Sketch a PV diagram and find the work done bythe gas during the following stages

Question

Sketch a PV diagram and find the work done bythe gas during the following stages. (Drawthe PV diagram on paper. Your instructor may askyou to turn in this work.) (a) A gas is expanded from a volume of 1.0 L to 2.6 L at a constant pressureof 3.1 atm.
J

(b) The gas is then cooled at constant volume until the pressurefalls to 1.8 atm.
J

(c) The gas is then compressed at a constant pressureof 1.8 atm from a volumeof 2.6 L to 1.0 L.(Note: Be careful of signs.)
J

(d) The gas is heated until its pressure increasesfrom 1.8 atmto 3.1 atm at a constantvolume.
J

(e) Find the net work done during the complete cycle.
J (a) A gas is expanded from a volume of 1.0 L to 2.6 L at a constant pressureof 3.1 atm.
J

(b) The gas is then cooled at constant volume until the pressurefalls to 1.8 atm.
J

(c) The gas is then compressed at a constant pressureof 1.8 atm from a volumeof 2.6 L to 1.0 L.(Note: Be careful of signs.)
J

(d) The gas is heated until its pressure increasesfrom 1.8 atmto 3.1 atm at a constantvolume.
J

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

Explanation / Answer

(a) W done by the gas,

          W =p(V2 -V1) = 3.1 x 101.3x103x1.6.x10-3

             = +502.448 J

(b) W done by the gas,

          W =p(V2 -V2) = 0

(c)W done by the gas,

          W =p(V1 -V2) = 1.8 x101.3x103x-2.6x10-3

             = -474.084 J

(d)W done by the gas,

          W =p(V1-V1) = 0

(e)Net work done by the gas,

       W = 502.448+0-474.084+ 0 = 28.364 J

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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