A 12.0 L sample of argon gas has a pressure of 28.0 atm. What volume would this gas occupy at 9.70 atm?
The volume that this gas occupies is
Let's start off with identifying our known and unknown variables.
The first volume we have is 12.0 L, the first pressure is 28.0 atm, and the second pressure is 9.70 atm. Our only unknown is the second volume.
We can obtain the answer using Boyle's Law which shows that there is an inverse relationship between pressure and volume as long as the temperature and number of moles remain constant.
The equation we use is
where the numbers 1 and 2 represent the first and second conditions. All we have to do is rearrange the equation to solve for the volume.
We do this by dividing both sides by
Now all we do is plug and chug!