A container has a volume of #3 L# and holds #2 mol# of gas. If the container is expanded such that its new volume is #13 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

1 Answer
Apr 22, 2016

Answer:

#=6.67 mol#

Explanation:

By The equation of state for real gas we know

#PV = nRT#

Where
P = Pressure, V = Volume, n = number of moles of gas , T = Absolute temperature of the gas and R = universal gas constant.
In our case P and T are constant in both the case

So #V propn#
Here #V_1=3L and V_2=13L#
#n_1=2mol and n_2 =?#
#n_2/n_1=V_2/V_1=>n_2=n_1xxV_2/V_1=2xx13/3~~8.67mol#

So No of moles of gas injected #=n_2-n_1=8.67-2=6.67 mol#