Need Help Solving for Work Done: 60,000 J

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The correct calculation for work done in the given problem is 60,000 J. The initial calculations included incorrect pressure values and unit conversions. The work done from state C to D was calculated as -81,000 J, and from A to C as 121,200 J, which led to confusion. Adjusting the pressure to 3.5 atm for the A to C transition, along with proper unit conversions, aligns the results with the expected answer of 60,000 J.

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All, I need some direction on the following question, please.
Correct answer is 60,000 J according to book.

Here's what I have so far, but it may be incorrect: Work done C-->D is (2 atm)(-400 L)(101) = -81,000 J, so work was done on the system when the gas was compressed. No work is done D-->A. Lastly, work done A-->C is (3 atm)(400 L)(101) = 121,200 J. This is work done by the gas on the surroundings. As you can see, my figures do not get to 60,000 J! Thanks in advance. Hopefully I haven't done anything too stupidly obvious!
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For A-->C, why did you use 3atm? Shouldn't it be the average pressure?
 
units for pressure should be Pa and units for volume should be m3
 
The conversion was handled with the (101) term.
1 L-atm = 101.325 J
Perhaps the problem assumes a simpler conversion factor of approx. 1:100.
 
Yes, it should be 3.5 atm and this gets me very close to the 60,000 J answer. Thank you.
 
RUber said:
The conversion was handled with the (101) term.
1 L-atm = 101.325 J
Perhaps the problem assumes a simpler conversion factor of approx. 1:100.
RUber said:
The conversion was handled with the (101) term.
1 L-atm = 101.325 J
Perhaps the problem assumes a simpler conversion factor of approx. 1:100.

sorry...I see that the units were taken care of 103 x 10-3
 

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