An oxygen–nitrogen mixture consists of 35 kg of oxygen and 40 kg of nitrogen. This mixture is cooled to 84 K at 0.1 MPa pressure. Determine the mass of the oxygen in the liquid and gaseous phase.

Answers

Answer 1

Answer:

The mass of oxygen in liquid phase = 14.703 kg

The mass of oxygen in the vapor phase = 20.302 kg

Explanation:

Given that:

The mass of the oxygen [tex]m_{O_2}[/tex] = 35 kg

The mass of the nitrogen [tex]m_{N_2}[/tex] = 40 kg

The cooling temperature of the mixture T = 84 K

The cooling pressure of the mixture P = 0.1 MPa

From the equilibrium diagram for te-phase mixture od oxygen-nitrogen as 0.1 MPa graph. The properties of liquid and vapor percentages are obtained.

i.e.

Liquid percentage of [tex]O_2[/tex] = 70% = 0.70

Vapor percentage of [tex]O_2[/tex] = 34% = 0.34

The molar mass (mm) of oxygen and nitrogen are 32 g/mol and 28 g/mol respectively

Thus, the number of moles of each component is:

number of moles of oxygen = 35/32

number of moles of oxygen =  1.0938 kmol

number of moles of nitrogen = 40/28

number of moles of nitrogen = 1.4286  kmol

Hence, the total no. of moles in the mixture is:

[tex]N_{total} = 1.0938+1.4286[/tex]

[tex]N_{total} = 2.5224 \ kmol[/tex]

So, the total no of moles in the whole system is:

[tex]N_f + N_g = 2.5224 --- (1)[/tex]

The total number of moles for oxygen in the system is

[tex]0.7 \ N_f + 0.34 \ N_g = 1.0938 --- (2)[/tex]

From equation (1), let N_f = 2.5224 - N_g, then replace the value of N_f into equation (2)

0.7(2.5224 - N_g) + 0.34 N_g = 1.0938

1.76568 - 0.7 N_g + 0.34 N_g = 1.0938

1.76568 - 0.36 N_g = 1.0938

1.76568 - 1.0938 = 0.36 N_g

0.67188  = 0.36 N_g

N_g = 0.67188/0.36

N_g = 1.866

From equation (1)

[tex]N_f + N_g = 2.5224[/tex]

N_f + 1.866 = 2.5224

N_f = 2.5224 - 1.866

N_f = 0.6564

Thus, the mass of oxygen in the liquid and vapor phases is:

[tex]m_{fO_2} = 0.7 \times 0.6564 \times 32[/tex]

[tex]m_{fO_2} = 14.703 \ kg[/tex]

The mass of oxygen in liquid phase = 14.703 kg

[tex]m_{g_O_2} = 0.34 \times 1.866 \times 32[/tex]

[tex]m_{g_O_2} = 20.302 \ kg[/tex]

The mass of oxygen in the vapor phase = 20.302 kg


Related Questions

How many snaps points does an object have?

Answers

Answer:

what do you mean by that ? snap points ?

A three-phase motor rated 25 hp, 480 V, operates with a power factor of 0.74 lagging and supplies the rated load. The motor efficiency is 96%. Calculate the motor input power, reactive power and current.

Answers

Answer:

the motor input power is 19.42 KW

the Reactive power is 17.65 KVAR

Current is 31.56 A

Explanation:

Given that;

V = 480V

h.p = 25 hp

p.f = 0.74 lagging

n_motor = 96%

so output = 25hp

and we know that;

1hp = 746 watt

watt = hp × 1hp

so output in watt = 25 × 746 = 18650 Watt = 18.65 KW

n_motor = (output / input) × 100

96 = 1865 / Input

96Input = 1865

Input = 1865 / 96

Input = 19.42 KW

Therefore the motor input power is 19.42 KW

P = √( 3 × V × I × cos∅)

19.42 = √( 3 ×480 × I × 0.74)

I = 31.56 A

Therefore Current is 31.56 A

Q = √( 3 × V × I × sin∅)

we know that

cos∅ = 0.74

so ∅ = cos⁻¹(0.74) = 42.26

so we substitute

Q = √( 3 × 480 × 31.56 × sin(42.26))

