3.5. During a quasi-static expansion of a gas in an adiabatic container, the pressure at any moment is given by the equation PV^ = K, where y and K are constants. Show that the work done in expanding from a state (Pi, Vi) to a state (Pf, V5) is P:V; – P;V5 y - 1 W If the initial pressure and volume are 106 Pa and 10-3 m³, respectively, and the final values are 2 x 10° Pa and 3.16 × 10-3 m³, respectively, how much work is done on a gas having y = 1.4?
3.5. During a quasi-static expansion of a gas in an adiabatic container, the pressure at any moment is given by the equation PV^ = K, where y and K are constants. Show that the work done in expanding from a state (Pi, Vi) to a state (Pf, V5) is P:V; – P;V5 y - 1 W If the initial pressure and volume are 106 Pa and 10-3 m³, respectively, and the final values are 2 x 10° Pa and 3.16 × 10-3 m³, respectively, how much work is done on a gas having y = 1.4?
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![3.5. During a quasi-static expansion of a gas in an adiabatic container, the pressure at any
moment is given by the equation
PV = K,
where y and K are constants. Show that the work done in expanding from a state
(Pi, Vi) to a state (P5, V5) is
P;V¡ – P¡V5
W
= -
If the initial pressure and volume are 106 Pa and 10-3 m³, respectively, and the final
values are 2 x 10° Pa and 3.16 × 10-3 m³, respectively, how much work is done on a
gas having y = 1.4?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc226482d-d4c0-4bca-a375-66b46551d749%2Fd1159a2b-f0d1-47c6-bc6a-fd454c5d59b5%2Fex7hurq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.5. During a quasi-static expansion of a gas in an adiabatic container, the pressure at any
moment is given by the equation
PV = K,
where y and K are constants. Show that the work done in expanding from a state
(Pi, Vi) to a state (P5, V5) is
P;V¡ – P¡V5
W
= -
If the initial pressure and volume are 106 Pa and 10-3 m³, respectively, and the final
values are 2 x 10° Pa and 3.16 × 10-3 m³, respectively, how much work is done on a
gas having y = 1.4?
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