Need Help Solving for Work Done: 60,000 J

In summary: L In summary, the question is about finding the correct amount of work done in a gas compression process and the correct answer is 60,000 J according to the book. The conversation discusses various calculations and conversions, ultimately leading to the realization that the conversion factor may be approximated as 1:100. Therefore, the original calculation of work done by the gas on the surroundings is corrected to 3.5 atm and the answer is very close to the expected 60,000 J.
  • #1
JFS321
75
6
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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  • #2
For A-->C, why did you use 3atm? Shouldn't it be the average pressure?
 
  • #3
units for pressure should be Pa and units for volume should be m3
 
  • #4
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.
 
  • #5
Yes, it should be 3.5 atm and this gets me very close to the 60,000 J answer. Thank you.
 
  • #6
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
 

FAQ: Need Help Solving for Work Done: 60,000 J

What is work done?

Work done is the measure of the amount of energy transferred to an object as a result of a force acting on it over a certain distance.

How do you calculate work done?

Work done can be calculated by multiplying the force applied to an object by the distance it moves in the direction of the force. The formula for work done is W = F * d.

What is the unit of measurement for work done?

The unit of measurement for work done is joules (J). This is equivalent to one newton (N) of force applied over one meter (m) of distance.

How do you solve for work done when given the force and distance?

To solve for work done when given the force and distance, simply plug in the values into the formula W = F * d and calculate the product. In this case, the work done would be 60,000 J.

Why is work done an important concept in science?

Work done is an important concept in science because it helps us understand the amount of energy being transferred to an object and the effects of forces acting on it. It is also a necessary factor in understanding concepts such as power and energy conservation.

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