Sketch a PV diagram and find the work done by the gasduring the following stages

Question

Sketch a PV diagram and find the work done by the gasduring the following stages. (Draw the PV diagram onpaper. Your instructor may ask you to turn in this work.) (a) A gas is expanded from a volume of 1.0 L to3.5 L at a constant pressure of2.9 atm.
1 J

(b) The gas is then cooled at constant volume until the pressurefalls to 2.0 atm.
2 J

(c) The gas is then compressed at a constant pressure of2.0 atm from a volume of 3.5 L to 1.0 L. (Note: Be careful ofsigns.)
3 J

(d) The gas is heated until its pressure increases from2.0 atm to 2.9 atm at a constant volume.
4 J

(e) Find the net work done during the complete cycle.
5 J (a) A gas is expanded from a volume of 1.0 L to3.5 L at a constant pressure of2.9 atm.
1 J

(b) The gas is then cooled at constant volume until the pressurefalls to 2.0 atm.
2 J

(c) The gas is then compressed at a constant pressure of2.0 atm from a volume of 3.5 L to 1.0 L. (Note: Be careful ofsigns.)
3 J

(d) The gas is heated until its pressure increases from2.0 atm to 2.9 atm at a constant volume.
4 J

(e) Find the net work done during the complete cycle.
5 J

Explanation / Answer

. (a) W done by the gas,           W =p(V2 -V1) = 2.9x101.3x103x2.5.x10-3              = +734.425 J (b) W done by the gas,           W =p(V2 -V2) = 0 (c)W done by the gas,           W =p(V1 -V2) = 2.0 x101.3x103x-2.5x10-3              = -506.5J (d)W done by the gas,           W =p(V1-V1) = 0 (e)Net work done by the gas,        W =734.425+0-506.5 + 0 = 227.9 J .              = +734.425 J (b) W done by the gas,           W =p(V2 -V2) = 0 (c)W done by the gas,           W =p(V1 -V2) = 2.0 x101.3x103x-2.5x10-3              = -506.5J (d)W done by the gas,           W =p(V1-V1) = 0 (e)Net work done by the gas,        W =734.425+0-506.5 + 0 = 227.9 J .           W =p(V2 -V2) = 0 (c)W done by the gas,           W =p(V1 -V2) = 2.0 x101.3x103x-2.5x10-3              = -506.5J (d)W done by the gas,           W =p(V1-V1) = 0 (e)Net work done by the gas,        W =734.425+0-506.5 + 0 = 227.9 J .           W =p(V1 -V2) = 2.0 x101.3x103x-2.5x10-3              = -506.5J (d)W done by the gas,           W =p(V1-V1) = 0 (e)Net work done by the gas,        W =734.425+0-506.5 + 0 = 227.9 J .              = -506.5J (d)W done by the gas,           W =p(V1-V1) = 0 (e)Net work done by the gas,        W =734.425+0-506.5 + 0 = 227.9 J . .

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