A container has a volume of #48 L# and holds #6 mol# of gas. If the container is compressed such that its new volume is #36 L#, how many moles of gas must be released to maintain a constant temperature and pressure?

1 Answer
Aug 24, 2016

Answer:

#4.5 "moles"# of gas must be released

Explanation:

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

#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(teal)("Knowns:"#
#v_1#= 48 L
#v_2#= 36 L
#n_1#= 6 mol

#color(orange) ("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 cancelLxx6mol)/(48cancel"L")# = #4.5 mol#