A metallic container of fixed volume of 2.5 × 10 − 3 m 3 immersed in a large tank of temperature 27 ℃ contains two compartments separated by a freely movable wall. Initially, the wall is kept in place by a stopper so that there are 0.02 mol of the nitrogen gas on one side and 0.03 mol of the oxygen gas on the other side, each occupying half the volume. When the stopper is removed, the wall moves and comes to a final position. The movement of the wall is controlled so that the wall moves in infinitesimal quasi-static steps. (a) Find the final volumes of the two sides assuming the ideal gas behavior for the two gases. (b) How much work does each gas do on the other? (c) What is the change in the internal energy of each gas? (d) Find the amount of heat that enters or leaves each gas.
A metallic container of fixed volume of 2.5 × 10 − 3 m 3 immersed in a large tank of temperature 27 ℃ contains two compartments separated by a freely movable wall. Initially, the wall is kept in place by a stopper so that there are 0.02 mol of the nitrogen gas on one side and 0.03 mol of the oxygen gas on the other side, each occupying half the volume. When the stopper is removed, the wall moves and comes to a final position. The movement of the wall is controlled so that the wall moves in infinitesimal quasi-static steps. (a) Find the final volumes of the two sides assuming the ideal gas behavior for the two gases. (b) How much work does each gas do on the other? (c) What is the change in the internal energy of each gas? (d) Find the amount of heat that enters or leaves each gas.
A metallic container of fixed volume of
2.5
×
10
−
3
m3 immersed in a large tank of temperature 27 ℃ contains two compartments separated by a freely movable wall. Initially, the wall is kept in place by a stopper so that there are 0.02 mol of the nitrogen gas on one side and 0.03 mol of the oxygen gas on the other side, each occupying half the volume. When the stopper is removed, the wall moves and comes to a final position. The movement of the wall is controlled so that the wall moves in infinitesimal quasi-static steps. (a) Find the final volumes of the two sides assuming the ideal gas behavior for the two gases. (b) How much work does each gas do on the other? (c) What is the change in the internal energy of each gas? (d) Find the amount of heat that enters or leaves each gas.
The shear leg derrick is used to haul the 200-kg net of fish onto the dock as shown in. Assume the force in each leg acts along
its axis.
5.6 m.
4 m-
B
Part A
Determine the compressive force along leg AB.
Express your answer to three significant figures and include the appropriate units.
FAB =
Value
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Part B
Units
?
Determine the compressive force along leg CB.
Express your answer to three significant figures and include the appropriate units.
FCB=
Value
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Part C
?
Units
Determine the tension in the winch cable DB.
Express your answer with the appropriate units.
2m
Part A
(Figure 1) shows a bucket suspended from a cable by means of a small
pulley at C.
If the bucket and its contents have a mass of 10 kg, determine the location of the pulley for equilibrium. The cable is 6 m long.
Express your answer to three significant figures and include the appropriate units.
Figure
4 m
B
НА
x =
Value
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1 of 1
T
1 m
Units
?
The particle in is in equilibrium and F4 = 165 lb.
Part A
Determine the magnitude of F1.
Express your answer in pounds to three significant figures.
ΑΣΦ
tvec
F₁ =
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Part B
Determine the magnitude of F2.
Express your answer in pounds to three significant figures.
ΑΣΦ
It vec
F2 =
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Part C
Determine the magnitude of F3.
Express your answer in pounds to three significant figures.
?
?
lb
lb
F₂
225 lb
135°
45°
30°
-60°-
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