A container has a volume of #12 L# and holds #14 mol# of gas. If the container is compressed such that its new volume is #7 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

1 Answer
Dec 27, 2016

Answer:

8.17 moles of gas must be released from the container

Explanation:

Let's use Avogadro's law:

http://study.com/academy/lesson/molar-volume-using-avogadros-law-to-calculate-the-quantity-or-volume-of-a-gas.html

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#= 5 L
#v_2#= 12 L
#n_1#= 1 mol

#color(green) ("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=(7cancelLxx14mol)/(12\cancel"L")# = #8.17 mol#