# A container has a volume of 72 L and holds 6 mol of gas. If the container is compressed such that its new volume is 36 L, how many moles of gas must be released to maintain a constant temperature and pressure?

Mar 23, 2016

$3 \text{mol}$
We imagine the molecules of the $6 \text{mol}$ of gas to be evenly distributed within the $72 \text{L}$ container.
Now, we put a partition at the center of the container to divide the container into 2 - $36 \text{L}$ containers.
Each $36 \text{L}$ container will take half the original amount of gas. (There is no reason why one side should have more than the other) So that would be $6 \text{mol" xx 1/2 = 3 "mol}$.