Air contained in a piston-cylinder assembly, initially at 2 bar, 200 k, and a volume of 1 l, undergoes a process to a final state where the pressure is 7.5 bar and the volume is 2 l. during the process, the pressure-volume relatlonshlp is linean assuming the ideal gas model for the alr, determine the work and heat transfer, each in kj

Work transfer W =0.475 kJ

Heat transfer Q=3.68 KJ

Explanation:

At initial condition:

At final condition:

Given that pressure -volume follows linear relationship and we know that work for closed system if given as

It means that are of P-v diagram will us work in that process.So we will find the are of  P-v diagram.

Now from P-v diagram

Area =

       =

        =0.475 KJ

So Work transfer W =0.475 kJ

If we assume that air is ideal gas   PV=mRT

From first law of thermodynamics

      (For ideal gas U=)

For mass

So heat transfer Q=3.68 KJ

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explanation: