# Problem: A sample of gas occupies a volume of 51.1 mL. As it expands, it does 137.7 J of work on its surroundings at a constant pressure of 783 torr.What is the final volume of the gas?

###### FREE Expert Solution

We’re being asked to calculate the final volume for a system if it expands from a volume of 51.1 mL against a constant pressure of 783 torr, doing 137.7 J of work in the process.

Recall that work (w) is given by:

$\overline{){\mathbf{w}}{\mathbf{=}}{\mathbf{-}}{\mathbf{P\Delta V}}}$

where:

P = pressure (in atm)

ΔV = Vfinal – Vinitial = change in volume (in L)

Also note that if work is:

• (+): work is done by the surroundings to the system (compression)

• (–): work is done by the system to the surroundings (expansion)

###### Problem Details

A sample of gas occupies a volume of 51.1 mL. As it expands, it does 137.7 J of work on its surroundings at a constant pressure of 783 torr.

What is the final volume of the gas?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Internal Energy concept. You can view video lessons to learn Internal Energy. Or if you need more Internal Energy practice, you can also practice Internal Energy practice problems.

What is the difficulty of this problem?

Our tutors rated the difficulty ofA sample of gas occupies a volume of 51.1 mL. As it expands,...as medium difficulty.

How long does this problem take to solve?

Our expert Chemistry tutor, Dasha took 5 minutes and 9 seconds to solve this problem. You can follow their steps in the video explanation above.