What is the formula for calculating nett work done in a thermodynamic cycle?

  • Thread starter Thread starter Wen
  • Start date Start date
  • Tags Tags
    Thermodynamic
AI Thread Summary
The discussion focuses on calculating the net work done in a thermodynamic cycle involving an ideal gas with two isobaric and two isothermal processes. The formula for net work done is proposed as W = P1(V2 - V1)ln(P2/P1). Participants clarify that the work done during the isothermal processes is represented by nRTln(Vf/Vi), while the isobaric processes contribute to the overall work. The challenge lies in determining the gas volumes at points B and D, which are necessary for completing the calculation. The conversation emphasizes the need for a clearer understanding of the relationships between pressure, volume, and temperature in the cycle.
Wen
Messages
44
Reaction score
0
An ideal gas is carried through a thermodynamic cycle consisting of 2 isobaric and 2 isothermal processes.

Show that the nett work done is

W=P1( V2-V1)ln ( P2/P1)

i am really stuck at this qn for very long. Please help me
 

Attachments

  • P1010218.jpg
    P1010218.jpg
    19.6 KB · Views: 602
Physics news on Phys.org
I assume that you mean you have been working on it for a long time! Show us what you think you do understand about the problem and what work you have already done.
 
i know that Work done by the gas is
nRTIn( Vf/Vi) and this is only for the two isothermal processes
Since BC and DA are isobaric, the 2 isothermal processes are AB and CD.
The nett work done is the shaded area in the diagram.
But i do not know the volume of the gas at B & D.
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Correct statement about a reservoir with an outlet pipe'

Thread 'Correct statement about a reservoir with an outlet pipe'

The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
View full post »

Similar threads

To find total work done from multiple reversible processes
Replies
3
Views
2K
Net heat in a thermodynamic cycle
Replies
2
Views
1K
Thermodynamics: gas expansion formula or approximation error?
Replies
2
Views
1K
Closed cycle of an ideal gas
Replies
3
Views
1K
Efficiency of Stirling Cycle - Is it the same as the Carnot Engine?
Replies
14
Views
1K
Work done BY the gas in a cyclic thermodynamic process
Replies
2
Views
2K
Thermodynamics: find the change of internal energy, the work and Q
Replies
10
Views
2K
Change in entropy of an ideal gas during thermodynamic cycle
Replies
1
Views
2K
Work done in thermodynamic process
Replies
18
Views
5K
Thermodynamic Cycle -- Work done as a function of Heat absorbed
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top