A container has a volume of #18 L# and holds #7 mol# of gas. If the container is compressed such that its new volume is #8 L#, how many moles of gas must be released to maintain a constant temperature and pressure?

1 Answer
Jun 22, 2016

Answer:

#3 8/9 mol#

Explanation:

Let n moles of gas to be released .

Given
# V_1= "Initial volume of gas"=18L#

# V_2= "Final volume of gas"=8L#

# n_1= "Initial no mole of gas"=7 mol#

# n_2= "Final no.of moles of gas"=7-n#

As the temerature and pressure of two gases are same their volume should be proportional to their respective no. Of moles as we know from Avogadro's law.

So

#n_2/n_1=V_2/V_1#

#=>(7-n)/7=8/18#

#=>7-n=28/9#
#=>n=7-28/9=35/9=3 8/9mol#