A container has a volume of #18 L# and holds #9 mol# of gas. If the container is compressed such that its new volume is #12 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

1 Answer
Aug 14, 2016

Answer:

#color(blue)(" 6 moles of gas must be released."#

Explanation:

The answer can be determined by using Avogadro's law:

#v_1/n_1 = v_2/n_2#

The number 1 represents the initial conditions and the number 2 represents the final conditions.

Let's identify our known and unknown variables.

#color(magenta)("Knowns:"#
#V_1#= 18 L
#V_2#= 12 L
#n_1#= 9 mol

#color(blue)("Unknowns:"#
#n_2#

Rearrange the equation to solve for the final number of moles:

#n_2=(V_2xxn_1)/V_1#

Plug in your given values to obtain the final number of moles:

#n_2=(12 cancelLxx9mol)/(18\cancel"L")# = #6 mol#