An insulated spring-loaded piston/cylinder device, shown in Fig. P4.96, is connected to an air line flowing air at 600 kPa and 700 K by a valve. Initially, the cylinder is empty and the spring force is zero. The valve is then opened until the cylinder pressure reaches 300 kPa. Noting that u 2 = u line + C v ( T 2 − T line ) and h line − u line = R T line find an expression for T, as a function of P,, P0, and T. With P 0 = l00 kPa , find T 2 .
An insulated spring-loaded piston/cylinder device, shown in Fig. P4.96, is connected to an air line flowing air at 600 kPa and 700 K by a valve. Initially, the cylinder is empty and the spring force is zero. The valve is then opened until the cylinder pressure reaches 300 kPa. Noting that u 2 = u line + C v ( T 2 − T line ) and h line − u line = R T line find an expression for T, as a function of P,, P0, and T. With P 0 = l00 kPa , find T 2 .
Solution Summary: The author evaluates the expression for T_2 as a function of the values of P1,p_0 and __-
An insulated spring-loaded piston/cylinder device, shown in Fig. P4.96, is connected to an air line flowing air at 600 kPa and 700 K by a valve. Initially, the cylinder is empty and the spring force is zero. The valve is then opened until the cylinder pressure reaches 300 kPa. Noting that
u
2
=
u
line
+
C
v
(
T
2
−
T
line
)
and
h
line
−
u
line
=
R
T
line
find an expression for T, as a function of P,, P0, and T. With
P
0
=
l00 kPa
, find
T
2
.
4.17.) The volume of a compressible fluid system changes from V, = 1 ft³ to V2 = 5 ft3 during
an internally reversible process in which the pressure varies a p = (100/V + 50) psia when V is in
ft3. (a) For the process find -S Vdp and SpdV. (b) If the process is steady flow with AK = 5 Btu,
AP = -2 Btu and AH = 120 Btu, find the work and heat. (c) If the process is nonflow, find W, Q
and AU.
3. A hydraulic lift is shown below. The combined mass of the piston, rack, and car is 4000 lbm.
The working fluid is water. There is no heat transfer to or from the water, and the internal energy
of the water per unit mass is constant. The water may be considered incompressible.
(a) Taking all the water in the reservoir, line, and hydraulic cylinder as the system (i.e., taking
the closed-system approach), calculate the work necessary to raise the rack and car 1 ft (neglect
the change in potential energy of the water in the system).
(b) Repeat part (a), taking all the water plus the car and the rack as the system.
(c) Repeat part (a), taking an open-system approach; choose as your system the volume of the
hydraulic cylinder, excluding the piston, rack, and car. If the absolute pressure in the system is
1000 lbf/in², calculate the volume that must flow in to raise the car 1 ft.
Reservoir
Pump
Hydraulic
cylinder
I am getting lost in this practice problem for thermodynamics - thank you!
Air at 100 kPa and 280K is compressed steadily to 600 kPa and 400K in an air compressor. The mass flow rate of air through the compressor is 0.02 kg/s and the compressor a heat loss of 16 kJ/kg from the compressor occurs. Assuming steady state steady flow conditions and ideal gas behavior (with constant specific heats, Cp=1.009 kJ/kgK, R=0.287 kJ/kgK, determine:
a) The necessary power in put to the compressor(kW).b) The volumetric flow rate of air at the exit of the compressor (m3/s).
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