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:

scientific laws are the result of testing theories and proving them to be facts.

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this