Well, let's gasp for answers, shall we? According to the good ol' work formula, work = pressure x change in volume. In this case, we know that work is 135.0 J and pressure is 783 torr.
Now, we just need to rearrange the formula to solve for the change in volume: change in volume = work / pressure. Plugging in the numbers, we get change in volume = 135.0 J / 783 torr.
However, we can't stop there! We need to convert the pressure from torr to liters, and 783 torr is approximately equal to 1 atm. So, changing the pressure to 1 atm, we can say that change in volume = 135.0 J / 1 atm.
Finally, we look to convert the volume from mL to liters. Since 1 L = 1000 mL, the initial volume of 73.1 mL is equal to 0.0731 L.
Now, we can calculate the final volume by adding the initial volume to the change in volume: final volume = 0.0731 L + (135.0 J / 1 atm). And there you have it, my friend!