6.30. A fireman is using a high-pressure stream of water from a hose to combat a raging forest fire. At one end, the hose has an inside diameter of d connected to a high-pressure water reservoir at P1 300 psi. At the other end is a nozzle with diameter d2 3 cm that is exposed to atmospheric pressure P2= 1 atm To a good approximation, flowing water in this process can be modeled as having a 5 cm and is 3 constant temperature and constant mass density p = 1 g/cm = 1,000 kg/m2. incompressible liquid, the following equation well describes Moreover, for an isothermal enthalpy changes: Δh xυΔΡ where v is the volume per mole or molecule (depending (a) How much faster is the velocity of the exiting on the basis of h) water at the nozzle than that of factor (e.g., u2= the entering stream at the reservoir? Express your answer as a 1.5 u1). (b) If the hose is well insulated, find the exit velocity of the stream of water, in m/s. (c) Find the exit volumetric flow rate of water, in gal/s. (d) Instead, you suspect that the hose is not well insulated because you find that the actual, measured exit velocity is 90% of what you calculated in part (b). The inlet velocity, however, remains the same. This suggests that frictional losses result in a dissipation of heat to the environment as the water maintains constant temperature. Find the heat lost in kJ per kg of water

Question

This problem is (6.30) from a book  "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

6.30. A fireman is using a high-pressure stream of water from a hose to combat a raging
forest fire. At one end, the hose has an inside diameter of d
connected to a high-pressure water reservoir at P1 300 psi. At the other end is a
nozzle with diameter d2 3 cm that is exposed to atmospheric pressure P2= 1 atm
To a good approximation, flowing water in this process can be modeled as having a
5 cm and is
3
constant temperature and constant mass density p = 1 g/cm = 1,000 kg/m2.
incompressible liquid, the following equation well describes
Moreover, for an
isothermal enthalpy changes:
Δh xυΔΡ
where v is the volume per mole or molecule (depending
(a) How much faster is the velocity of the exiting
on the basis of h)
water at the nozzle than that of
factor (e.g., u2=
the entering stream at the reservoir? Express your answer as a
1.5 u1).
(b) If the hose is well insulated, find the exit velocity of the stream of water, in m/s.
(c) Find the exit volumetric flow rate of water, in gal/s.
(d) Instead, you suspect that the hose is not well insulated because you find that
the actual, measured exit velocity is 90% of what you calculated in part (b).
The inlet velocity, however, remains the same. This suggests that frictional
losses result in a dissipation of heat to the environment as the water maintains
constant temperature. Find the heat lost in kJ per kg of water

Image Transcription

6.30. A fireman is using a high-pressure stream of water from a hose to combat a raging forest fire. At one end, the hose has an inside diameter of d connected to a high-pressure water reservoir at P1 300 psi. At the other end is a nozzle with diameter d2 3 cm that is exposed to atmospheric pressure P2= 1 atm To a good approximation, flowing water in this process can be modeled as having a 5 cm and is 3 constant temperature and constant mass density p = 1 g/cm = 1,000 kg/m2. incompressible liquid, the following equation well describes Moreover, for an isothermal enthalpy changes: Δh xυΔΡ where v is the volume per mole or molecule (depending (a) How much faster is the velocity of the exiting on the basis of h) water at the nozzle than that of factor (e.g., u2= the entering stream at the reservoir? Express your answer as a 1.5 u1). (b) If the hose is well insulated, find the exit velocity of the stream of water, in m/s. (c) Find the exit volumetric flow rate of water, in gal/s. (d) Instead, you suspect that the hose is not well insulated because you find that the actual, measured exit velocity is 90% of what you calculated in part (b). The inlet velocity, however, remains the same. This suggests that frictional losses result in a dissipation of heat to the environment as the water maintains constant temperature. Find the heat lost in kJ per kg of water

Expert Answer

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in

Related Chemical Engineering Q&A

Find answers to questions asked by student like you

Q: 3.30. Coal be ing used in a power plant at a rate of 8000 Ibm/min has the following composition: Com...

A: The flowrate of coal is given as 8000 lbm/min with 4.58 lbm H2O per lbm of coal. Thus, 5.58 lbm of w...

Q: This problem is (8.10) from a book  "Thermodynamics and Statistical Mechanics An Integrated Approach...

A: For a system of variable composition (open system), the differential change in molar Gibbs free ener...

Q: ll Verizon 99% 1:01 AM Done 3. A vessel containing 50 liters of saturated steam at 150 °C is cooled ...

A: For initial conditions, use the steam table for saturated steam at T1 = 150°C. At this temperature,

Q: Acetone is used in the manufacture of many chemicals and also as a solvent. In its latter role, many...

A: Apply material balance on overall process including all the 3 units (adsorber column, distillation c...

Q: 5.20. Multistage stripper. A stripper at 50 psia with three equilibrium stages strips 1,000 kmol/h o...

A: The process diagram of given process is given below

Q: 5.8. Using the extensivity property of the entropy, find the fundamental equation for the intensive ...

A: For entropy ‘S’, the extensive property in its differential form of fundamental equation is:

Q: .19 A liquid storage facility can be modeled by where y is the liquid level (m) and u is an inlet fl...

A: Part (a):Since all the derivatives are zero and y=u=0 at the nominal steady state, hence taking Lapl...

Q: Please show all steps, thank you

A: Part (a)Use the Lineweaver Burke plot to determine the value of Vmax (or rmax) and Km at 30°C and en...

Q: The T-x-y and P-x-y diagrams for the binary benzene-toluene system is shown below. a. The bubble poi...

A: Click to see the answer