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:
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)
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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