm^(-1))# = #1# atm

Set the volume

#V_1# = 12 L
#V_2# = #x# L

#P_1V_1 = P_2V_2#
#0.5"atm" times 12 "L"# = #1"atm" times x "L"#
#x#L = 6L

The new volume would be 6 liters.