General Chemistry I

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A sample of gas occupies a volume of 59.9 mL. As it expands, it does 126.2 J of work on its surroundings at a constant pressure of 798 torr. What is the final volume of the gas?

a. 61.1 mL
b. 1,250 mL
c. 218 mL
d. 1,490 mL
e. None of the above

I used the work function w = -PΔV and I performed the following conversions:

-126.6 J = -1.2458 L*atm
798 torr = .9524 atm

I plugged these values in to the equation:

-1.2458 L*atm = (.9524 atm)(ΔV)
ΔV = 1.30806 L

I then added the original volume of 59.9 mL to this value to get around 1,367 mL for the final volume, but this is apparently incorrect. I found if I subtracted 59.9 mL from 1.30806 L I got the correct answer, but I didn't know if this was the proper way to reach the answer.

So long story short, is subtracting the value of the original volume from ΔV correct, and if so, why?

  • General Chemistry I -

    And according to this solution I have here the correct answer is b. 1,250 mL~

  • General Chemistry I -

    Never mind, I just found my error; I incorrectly converted between Torr and atm, I should've gotten 1.05 atm instead.

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