The Molar Specific Heat (internal energy)

AI Thread Summary
The discussion focuses on calculating the change in internal energy for one mole of an ideal diatomic gas transitioning along a diagonal path. The key equation for internal energy, ΔU = n*Cv*ΔT, is highlighted as essential for solving the problem. Participants emphasize the need to determine the temperature change between points a and c, the specific heat capacity (Cv), and the number of moles (n). Additionally, the relationship U = Q - W is mentioned for finding work done and total heat entering the system, with a reference to the P-V diagram for visualizing work. The conversation underscores the interconnectedness of these thermodynamic concepts in solving the problem.
rey242
Messages
40
Reaction score
0

Homework Statement


One mole of an ideal diatomic gas undergoes a transition from. a to c along the diagonal path
What is the change in internal energy?

Homework Equations





The Attempt at a Solution



I've tried to use the two other paths since the internal energy is the same both ways, but I can't see anyway to reconcile the two.
 

Attachments

  • Capture.JPG
    Capture.JPG
    9 KB · Views: 482
Physics news on Phys.org
What is the equation for internal energy of an ideal gas, in terms of its temperature?
 
\DeltaU=n*Cv*\DeltaT
 
You can use that equation to solve this problem. You just need:

1. the temperature change between points a and c
2. Cv
3. n
 
I figured it out... but now I need to find the work done and the total heat entered into the system. I know it has to do with
U=Q-W

and the use of the other path(ABC).
 
Yes, you'll need that equation (U=Q-W). You can also use the fact that W is the area under the curve in the P-V diagram.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top