# A container has a volume of 48 L and holds 6 mol of gas. If the container is compressed such that its new volume is 32 L, how many moles of gas must be released to maintain a constant temperature and pressure?

Jun 5, 2017

The number of moles is $= 2 m o l$

#### Explanation:

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

The initial volume is ${V}_{1} = 48 L$

The initial number of moles is ${n}_{1} = 6 m o l$

The final volume is ${n}_{2} = 32 L$

The final number of moles is

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

$= \frac{32}{48} \cdot 6 = 4 m o l$

The number of moles to be released is $= 6 - 4 = 2 m o l$