Exercise 3 A heat engine exhausts its heat at 340 °C and has a Carnot efficiency of 38 % What exhaust temperature would enable it to achieve a Carnot efficiency of 45 %.

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7:23 P
Exercise 3
A heat engine exhausts its heat at 340 °C and has a Carnot efficiency of 38
% What exhaust temperature would enable it to achieve a Carnot efficiency
of 45 %.
Exercise 4
A Carnot cycle, shown in Fig. (3) has the following condilions: V, = 7.5 L,
V, = 15 L, TH = 470 °C, and T, = 260 °C. The gas used in the cycle is 0.50
mol of a diatomic gas, y = 1.4. Calculate (a) the pressures at a and b; (b)
The volumes at c and d. (c) What is the work done along process ab? (d)
What is the heat lost along process ed? (d) Calculate the net work done for
the whole cycle. (e) What is the efficiency of the cycle, using the definition
e = W/QH? Show that this is the same as given by e = 1- .
Exercise 5
One mole of monatomic gas undergoes a Carnot cycle with TH = 350 °C and
T = 260 °C. The initial pressure is 8.8 atm. During the isothermal expan-
sion, the volume doubles. (a) Find the values of the pressure and volume
at the points a, b, c and d (see Fig. (3)). (b) Determine Q, W and AEnt
TH
d
Figure 3: Carnot Cycle
For each segment of the cycle. (c) Calculate the efficiency of the cycle using
e = 1- , and e = 1 - .
Exercise 6
The PV diagram shown in Fig. (4)) applies to 2.1 moles of an ideal diatomic
gas. (a) calculate the temperature at all points. (b) calculate the heat
transferred in path AB, BC, CD and DA. (c) Determine the net heat
absorbs by the systems. (d) The net work done by the gas and the change in
internal energy for the complete cycle. Determine the total heat input QH
and the total heat exhausted Q, during the cycle. (e) What is the efficiency
of this cycle?
P(atm)
B
40
10
50
V (L)
Figure 4: Exercice 6
Exercise 7
3
Transcribed Image Text:7:23 P Exercise 3 A heat engine exhausts its heat at 340 °C and has a Carnot efficiency of 38 % What exhaust temperature would enable it to achieve a Carnot efficiency of 45 %. Exercise 4 A Carnot cycle, shown in Fig. (3) has the following condilions: V, = 7.5 L, V, = 15 L, TH = 470 °C, and T, = 260 °C. The gas used in the cycle is 0.50 mol of a diatomic gas, y = 1.4. Calculate (a) the pressures at a and b; (b) The volumes at c and d. (c) What is the work done along process ab? (d) What is the heat lost along process ed? (d) Calculate the net work done for the whole cycle. (e) What is the efficiency of the cycle, using the definition e = W/QH? Show that this is the same as given by e = 1- . Exercise 5 One mole of monatomic gas undergoes a Carnot cycle with TH = 350 °C and T = 260 °C. The initial pressure is 8.8 atm. During the isothermal expan- sion, the volume doubles. (a) Find the values of the pressure and volume at the points a, b, c and d (see Fig. (3)). (b) Determine Q, W and AEnt TH d Figure 3: Carnot Cycle For each segment of the cycle. (c) Calculate the efficiency of the cycle using e = 1- , and e = 1 - . Exercise 6 The PV diagram shown in Fig. (4)) applies to 2.1 moles of an ideal diatomic gas. (a) calculate the temperature at all points. (b) calculate the heat transferred in path AB, BC, CD and DA. (c) Determine the net heat absorbs by the systems. (d) The net work done by the gas and the change in internal energy for the complete cycle. Determine the total heat input QH and the total heat exhausted Q, during the cycle. (e) What is the efficiency of this cycle? P(atm) B 40 10 50 V (L) Figure 4: Exercice 6 Exercise 7 3
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