A container has a volume of #6 L# and holds #1 mol# of gas. If the container is expanded such that its new volume is #9 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 · 2017-11-13T21:17:41

This is based on the Gas Law PV=nRT

P = pressure, V = volume, n = #moles of gas, R = universal gas constant 8.31 J/mol, T = temp

So, #P_1*6=1*8.31*T_1#
#P_1/T_1=8.31/6=1.385#

Then, when the volume is expanded, 'n' will increase to keep P and T equal:

#P_1*9=n*8.31*T_1#
The ratio #P_1/T_1#will remain constant at 1.385, so #9*1.385 = n#