Ideal Gas Cycle: N2 Undergoing abcd w/ Varying Pressures

AI Thread Summary
The discussion focuses on a thermodynamic cycle involving two moles of N2 gas undergoing the abcd cycle with specified pressures and volumes. The pressures are 5500 Pa for states A and D, and 1500 Pa for states B and C, while the volumes are 1.80 m^3 for A and B, and 8.70 m^3 for C and D. The initial approach to calculate the total work done incorrectly treated the isochoric processes as having no work done, leading to an incomplete calculation. The correct work was determined by considering the work done during the expansion from B to C. Ultimately, the original poster found the solution through a previously shared resource.
Luis2101
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Two moles of N2 gas undergo the cycle abcd. The pressure of the gas in each state is
pa = pd = 5500 Pa;

pb = pc = 1500 Pa.


Note that 5500 Pa > 1500 Pa. The volume of the gas in each state is
Va = Vb = 1.80m^3 ;

Vc = Vd = 8.70m^3.

Note that 8.70 m^3 > 1.80 m^3. The gas may be treated as ideal.

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Part A asks: Find the magnitude of the total work done on (or by) the gas in the complete cycle.

I tried to approach the problem in the following manner and got an incorrect answer for Part A.

I treated the process from A->B, as well as from C->D as Isochoric since Volume is constant, and said no work was done.

I then calculated the work from B->C:
Using: W = p(deltaV) = 1500 (8.7-1.8) = 10,350J.

I said this was the total work done, but it's not...
Any help would be greatly appreciated.

-Luis
 
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