A container has a volume of #12 L# and holds #8 mol# of gas. If the container is compressed such that its new volume is #5 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

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Answer 1 · 2018-03-05T04:16:25

4.67 mol

#PV = nRT#

T is constant. P is constant. R is constant.

#(n_1)/(V_1) = (RT)/(P)#

#(n_2)/(V_2) = (RT)/(P)#

Hence:
#(n_1)/(V_1) =(n_2)/(V_2)#

#8/12 = n_2/5#

#12n_2 = 40#

#n_2 =40/12 =10/3# mol

If we had 8 mol and now we have 3.33 mol, then 4.67 mol were released.