a) Consider a process involving an ideal diatomic gas with n = 3mol, following p = aV, where р a =1x 10° Pa/m³ is a constant. The gas ex- pands from volume V; = 1 m³ to V; = 4m³. P2 Find the (i) work done on the gas. (ii) heat entering the gas. 1 (iii) change in the internal energy of the gas. 2 b) Now consider the cycle depicted in the figure, involving the same amount of gas as in the previous part. A → B is the process described in the previous subtask, B → C an isochor and C → A an isobar. Additionally, V2/V1 = n = 4 and Vi = 1 m³. Find the C Pi 3 ! i) work done by the gas during one loop of the cycle. Vị V2 V ii) thermal efficiency of the cycle. iii) maximum theoretical efficiency of a Car- not cycle having the same temperature extrema as in this cycle. iv) coefficient of performance of the cycle, if it were used as a refrigerator .

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Part b only

a) Consider a process involving an ideal diatomic
gas with n = 3mol, following p = aV, where
a = 1 x 105 Pa/m³ is a constant. The gas ex-
pands from volume V; = 1 m³ to V; = 4m3.
P2
Find the
(i) work done on the gas.
(ii) heat entering the gas.
1
(iii) change in the internal energy of the gas.
b) Now consider the cycle depicted in the figure,
involving the same amount of gas as in the
previous part. A → B is the process described
in the previous subtask, B → C an isochor and
C → A an isobar. Additionally, V2/V1 = n = 4
and Vi = 1 m³. Find the
Pi
3
i) work done by the gas during one loop of
the cycle.
V1
V2
V
ii) thermal efficiency of the cycle.
iii) maximum theoretical efficiency of a Car-
not cycle having the same temperature
extrema as in this cycle.
iv) coefficient of performance of the cycle, if
it were used as a refrigerator .
Transcribed Image Text:a) Consider a process involving an ideal diatomic gas with n = 3mol, following p = aV, where a = 1 x 105 Pa/m³ is a constant. The gas ex- pands from volume V; = 1 m³ to V; = 4m3. P2 Find the (i) work done on the gas. (ii) heat entering the gas. 1 (iii) change in the internal energy of the gas. b) Now consider the cycle depicted in the figure, involving the same amount of gas as in the previous part. A → B is the process described in the previous subtask, B → C an isochor and C → A an isobar. Additionally, V2/V1 = n = 4 and Vi = 1 m³. Find the Pi 3 i) work done by the gas during one loop of the cycle. V1 V2 V ii) thermal efficiency of the cycle. iii) maximum theoretical efficiency of a Car- not cycle having the same temperature extrema as in this cycle. iv) coefficient of performance of the cycle, if it were used as a refrigerator .
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