
Jeremy H. answered 07/27/21
PhD in chemistry from UPenn, BS in chemistry and physics
This is a very simplified example of the ideal gas law. The equation PV= nRT is what you need to use to solve this. In this example, it is assumed that n and V are constant and R (the ideal gas constant) is always constant so it's best to rearrange the equation with all the constants on one side so P/T = nR/V.
Now since we know nR/V is the same number at the initial T and P and final T and P, then we can write
intial P/T = nR/V = final P/T so you can see that initial P/T = final P/T. This is a nice short cut that can save you time doing math. Now, notice the question gives you the values for initial P and T and final P so all you need to do is plug those three numbers into the final equation and rearrange to solve for final T.