Work Done on Thermodynamic Path ABCA: 5625 J

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    Thermodynamic Work
AI Thread Summary
The discussion revolves around calculating the work done during a thermodynamic process along the path ABCA, specifically from point C to A. The initial assumption is that the work can be determined by finding the area under the curve, interpreted as a trapezoid, resulting in a value of 5625 J. However, it is clarified that the sign of the work must be considered based on whether the gas is doing work or work is being done on the gas. Since the volume decreases during this segment, the work done by the gas is negative. The conversation emphasizes the importance of understanding the direction of work in thermodynamic calculations.
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Homework Statement


The pressure and volume of a gas are changed along a path ABCA in the figure. The vertical divisions on the graph represent 2.5 multiplied by 105 Pa, and the horizontal divisions represent 1.5 multiplied by 10-3 m3. Determine the work done (including algebraic sign) in each segment of the path.
cj6_p15-10alt.gif



(c) C to A
J

The Attempt at a Solution


Isn't it just the area under the curve from C to A? Area of a trapezoid? 5625 J?
 
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keemosabi said:

The Attempt at a Solution


Isn't it just the area under the curve from C to A? Area of a trapezoid? 5625 J?
Not quite. Is work being done by the gas or on the gas? What does this do to the sign of the area/work?

AM
 
Andrew Mason said:
Not quite. Is work being done by the gas or on the gas? What does this do to the sign of the area/work?

AM
Ahh. I see. Since the volume is decreasing the work done by the gas is negative.

Thank you for the help.
 
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