A container has a volume of #24 L# and holds #32 mol# of gas. If the container is compressed such that its new volume is #9 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

1 Answer
Aug 26, 2016

Answer:

12 moles of gas must be released

Explanation:

Let's use Avogadro's law to calculate the answer:

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

Identify your known and unknown variables:

#color(magenta)("Knowns:"#
#v_1#= 24 L
#v_2#= 9 L
#n_1#= 32 mol

#color(maroon) ("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=(9cancelLxx32mol)/(24cancel"L")# = #12 mol#