a thin-walled, uninsulated 0.4-m-diameter duct is used to route chilled air at 0.07 kg/s through the attic of a large commercial building. the attic air is at 37°c, and natural circulation provides a convection coefficient of 4 W m2K at the outer surface of the duct. if chilled air enters a 16-m-long duct at 7°c, what is its exit temperature (°c) and the rate of heat gain (w)? properties of the chilled air may be evaluated at an assumed average temperature of 300 k.

Answers

Answer 1

The exit temperature of the chilled air is 37.7°C and the rate of heat gain is 3040 W.

To determine the exit temperature and rate of heat gain for the chilled air, we need to use the heat transfer equation. The heat transfer equation is:

Q = U × A × DT...(i)

First, we need to calculate the surface area of the duct. Since the duct is a cylinder, the surface area is:

A = 2 × pi × r × l

Where r is the radius of the duct and l is the length of the duct. In this case, the radius of the duct is 0.4 m and the length is 16 m, so the surface area is:

A = 2 × pi × 0.4 × 16

A = 25.1 m2

Next, we need to calculate the temperature difference between the air inside the duct and the air outside the duct. The temperature of the air inside the duct is 7°C, and the temperature of the air outside the duct is 37°C, so the temperature difference is:

DT = 37 - 7

DT = 30

Now, we can plug the values we calculated into the heat transfer equation to find the rate of heat transfer:

Q = U × A × DT

Q = 4 × 25.1 × 30

Q = 3040 W

Finally, we can use the conservation of energy equation to determine the exit temperature of the air:

Q = m × c × DT

In this case, the mass flow rate of the air is 0.07 kg/s, and the specific heat capacity of air at 300 K is 1.005 kJ/kgK.

So, the equation to solve for the exit temperature:

T exit = 7 + Q / (m c)

T exit = 7 + 3040 / (0.07 x 1.005)

T exit = 37.7°C

Therefore, the exit temperature of the chilled air is 37.7°C and the rate of heat gain is 3040 W.

To learn more about the convections click here:

https://brainly.com/question/16635311

#SPJ1


Related Questions

a 12-bit bipolar dac has a 10.00-v reference. find out: (6 pts) a. what output voltage will be resulted from digital inputs of 4a6h, 02bh, and d5dh?

Answers

A 12-bit bipolar dac has a 10.00-v reference, the output voltage from digital inputs of

4a6h, v₀ = 2.906 v

02bh, v₀ = 0.105 v

d5dh, v₀ = 8.3541 v

What is voltage?

An electrical circuit's power source exerts pressure known as voltage on charged electrons (current), causing them to flow through a conducting loop and perform tasks like lighting a lamp.

Voltage is measured in volts and is simply equal to pressure. It honors Italian physicist Alessandro Volta (1745–1827), who developed the voltaic pile, the predecessor to the modern household battery.

Voltage was first known as electromotive force in the early history of electricity. For this reason, voltage is denoted by the letter E in equations like Ohm's Law.

The difference in electric potential between two points is known as voltage, also spelled as electric pressure, electric tension, or electric potential difference. It is equivalent to the work required to move a test charge between two points in a static electric field.

Learn more about voltage

https://brainly.com/question/2526786

#SPJ4

"smart" wifi devices which are equipped with more sensors, tend to use more energy or watts than old fashioned single contact devices.

true or false?

Answers

Answer: true     explanation:Smart home devices like thermostats and appliances are highly efficient because they can automatically adjust to changing energy needs. Plus, they can detect inefficiencies so electricity, water, and gas waste can be minimized. Your energy consumption can be reduced exponentially when smart devices run your home.

technician a says a worn or damaged idler arm can cause front-end shimmy. technician b says a worn or damaged idler arm can cause hard steering. who is correct?

Answers

Insufficient power steering fluid in your system is the most frequent cause of a stiff steering wheel.

What can be a sign that the steering system's parts are damaged?Any noises emanating from the steering wheel could be an indication of a broken steering belt, worn internal gears, or insufficient steering fluid. A new belt must be purchased right away if there is a belt problem. When making a turn, have you noticed a whining or a delayed response? The pump might be about to stop working.Insufficient power steering fluid in your system is the most frequent cause of a stiff steering wheel. This frequently occurs when there is a system leak coming from the pressurized hose location. The majority of the time, the reason for the fluid leak is a fractured or loose hose.  

To learn more about Steering refer to:

https://brainly.com/question/14183688

#SPJ4

a single-threaded 25-mm power screw is 25 mm in diameter with a pitch of 5 mm. a vertical load on the screw reaches a maximum of 5 kn. the coefficients of friction are 0.06 for the collar and 0.09 for the treads. the frictional diameter of the collar is 45 mm. find the overall efficiency and the torque to ""raise"" and ""lower"" the load.

Answers

The torque required to raise the load is 15.75 N-m. The torque required to lower the load is 7.81 N-m.

