1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
o-na [289]
3 years ago
5

Air enters a 28-cm diameter pipe steadily at 200 kPaand 208C with a velocity of 5 m/s. Air is heated as it flows, and leaves the

pipe at 180 kPa and 408C. Determine (a) the volume flow rate of air at the inlet, (b) the mass flow rate of air, and(c) the velocity and volume flow rate at the exit.
Engineering
1 answer:
Alina [70]3 years ago
5 0

Answer:

(a) \dot V_1 = 0.308 m³/s

(b) \dot m = 0.732 kg/m³

(c) v₂ = 5.94 m/s.

Explanation:

(a) The volume flow rate is given by the cross sectional area of the pipe × Velocity of flow of air

Diameter of pipe = 28 cm = 0.28 m

The cross sectional area, A, of the pipe = 0.28²/4×π = 0.0616 m²

Volume flow rate = 5 × 0.0616  = 0.308 m³/s

\dot V_1 = 0.308 m³/s

(b) From the general gas equation, we have;

p₁v₁ = RT₁ which gives;

p₁/ρ₁ = RT₁

ρ₁ = p₁/(RT₁)

Where:

ρ₁ = Density of the air

p₁ = 200 kPa

T₁ = 20 C =

R = 0.287 kPa·m³/(kg·K)

ρ₁ = 200/(0.287 ×293.15) = 2.377 kg/m³

The mass flow rate = Volume flow rate × Density

The mass flow rate, \dot m = 2.377×0.308 = 0.732 kg/m³

\dot m = 0.732 kg/m³

(c) The density at exit, ρ₂, is found from the the universal gas equation as follows;

ρ₂ = p₂/(RT₂)

Where:

p₂ = Pressure at exit = 180 kPa

T₂ = Exit temperature = 40°C = 273.15 + 40 = 313.15 K

∴ ρ₂ = 180/(0.287×313.15) = 2.003 kg/m³

\dot m = ρ₂×\dot V_2

\dot V_2 = \dot m/ρ₂ = 0.732/2.003 = 0.366 m³/s

\dot V_2 = v₂ × A

v₂ = \dot V_2/A = 0.366/0.0616 = 5.94 m/s.

v₂ = 5.94 m/s.

You might be interested in
Velocity components in an incompressible flow are: v = 3xy + x^2 y: w = 0. Determine the velocity component in the x-direction.
cupoosta [38]

Answer:

Velocity component in x-direction u=-\frac{3}{2}x^2-\frac{1}{3}x^3.

Explanation:

   v=3xy+x^{2}y

We know that for incompressible flow

   \frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}=0

\frac{\partial v}{\partial y}=3x+x^{2}

So   \frac{\partial u}{\partial x}+3x+x^{2}=0

\frac{\partial u}{\partial x}= -3x-x^{2}

By integrate with respect to x,we will find

u=-\frac{3}{2}x^2-\frac{1}{3}x^3+C

So the velocity component in x-direction u=-\frac{3}{2}x^2-\frac{1}{3}x^3.

3 0
3 years ago
1. A four-lane freeway (two lanes in each direction) is located on rolling terrain and has 12-ft lanes, no lateral obstructions
otez555 [7]

Answer:

Maximum number of vehicle = 308

Explanation:

See the attached file for the calculation.

6 0
3 years ago
If you make a mistake in polarity when measuring the value of DC voltage in a circuit with a digital VOM, what will happen? A. T
zimovet [89]

Answer:

C. The meter will display a negative sign.

Explanation:

If you use an analog voltmeter and you measure voltage with reverse polarity you will damage it. But in this case we are using a digital multimeter. This kind of multimeter is designed to be able to deal with positive and negative voltages

8 0
3 years ago
Given an array of words representing your dictionary, you test words to see if it can be made into another word in dictionary. T
katen-ka-za [31]

Answer:

Detailed solution is given below:

8 0
3 years ago
The acceleration due to gravity on the surface of the moon is 1.62m/s^2. The moon's radius is Rm+1738km. A) What is the weight i
Anastaziya [24]

Answer:

weight is 12.6 N

force is 4.05 N

Explanation:

given data

acceleration = 1.62 m/s²

radius = 1738 km

mass = 10 kg

distance = 1738 km

to find out

weight and force

solution

we apply here weight formula that is

weight =  mass × acceleration    ...................1

put here value

weight =  10 × 1.26

weight = 12.6 N

and

force = mass × An

force = 10 × 1.62 (1738/ 1738+1738)² = 4.05 N

so force is 4.05 N

4 0
3 years ago
Other questions:
  • How do you calculate the dynamic lift in an aeroplane?
    5·1 answer
  • The following is a list of metals and alloys:
    10·1 answer
  • A cylindrical tank with a radius of 2-m is filled with oil and water. The water has a density of rho = 1000 kg/m3 while the oil
    6·1 answer
  • A room is kept at −5°C by a vapor-compression refrigeration cycle with R-134a as the refrigerant. Heat is rejected to cooling wa
    7·2 answers
  • PLEASE ANSWER THIS DIAL CALIPER
    9·1 answer
  • Similarity of surface<br>and ground<br>waler​
    9·1 answer
  • Leland wants to work in a Production career operating heavy machinery. Which type of education or training should Leland seek?
    9·2 answers
  • Plssssssssssssss Alexi is writing a program which prompts users to enter their age. Which function should she use?
    5·1 answer
  • Why might many general contractors begin their careers as construction workers?
    9·1 answer
  • Analyze the example of this band saw wheel and axle. The diameter of the wheel is 14 inches. The diameter of the axle that drive
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!