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
Messages
13
Reaction score
0
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.

--------------------
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
 
Physics news on Phys.org

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Closed cycle of an ideal gas
Replies
3
Views
1K
Volume-pressure equation for an expanding ideal gas
Replies
10
Views
1K
Calculating ΔE Difference for 2 Samples of Monatomic Ideal Gas
Replies
4
Views
2K
Ideal Gas Law and Pressure at 80°C
Replies
2
Views
3K
Internal Energy of an Ideal Gas
Replies
4
Views
2K
What Is the Highest Temperature Reached in the Ideal Gas Cycle?
Replies
4
Views
3K
Calculating Work Done by Gas at Constant Pressure
Replies
2
Views
2K
Change in entropy of an ideal gas during thermodynamic cycle
Replies
1
Views
2K
Finding the pressure of a gas in three identical balloons
Replies
12
Views
2K
PV Diagram of Ideal Monatomic Gas Processes
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top