# A container has a volume of 24 L and holds 32 mol of gas. If the container is compressed such that its new volume is 14 L, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

Apr 28, 2017

The number of moles to be released is $= 13.3 m o l$

#### Explanation:

${V}_{1} / {n}_{1} = {V}_{2} / {n}_{2}$

Initial volume is ${V}_{1} = 24 L$

Final volume is ${V}_{2} = 14 L$

Initial number of moles is ${n}_{1} = 32 m o l$

Final number of moles is

${n}_{2} = {V}_{2} / {V}_{1} \cdot {n}_{1} = \frac{14}{24} \cdot 32 = 18.7 m o l$

Number of moles to be released is $= 32 - 18.7 = 13.3 m o l$