Agas in a piston-cylinder asscmbly undcrgocs a process for which the rclationship bctwcen pressurc and volumc is pv^2=constant the initial pressurc is 1 bar, the initial volume is 0.4 m^3, and the final pressure is 9 bar. determine the work for the process, in kj constant.

Given:

= constant                                   (1)

⇒          (2)

Solution:

Here, from eqn (1),  the polytropic constant is '2' ( Since, here = )

Now, using eqn (2), we get

putting the values in above eqn, we get-

Now, work for the process is given by:

                 (3)

where,

n = potropic constant = 2

Using Eqn (3), we get:

W = - 240 kJ  

answer:

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