 = 17.65 KVAR

Therefore the Reactive power is 17.65 KVAR

Products exit a combustor at a rate of 100 kg/sec, and the air-fuel ratio is 9. Determine the air flow rate. a. 9 kg/sec b. 90 kg/sec c. 100 kg/sec d. 10 kg/sec

Answers

Answer: the air flow rate a is 90 kg/sec; Option b) 90 kg/sec is the correct answer

Explanation:

Given that;

product of combustor flow rate m = 100 kg/s

air-fuel = 9

Airflow rate = ?

⇒We know that in the combustor, air fuel are mixed and then ignited,

⇒air fuel products are exited at the combustor

let air and fuel be a and b respectively

⇒ a + b = 100 kg/sec ----- let this be equation 1

now

⇒ air / fuel = 9

a / b = 9

a = 9b -----------let this be equation 2

now input a = 9b in equation 1

9b + b = 100 kg/sec

10b = 100 kg/sec

b = 10 kg/sec

we know that

a = 9b

so a = 9 × 10 = 90 kg/sec

Therefore the air flow rate a is 90 kg/sec

A roadway with a rough-asphalt pavement has a cross slope of 2%, a longitudinal slope of 2.5%, a curb height of 8 cm, and a 90-cm-wide concrete gutter. If the flow rate in the gutter is 0.07 m/s, determine the size (W XL, in mm) and interception capacity (m/s) of a reticuline grate that should be used to intercept as much of the flow as possible.
a. Reticuline grate size?
b. Interception capacity?

Answers

Answer:

b

Explanation:

Based on the pattern, what are the next two terms of the sequence? 9,94,916,964,9256,... A. 91024,94096 B. 9260,91028 C. 9260,9264 D. 91024,91028

Answers

Answer:

The answer is "Option A".

Explanation:

Series:

[tex]9, 94, 916, 964, 9256, ........[/tex]

Solving the above series:

[tex]\to 9\\ \to 9(4) =94\\\to 9 (4^2) = 9(16) =916\\\to 9 (4^3) = 9(64) =964\\\to 9 (4^4) = 9(256) =9256\\\to 9 (4^5) = 9(1024) =91024\\\to 9 (4^6) = 9(4096) =94096\\[/tex]

So, the series is:  [tex]9, 94, 916, 964, 9256, 91024, 94096, .................[/tex]

It is important to keeo a copy of your written plan and safety record s off-site. True or false

Answers

Answer:

The answer for the question is true

Explanation:

If you get a virus or get hacked you will still have it saved

A semicircular loop of radius a in free space carries a current I. Determine the magnetic flux density at the center of the loop.

Answers

Answer: the magnetic flux density at the center of the loop is μ₀I  / 4πα

Explanation:

Taking a look at the diagram;

we draw an imaginary curve to complete it as a circle.

we can now apply amperes law to write;

flux density B at centre;

∫B.dl = μ₀I

now since;

∫dl = 2πα

and field direction at centre is perpendicular to the screen, so it add up , and hence constant in magnitude.

so we can be taken out of the integral ,

B( 2πα ) = μ₀I

hence ;

B_circle = B = μ₀I  / 2πα

so if we remove the half part of this;

we get a semicircle, which is what we are looking for;

Now

B_semi = 1/2.B = 1/2 × μ₀I  / 2πα

B_semi = μ₀I  / 4πα

Therefore the magnetic flux density at the center of the loop is μ₀I  / 4πα

A production line manufactures 10-liter gasoline cans with a volume tolerance of up to 5%. The probability that any one is out of tolerance is 0.03. If five cans are selected at random. a) What is the probability that they are all out of tolerance? b) What is the probability that exactly two are out of tolerance?

Answers

Answer:

In the case of the production Line, we know that,

No of gasoline cans = 5

probability that 1st can is out of tolerance = 0.03

probability that 2nd can is out of tolerance = 0.03

.

