A container has a volume of #2 L# and holds #7 mol# of gas. If the container is expanded such that its new volume is #15 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 · 2018-06-29T12:33:42

Number of moles to be injected is #=45.5mol#

Apply Avogadro' s Law

#" Volume "/ "Number of moles " = "Constant"# at constant temperature and pressure.

Therefore,

#V_1/n_1=V_2/n_2#

The initial volume is #V_1=2L#

The initial number of moles is #n_1=7 mol#

The final volume is #V_2=15L#

The final number of moles is

#n_2=V_2/V_1*n_1=15/2*7=52.5mol#

Number of moles to be injected is

#=52.5-7=45.5mol#