A container has a volume of #42 L# and holds #12 mol# of gas. If the container is compressed such that its new volume is #14 L#, how many moles of gas must be released to maintain a constant temperature and pressure?

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Answer 1 · 2018-06-08T13:40:50

#8# moles of gas must be released.

For constant temperature and pressure, we can use Avogadro's law, which states that,

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

#:.(12 \ "mol")/(42 \ "L")=n_2/(14 \ "L")#

#n_2=(12 \ "mol")/(42color(red)cancelcolor(black)"L")*14color(red)cancelcolor(black)"L"#

#=4 \ "mol"#

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

#Deltan=12 \ "mol"-4 \ "mol"#

#=8 \ "mol"#