.

probability that the 5th can is out of tolerance = 0.03

Therefore,

probability of 1st can out of tolerance + probability of 1st can not out of tolerance = 1

Probability of 1st can not out of tolerance = 1 -- 0.03 = 0.97

probability of 2nd can not out of tolerance = 0.97

.

.

probability of 5th can not out of tolerance = 0.97

Question A:

Probability that they are all out of tolerance

= P(1st can out of tolerance) * P(2nd can out of tolerance) * P(3rd can out of tolerance) * P(4th can out of tolerance) * P(5th can out of tolerance)  

= (0.03 ) * (0.03) * (0.03) * (0.03) * (0.03) =  2.43 E⁻⁸   (2.43 ˣ 10⁻⁸)

Question B:

Probability that exactly two are out of tolerance

= P(1st can is out of tolerance) * P(2nd can is out of tolerance) * P(3rd can is not out of tolerance) * P(4th can is not out of tolerance) * P(5th can is not out of tolerance)

= (0.03) * (0.03) * (0.97) * (0.97) * (0.97) = 0.0008214057

Explanation:

Calculate the molar volume of ammonia at 92oC and 310 bar. What phase is the ammonia in?

Answers

Answer:

The ammonia is still in the gas phase

Explanation:

Given that 1 bar is approximately = 1 atm

From;

PV=nRT

P= 310 atm

V= the unknown

n= 1

R = 0.082atm LK-1mol-1

T = 92oC + 273 = 365 K

V= nRT/P

V= 1 * 0.082 * 365/310

V = 0.0965 L = 96.5 mL

molar mass of NH3 = 17 g/mol

Molar density of NH3 = 17g/ 96.5mL = 0.176g/mL

The ammonia is still in the gas phase

please what is dif
ference between building technology and building engineering.​

Answers

Answer:

Building technology is building technology such as coding an app or a website

Building engineering is making computers or cars or phones

Explanation:

From my perspective:

Building Engineering consists of overall design needs. Working under an architectural firm, to produce a design of structural, mechanical, electrical etc. that will meet various code, cost constraints. Producing construction documents such as plans and specifications.

Building technology consists more of hands on installation and construction management.
Building trade technicians, follow design documents procuring and installing materials and equipment to deliver building systems that meet desired customer end results.

If a more detailed answer is required, probe with search engine. Getting a building from conception to finished product is complicated, typically does not conform to assembly line/repetitive approach.

what substance does light travel through before putting water in the cup

Answers

Bend surface in water! Hopefully this helps, I looked it up!

A battery with a nominal voltage of 200-V with a resistance of 10 milliohms to be charged at a constant current of 20 amps from a 3-phase semi-converter with a 220-V (line-to-line) Y-connected 60 Hs supply. Determine:

a. The firing angle of the thyristors for the charging process.
b. The displacement power factor and the supply power factor.

Answers

Answer:

a)  ( ∝ ) = 69.6548

b) supply power factor = 0.6709

  displacement power factor = 0.8208

Explanation:

Given data:

Nominal voltage ( E ) = 200-V

resistance (r) = 10 milliohms

constant current ( I )  = 20 amps

Phase ; 3-phase

semi-converter  with 220-v ( line-to-line ) ,  220√2  ( phase voltage )

frequency ; 60 Hz

a) determine the firing angle of thyristors

Vo = E + I*r

    = 200 + 20*10*10^-3

    = 200.2 v

attached below is the remaining part of the solution

firing angle of thyristors for charging process ( ∝ ) = 69.6548

b) determine displacement power factor and supply power factor

attached below is the detailed solution

Displacement power factor ( Dpf ) = cos ( ∝ /2 ) = 0.8208

displacement power factor = g * Dpf

                                             = 0.81747 * 0.8208 = 0.6709

An unmanned satellite orbits the earth with a perigee radius of 10,000 km and an apogee radius of 100,000 km. Calculate:

a. the eccentricity of the orbit
b. the semimajor axis of the orbit(km)
c. the period of the orbit(hours)
d. the specific energy of the orbit(km^2/s^2)
e. the true anomaly at which the altitude is 1000km (degrees)
f. Vr and V(perpendicular) at the points found in part (e) (km/s)
g. the speed at the perigee and apogee (km/s)

