A container has a volume of #12 L# and holds #15 mol# of gas. If the container is expanded such that its new volume is #21 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

1 Answer
Nov 29, 2016

Answer:

The moles of gas to be injected into the container is 26.25 moles.

Explanation:

Take the ideal gas equation
#PV=nRT#
Considering the pressure and temperature as constants:
#Vpropn#
Volume of the gas is proportional to the number of moles of the gas.
By this we get,
#(V_1)/(V_2)=(n_1)/(n_2) =>n_2=[V_2xxn_1]/(V_1)#
Substituing the values we get,
the moles of gas that to be injected into the container to maintain a constant temperature and pressure #n_2=26.25mol#.