A container has a volume of #8 L# and holds #9 mol# of gas. If the container is expanded such that its new volume is #36 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

1 Answer
Aug 21, 2016

Answer:

40.5 moles of gas must be injected into the container.

Explanation:

The answer can be calculated 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.

Identify your known and unknown variables:

#color(green)("Knowns:"#
#v_1#= 8 L
#v_2#= 36 L
#n_1#= 9 mol

#color(coral) ("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=(36 cancelLxx9mol)/(8\cancel"L")# = #40.5 mol#