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 to2.8 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 2.8 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 to2.8 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 2.8 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) Amount of workdone by the gas when expanded from a volume of1.0 L to 2.8 L at a constant pressureof 2.9 atm is               W1 = PdV                       =(2.9 atm)(2.8L - 1.0L)                      = (2.9)(1.013*105Pa)(1.8L)                      =(2.9)(1.013*105Pa)(1.8*10-3m3) b) When the gas undegoes the process at constant volume, then theworkdone by the system is zero. So   W2 = 0 J c) When the gas is then compressed at a constant pressure of2.0 atm from a volume of 2.8 L to 1.0 L is              W3 = PdV                    = (2.0atm)(1.0L - 2.8L)                    =(2.0)(1.013*105Pa)(-1.8*10-3m3) d) When the gas undegoes the process at constant volume, then theworkdone by the system is zero. So   W4 = 0 J e) Total workdone is W = W1 + W2 +W3 + W4 Do all the calculation work. Do all the calculation work.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.