Answers

Solution :

Given :

radius of perigee, [tex]$r_p$[/tex] = 10,000 km

radius of apogee, [tex]$r_a$[/tex] = 100,000 km

a). Eccentricity of the orbit

  [tex]$e=\frac{|r_p-r_a|}{r_p+r_a}$[/tex]

[tex]$e=\frac{|10,000-100,000|}{10,000+100,000}$[/tex]

[tex]$e=\frac{9}{11}$[/tex]

or e = 0.818

b). Semi major axis of the orbit

  [tex]$a=\frac{r_p+r_a}{2}$[/tex]

  [tex]$a=\frac{10,000+100,000}{2}$[/tex]

     = 55,000 km

c). period of orbit

  [tex]$T=\frac{2\pi}{\sqrt{\mu}}\times a^{3/2}$[/tex]

Replacing μ with [tex]$398600 \ km^3/s^2$[/tex]

[tex]$T=\frac{2\pi}{\sqrt{398600}}\times (55,000)^{3/2}$[/tex]

[tex]$T=128304.04 \ s \left(\frac{1 \ hr}{3600 \ s}\right)$[/tex]

T = 35.64 hr

d). Specific energy of the orbit

[tex]$\varepsilon = -\frac{\mu}{2a}$[/tex]

[tex]$\varepsilon = -\frac{398600}{2 \times 55000}$[/tex]

[tex]$\varepsilon = -3.62 \ km^2/s^2$[/tex]

e). the equation of the distance to the focus

[tex]$\theta = \cos^{-1}\left(\frac{a(1-e^2)}{r}-\frac{1}{e}\right)$[/tex]

[tex]$\theta = \cos^{-1}\left(\frac{55000(1-(0.818)^2)}{(1000+6378)}-\frac{11}{9}\right)$[/tex]

[tex]$\theta = \cos^{-1}\left(\frac{55000(0.33)}{(7378)}-\frac{11}{9}\right)$[/tex]

[tex]$\theta = \cos^{-1}\left(2.4-1.2\right)$[/tex]

[tex]$\theta = \cos^{-1}\left(1.2\right)$[/tex]

θ = 1.002°

f).Calculating the angular momentum

[tex]$r_p=\frac{h^2}{\mu(1+e)}$[/tex]

or [tex]$h=\sqrt{r_p \mu(1+e)}$[/tex]

Now calculate the radial velocity

[tex]$v_r=\frac{\mu}{h} e \sin \theta$[/tex]

Substituting for h,

[tex]$v_r=\frac{\mu}{h}e \sin \theta$[/tex]

[tex]$v_r=\frac{e\mu \sin \theta}{\sqrt{r_p \mu(1+e)}}$[/tex]

[tex]$v_r=\frac{\frac{9}{11}\sqrt{398600} \sin 20}{\sqrt{10,000 (1+0.818)}}$[/tex]

[tex]$v_r= 1.30 \ km/s$[/tex]

Now calculating the azimuthal velocity

[tex]$v_{\perp}=\frac{\mu}{h}(1+e \cos \theta)$[/tex]

[tex]$v_{\perp}=\frac{\mu (1+e \cos \theta)}{\sqrt{r_p \mu(1+e)}}$[/tex]

[tex]$v_{\perp}=\frac{\sqrt{398600} (1+0.818 \cos 20)}{\sqrt{10000(1+0.818)}}$[/tex]

[tex]$v_{\perp}=7.58 \ km/s$[/tex]

g). Velocity at perigee

[tex]$v_p=\frac{h}{r_p}$[/tex]

[tex]$v_p=\frac{\sqrt{r_p \mu (1+e)}}{r_p}$[/tex]

[tex]$v_p=\frac{\sqrt{10000 (398600) (1+0.818)}}{10000}$[/tex]

[tex]$v_p=8.52 \ km/s$[/tex]

Now calculate the velocity of the apogee

[tex]$v_a=\frac{h}{r_a}$[/tex]

[tex]$v_a=\frac{\sqrt{r_p \mu (1+e)}}{r_a}$[/tex]

[tex]$v_p=\frac{\sqrt{10000 (398600) (1+0.818)}}{100000}$[/tex]

[tex]$v_a= 0.85 \ km/s$[/tex]

A 40Ω resistor, a 5 mH inductor, and a 1.25μF capacitor are connected in series. The series-connected elements are energized by a sinusoidal voltage source whose voltage is 600 cos(8000t + 20°) V.

