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
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:


w=-PΔV


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)


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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?

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