Determine net work done:

5m³ of air at 2bar, 27⁰C is compressed to 6bar pressure following PV^1.3  = constant. It is expanded subsequently adiabatically to 2 bar. Considering two processes to be reversible, determine net work done, and also plot the processes on T - S diagrams.                                                                                                                                        

Sol:  V₁ = 5m³, P₁  = P₃ = 2bar, P₂  = 6bar, and n = 1.3

V₂ = V₁(P₁/P₂)1/1.3  = 5(2/6)1/1.3  = 2.147m3

Thus work done during process 1 - 2 is W1-2

= (P₂V₂  - P₁V₁)/(1- n)

= (6 × 105  × 2.47 - 2 x 10⁵  × 5)/(1-1.3) = - 9.618 × 10⁵  J

Likewise to obtain work done during processes 2 - 3, we apply

W_2-3 = (P₃V₃  - P₂V₂)/(1 -   ); where      = 1.4

And V₃ = V₂(P₂/P₃)1/   = 2.147(6/2)^1/1.4  = 4.705m³

 

Posted Date: 10/15/2012 9:03:18 AM | Location : United States

Ask an Expert

Related Discussions:- Determine net work done, Assignment Help, Ask Question on Determine net work done, Get Answer, Expert's Help, Determine net work done Discussions

Write discussion on Determine net work done
Your posts are moderated

Write your message here..

Related Questions

Shipping of steel pipes, Q. Shipping of steel pipes? Pipe will be trans... Q. Shipping of steel pipes? Pipe will be transported from the coating yard to the job site as specified in the Purchaser Order. The Applicator will ensure that the pipe has suf

Communication , is effective communication an integral aspect in the mechan... is effective communication an integral aspect in the mechanical engineering field?

Forces, what are the practical applications and use of finding uniform dist... what are the practical applications and use of finding uniform distributed load, concentrated point load, inclined point load, roller supported beam.

Numerical problems based on the cantilever beam, Numerical Problems Based o... Numerical Problems Based on the Cantilever Beam: Draw the SF and BM diagram for the beam as shown in the figure given below. Also indicate principal values on diagrams.

Centre of gravity and moment of inertia, Centre of Gravity and Moment of In... Centre of Gravity and Moment of Inertia: -  For a uniform plate of mass M, the overall mass may be divided into individual masses M i for which centre of gravity is known as

Explain the 3-2-1 principle of location, Explain the 3-2-1 Principle of Loc... Explain the 3-2-1 Principle of Location A work piece can be positively located by means of 6 pins so positioned that collectively they restrict the work piece in nine of it

Force analysis of spure gear (gear and pinion), how can analysis the force ... how can analysis the force analysis of spur gear subjected to a force of 1818.65 newton on the shaft of the gear?

Calculate the probable wall thickness of the tank, The background for the o... The background for the oil storage tank failure is as follows: the tank involved was a four million gallon circular tank that was built in 1940 for Ashland Oil Company in Cleveland

Determine maximum extraordinary effect, Maximum Extraordinary Effect De... Maximum Extraordinary Effect Determine the direction of propagation in quartz (ne = 1.553 and no = 1.544) at which the angle between the wave vector k and the Poynting vector S

Aeronautical engineering, Aeronautical engineering is a branch of aerospace... Aeronautical engineering is a branch of aerospace engineering, thus some people use the 2 terms interchangeably. It is also sometimes considered that aeronautical engineering cover