Calculating work output of an engine, using ideal gas

AI Thread Summary
The discussion revolves around calculating the work output of a Stirling engine using ideal gas principles. The engine operates with a specific amount of gas and temperature differences between reservoirs, requiring the calculation of heat input (Qh) and heat output (Qc). Participants express confusion about how to derive Qh and Qc from the given data and emphasize the importance of understanding the problem's requirements. Suggestions include drawing a PV diagram to visualize the Stirling cycle, which could aid in solving the problem. Clarification on the specific calculations needed is sought to proceed effectively.
lagwagon555
Messages
59
Reaction score
1

Homework Statement



A model Stirling engine uses n = 8.04 × 10–3 mol of gas (assumed to be ideal) as a working substance. It operates between a high temperature reservoir at TH = 98.0 °C and a low temperature reservoir at Tc = 25.0 °C. The volume of its working substance doubles during each expansion stroke. It runs at a rate of 0.7 cycles per second. Assume the engine is ideal.

How much work does the engine do per cycle?

Homework Equations



W(eng) = Qh - Qc

The Attempt at a Solution



I assume that you have to find the energy input and output by using the temperatures, and the mol of gas, taking into account it's an ideal gas. However, taking the first step is the problem. I have no clue how to work out Qh and Qc, from the given data. Or perhaps there's some other way you have to solve it?
 
Last edited:
  • Like
Likes Intuon Theerapong
Physics news on Phys.org
What does the problem actually ask you to calculate? You don't seem to have included that in the problem statement... does it actually say you need to find the energy input and output, or are you just guessing at that?
 
I can't believe I forgot to put that question in. I edited the original - sorry about that.
 
Have you drawn the PV diagram for an idealized Stirling cycle? If not, that would help with figuring out what's going on.
 
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 '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