James M. answered • 03/21/20

Science Tutor Specializing in Biology and Chemistry

You will actually not have to convert to L.

For equations like this you will need to use the ideal gas law PV=nRT.

**First we ask what is changing?**

The equation tells us that the volume changes and asks us to find the new temperature. We know that temp (T) and volume (V) will change.

**Second ask what values stay the same?**

In this equation we are told that the amount of gas doesn't change so **n is a constant** in this scenario.

We are told that P does not change, so **P is a constant** in this scenario.

**R is always a constant**.

We can rearrange the ideal gas law so that all of the values that stay the same are on one side and all of the values that change are on the other side.

PV=nRT dividing both sides by P*T yeilds:

V/T=nR/P Becuase n, R, and P are constants we know that nR/P is constant. Therefore

V/T = (constant) at any given time.

We don't need to calculate what this constant is. Because **the ratio of volume to temperature (V/T) is constant** in this scenario, we know that the V/T before the expansion is the same as V/T after the expansion.

V_{1}/T_{1}=V_{2}/T_{2}

Now you can plug un your V_{1} and T_{1} from before the expansion and V_{2} from after the expansion to solve for the Temperature after the expansion.

Because this is a ratio, it doesn't matter what your units are as long as long as they are measured in absolute units. This means that volume can be measured in any unit (gal, mL, L, cubic feet, ect), but temperature must be in °K.