A container has a volume of #4 L# and holds #5 mol# of gas. If the container is compressed such that its new volume is #3 L#, how many moles of gas must be released to maintain a constant temperature and pressure?

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Answer 1 · 2018-05-27T14:22:22

#1.25# moles of gas

At constant pressure, we can use Avogadro's law, which states that,

#Vpropn# or #V_1/n_1=V_2/n_2#

So, we get:

#(4 \ "L")/(5 \ "mol")=(3 \ "L")/n_2#

#n_2=(5 \ "mol")/(4color(red)cancelcolor(black)"L")*3color(red)cancelcolor(black)"L"#

#=3.75 \ "L"#

So, the number of moles that have to be released is:

#5 \ "mol"-3.75 \ "mol"#

#=1.25 \ "mol"#