A container has a volume of #4 L# and holds #2 mol# of gas. If the container is expanded such that its new volume is #5 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 · 2018-02-08T17:22:31

The number of moles is #=0.5mol#

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 #=4L#

The initial number of moles is #n_1=2 mol#

The final volume is #V_2=5L#

The final number of moles is

#n_2=V_2/V_1*n_1=5/4*2=2.5mol#

The number of moles to be added is

#n=n_2-n_1=2.5-2=0.5mol#