A container has a volume of #18 L# and holds #15 mol# of gas. If the container is compressed such that its new volume is #8 L#, how many moles of gas must be released to maintain a constant temperature and pressure?

1 Answer
Aug 15, 2016

Answer:

6.67 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.

Identify your known and unknown variables:

#color(green)("Knowns:"#
#V_1#= 18 L
#V_2#= 8 L
#n_1#= 15 mol

#color(red) ("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=(8 cancelLxx15mol)/(18\cancel"L")# = #6.67mol#