A container has a volume of #12 L# and holds #8 mol# of gas. If the container is compressed such that its new volume is #4 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

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Answer 1 · 2018-08-02T17:54:52

The number of moles to be released is #=5.33mol#

Apply Avogadro's Law

#"Volume"/"Number of moles"= " Constant"#

At constant temperature and pressure

#V_1/n_1=V_2/n_2#

The initial volume is #=12L#

The initial number of moles is #n_1=8mol#

The final volume is #V_2=4L#

The final number of moles is

#n_2=V_2/V_1*n_1=4/12*8=8/3mol#

The number of moles to be released is

#=n_2-n_1=8-8/3=16/3=5.33mol#