A gas contained within a piston-cylinder assembly undergoes three processes in series.
a. Process 1-2: Constant volume from p1 = 1 bar, v1 = 4 m3 to state 2, where p2 = 2 bar.
b. Process 2-3: Compression to v3 = 2 m3, during which the pressure-volume relationship is pV = constant.
c. Process 3-4: Constant pressure to state 4, where v4 = 1 m3.
d. Sketch the processes in series on p-V coordinates and evaluate the work for each process, in kJ.

a.

b.

c.

Explanation:

Given:

pressure at point 1,

pressure at point 2,

volume at point 1,

volume at point 3,

volume at point 2,  

pressure at point 2,

volume at point 4,

a.

Work done in process 1-2:

Being isochoric process:

and

so,

b.

Now we apply the ideal gas equation for the process 2-3:

Now work done in an isothermal process:

-ve means work is consumed by the system

c.

Now for the isobaric process 3-4 we apply the ideal gas law:

Since the process is isobaric so,

Now the work done:

i think the answer is a, hope this : )

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.