A container has a volume of #21 L# and holds #24 mol# of gas. If the container is compressed such that its new volume is #12 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?
The amount of gas that needs to be released to maintain constant pressure and temperature is
This is an example of Avogadro's law, which states that the volume of a gas is directly proportional to the amount in moles (n), as long as the pressure and temperature are kept constant. The proportion
Since there are only two sets of data, the equation to use is
Rearrange the equation to isolate
The amount of gas that must be released to maintain constant pressure and temperature is