The overall efficiency is 0.252

What is torque?

Torque is the force that can cause an object to rotate around an axis. In linear kinematics, force is what causes an object to accelerate. Similarly, torque is responsible for angular acceleration.

As a result, torque is defined as the rotational equivalent of linear force. The axis of rotation is the straight line around which the object rotates. Torque is simply the tendency of a force to turn or twist in physics.

Torque is described using a variety of terms, including moment and moment of force. The moment arm or lever arm is the distance between the point of application of force and the axis of rotation.

Learn more about torque

https://brainly.com/question/17512177

#SPJ4

an 8-bit a/d converter has a reference voltage of 10 v. (5 pts) a. what is the resolution of the a/d converter?

Answers

The smallest incremental voltage that the ADC can detect and recognize without changing the digital output is referred to as the resolution.

A DAC's resolution can be determined in what ways?The formula Resolution = (Range /(2n -1)) is used to calculate resolution for n-bit DACs. which will result in the slightest alteration the DAC can detect. Range, on the other hand, is the maximum value that a DAC can measure.The smallest incremental voltage that the ADC can detect and recognize without changing the digital output is referred to as the resolution. The ADC output bit count is how it is expressed. So an ADC with a resolution of 12 bits is one that converts an analog signal to a 12-bit digital value.      

To learn more about Resolution refer to:

https://brainly.com/question/2267795

#SPJ4

what is the output frequency of a three-stage binary counter with an input clock frequency of 80 khz?

Answers

The lowest output frequency that can be used with a cascaded counter if a clock frequency is applied is: The output frequency that is lowest will be = [tex]2.5kHz[/tex]

What is the counter's output frequency?No matter whether the counter is synchronous or asynchronous, the output frequency for a binary counter or M mod counter is f/2n, where f is the input frequency and n is the number of flip-flops (but only if the duty cycle is 50%).A counter is a device that stores (and occasionally displays) the number of times a specific event or process has occurred in digital logic and computing, frequently in relation to a clock.The most typical kind is a sequential digital logic circuit, which has several output lines and a clock-input line.A binary three-stage counter counts.[tex]2^{2} = 8[/tex] states.Hence the output frequency is[tex]80/23=80/8=10KHz[/tex]What is a 4-bit binary counter's output frequency for a 160 MHz input clock? A 4-bit counter's final flip flop's output is equal to the input clock/16.Thus, the output frequency is 160MHz/16, or 10MHz.

TO learn more about counter's output frequency refer to:

https://brainly.com/question/26000993

#SPJ4

Other Questions
roxy is drawing on her desk during class. which consequence from the list below would be most logical when addressing this situation? which respiratory-associated muscles would contract or relax during forced expiration, for example blowing up a balloon? Hurricanes are large tropical storms with heavy winds that exceed 74 miles per hour. Hurricanes produce heavy rains and may give rise to tornadoes. What is the source of the energy contained in hurricanes?. describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7 Stakeholders have been able to form international coalitions more successfully through use of:a. Government regulation.b. Community involvement.c. Communications technology.d. Unions In comparing two unequal forces on a rigid body, is it possible to have the larger force produce less torque than the smaller force?. in order to avoid bias while conducting subjective job evaluations of their subordinates, managers should avoid blank . multiple choice question. recording observations of their subordinates before conducting job evaluations attributing the performance of their subordinates to the working environment observing their subordinates' performance regularly evaluating many subordinates at one time Mt.Mckinley is 20,321 ft in elevation. Mt.McKinley is 8,707 ft lower than Mt. Everest. What is the elevation of Mt.Everest?I need to explain the variablewrite an equationand solve it are some forms of unreliable news more dangerous than others? Why is it difficult to differentiate genetic effects from environmental effects in human studies of intelligence? a new partner enters a partnership, and goodwill is calculated and credited to the original partners. how is the specific amount of goodwill assigned to these partners? what signs/symptoms would the nurse expect to find in a client diagnosed with late stage rheumatoid arthritis? a teacher is working to increase engagement and communicate the value of the social sciences. which two of the following are strategies that would further progress toward these goals? select all answers that apply. true or false: when two variables are highly correlated, a change in the value of one will cause a change in the value of another. the nurse identifies that a client receiving chemotherapy has lost weight. which intervention would the nurse take to improve the clients nutrition? in the context of iot in the manufacturing industry, which model segments devices and equipment into hierarchical functions? A paper cup is in the shape of an inverted right circular cone with both height and diameter of 6 inches. It is being filled with water at a rate of 2 cubic inches per minute. How fast is the water level rising when it is 2 inches deep. Pls give answer in inches per minute With respect to costs of quality, this type of cost arises when a defect is discovered in the factory and is fixed before it reaches the consumer. find the equation parallel to y=-2x-18 through (-3,2) Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded by the ellipse 100x2 + 49y2 = 1