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Lynna [10]
3 years ago
6

Air at 300 K and 100 kPa steadily flows into a hair dryer having electrical work input of 1500 W. Because of the size of the air

intake, the inlet velocity of the air is negligible. The air temperature and velocity at the hair dryer exit are 80°C and 21 m/s, respectively. The flow process is both constant pressure and adiabatic. Assume air has constant specific heats evaluated at 300 K. Determine the air mass flow rate into the hair dryer, in kg/s.
Engineering
2 answers:
dezoksy [38]3 years ago
8 0

Answer:

0.0280Kg/s

Explanation:

Given:

W = 1500

V2 = 300

V1 = 0

Q = 0 ( adiabatic)

T1 = 300

T2 = 20 m/s = converting to degrees we have 353°c

Let's use the energy equation

Q - W = m_• *( Cp(dT) + 0.5*(V2^2 - V1^2) Q = 0

[/tex] m_• = W / (Cp(dT) + 0.5*V2^2) [/tex]

= 1500 / (1005(353 - 300) + 0.5*21^2)

= 1500 W / 53485.5 =0.0280 kg/s

maks197457 [2]3 years ago
8 0

Answer:

The rate of air mass flow is given as \dot{m}=0.02804 kg/s^2

Explanation:

The steady state energy equation is given as

\dot{Q}-\dot{W}=\dot{m}\left[(h_2-h_1)+\left(\dfrac{V_1^2-V_2^2}{2}\right)+g(z_1-z_2)\right]

Here,

Q' is heat interaction per unit time with the hair dryer

W' is work interaction per unit time with the system

m' is mass flow rate into the hair dryer

Since the process is adiabatic so the value of Q' is 0 .

The elevations at inlet and outlet are same(z_1=z_2) so z_1-z_2=0

So the equation becomes

0-\dot{W}=\dot{m}\left[(h_1-h_2)+\left(\dfrac{V_1^2-V_2^2}{2}\right)+g(0)\right]\\\dot{W}=-\dot{m}\left[(h_1-h_2)+\left(\dfrac{V_1^2-V_2^2}{2}\right)\right]\\\dot{W}=\dot{m}\left[(h_2-h_1)+\left(\dfrac{V_2^2-V_1^2}{2}\right)\right]\\\dot{W}=\dot{m}\left[C_p(T_2-T_1)+\left(\dfrac{V_2^2-V_1^2}{2}\right)\right]

Now the value of power is given as 1500 W so the value of W' is 1500 W

m' is to be calculated

T_2 is the temperature at the exit given as 80 C or 80+273=363K

T_1 is given as 300 K

V_1 is given as negligible so it is 0

V_2 is given as 21 m/s

C_p is given as 1.005 kJ/kgK

So the equation becomes

\dot{W}=\dot{m}\left[C_p(T_2-T_1)+\left(\dfrac{V_2^2-V_1^2}{2}\right)\right]\\1.5 kW=\dot{m}\left[1.005 kJ/kgK(363-300 )K+\left(\dfrac{21^2-0^2}{2}*(1/1000)\right)\right]\\1.5=\dot{m}(53.48)\\\dot{m}=\dfrac{1.5}{53.48}\\\dot{m}=0.02804 kg/s^2

So the rate of air mass flow is given as \dot{m}=0.02804 kg/s^2

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What is the maximal coefficient of performance of a refrigerator which cools down 10 kg of water (and then ice) to -6C. Upper he
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What is the best way to submit your assignments?
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(35-39) A student travels on a school bus in the middle of winter from home to school. The school bus temperature is 68.0° F. Th
arlik [135]

Answer:

The net energy transfer from the student's body during the 20-min ride to school is 139.164 BTU.

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Where:

\epsilon - Emissivity, dimensionless.

A - Surface area of the student, measured in square feet.

\sigma - Stefan-Boltzmann constant, measured in BTU per hour-square feet-quartic Rankine.

T_{s} - Temperature of the student, measured in Rankine.

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If we know that \epsilon = 0.90, A = 16.188\,ft^{2}, \sigma = 1.714\times 10^{-9}\,\frac{BTU}{h\cdot ft^{2}\cdot R^{4}}, T_{s} = 554.07\,R and T_{b} = 527.67\,R, then the heat transfer rate due to electromagnetic radiation is:

\dot Q = (0.90)\cdot (16.188\,ft^{2})\cdot \left(1.714\times 10^{-9}\,\frac{BTU}{h\cdot ft^{2}\cdot R^{4}} \right)\cdot [(554.07\,R)^{4}-(527.67\,R)^{4}]

\dot Q = 417.492\,\frac{BTU}{h}

Under the consideration of steady heat transfer we find that the net energy transfer from the student's body during the 20 min-ride to school is:

Q = \dot Q \cdot \Delta t (2)

Where \Delta t is the heat transfer time, measured in hours.

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Q = 139.164\,BTU

The net energy transfer from the student's body during the 20-min ride to school is 139.164 BTU.

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