Calculating New Volume Using the Combined Gas Law

In this problem, we're looking at a gas undergoing changes in pressure, volume, and temperature. We need to find the final volume given the initial and final states.

To solve this, we use the Combined Gas Law, which relates the initial and final pressure, volume, and temperature of a fixed amount of gas.

Let's list our known values from the problem. The initial pressure is one hundred twenty torr, and the initial volume is three point eight liters.

The final pressure increases to six hundred seventy torr.

Important note: when working with gas laws, temperature must always be in Kelvin. To convert from Celsius to Kelvin, we add two hundred seventy-three point fifteen.

So, our initial temperature of twenty degrees Celsius becomes two hundred ninety-three point fifteen Kelvin.

And the final temperature of fifty degrees Celsius becomes three hundred twenty-three point fifteen Kelvin.

Now, we rearrange the Combined Gas Law formula to isolate the final volume, V sub two.