A container has a volume of 42 L and holds 12 mol of gas. If the container is compressed such that its new volume is 15 L, how many moles of gas must be released to maintain a constant temperature and pressure?

Jun 11, 2017

The number of moles to be released is $= 7.71 m o l$

Explanation:

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

The initial volume is ${V}_{1} = 42 L$

The initial number of moles ${n}_{1} = 12 m o l$

The final volume is ${V}_{2} = 15 L$

The final number of moles is

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

$= \frac{15}{42} \cdot 12 = 4.29 m o l$

Number of moles to be released is $= 12 - 4.29 = 7.71 m o l$