A container has a volume of #4 L# and holds #9 mol# of gas. If the container is expanded such that its new volume is #36 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

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Answer 1 · 2017-03-02T09:47:17

We must inject #72mol# of gas

The Ideal Gas Law is

#PV=nRT#

#V/n=RT/P#

#V/n=k#

Where #k=#constant

#V_1/n_1=V_2/n_2#

#V_1=4L#

#n_1=9mol#

#V_2=36L#

#n_2=V_2/V_1*n_1#

#=36/4*9=81mol#