Required:
a. Draw the frequency-domain equivalent circuit.
b. Reference the current in the direction of the voltage rise across the source, and find the phasor current.
c. Find the steady-state expression for i(t).

Answers

Solution :

Given  

From the voltage expression, w = 8000 rad/s

Inductive reactance, XL = jwL = j 40 Ω

Capacitive reactance, XC = -j/wC

                                    = - j 100 Ω

Now, [tex]$I=\frac{Vs}{Z}$[/tex]

Z = 40 + j40 - j100

  = 46 - j 60 Ω

   = [tex]$72.1 \angle -56.3^\circ$[/tex]

So, [tex]$I=\frac{Vs}{Z}$[/tex]

      [tex]$=\frac{600 \angle 20^\circ}{72.1 \angle -56.3^\circ}$[/tex]

      [tex]$=8.32\ \angle 76.3^\circ$[/tex]

Therefore,

[tex]$i(t) = 8.32 \ \cos(8000t+76.3^\circ)$[/tex]

Series aiding is a term sometimes used to describe voltage sources of the same polarity in series. If a 5 V and a 9 V source are connected in this manner, what is the total voltage?

Answers

Answer:Total Voltage = 14V

Explanation: it is possible that a circuit  can contain more than one source of electromotive force which can cause flow of current in the same or opposite direction . When the  connection to  voltage sources  allows for current  from the voltage sources to flow in  same direction,it is termed  Series aiding  Thus, the  Total/effective voltage in a series aiding circuit is  computed as the sum of series aiding voltages .

 Here we have the series aiding voltages to be 5V and 9V ,

therefore,

Total Voltage = 5V + 9V

= 14V

Calculate the number of vacancies per cubic meter for some metal, M, at 783°C. The energy for vacancy formation is 0.95 eV/atom, while the density and atomic weight for this metal are 6.10 g/cm^3 (at 783°C) and 43.41 g/mol, respectively.

Answers

Answer:

Following are the solution to this question:

Explanation:

The number of vacancies by the cubic meter is determined.  

[tex]N_V =N exp(\frac{Q_v}{kT})[/tex]

      [tex]= \frac{N_A \rho}{A} exp (\frac{Q_v}{kT})[/tex]

      [tex]= \frac{6.022 \times 10^{23} \times 6.10}{43.41} \exp(\frac{-0.95}{8.62\times 10^{-5} \times (783+273)})\\\\= \frac{36.7342 \times 10^{23}}{43.41} \exp(\frac{-0.95}{0.0313626})\\\\= 0.846215158 \times 10^{23} \exp(-30.290856)\\\\[/tex]

      [tex]=1.57 \times 10^{25} \ cm^{-3}[/tex]

How much energy in joule is added to a 12 g of sample of aluminum (c=0.897 J/g ◦C) to raise the temperature from 20 ◦C to 45 ◦C?

Answers

Answer:

269.1J

Explanation:

m = 12g

c = 0.897J/g°C

∆T = 45 - 20 = 25°C

H = mc∆T = 12 × 0.897 × 27 = 269.1J

Which of the following is an example of someone who claims that the media has a shooting blanks effect?

A. "Along with parents, peers, and teachers, the media socializes children about how boys and girls are supposed to behave."

B. "My kid saw a cigarette ad in a magazine and now he's smoking. It's the magazine's fault!"

C. "The media doesn't affect me at all because I'm smart enough to know the difference between right and wrong."

D. "There is no definitive evidence that the media affects our behavior"

Answers

Answer:

the answer would be d its d

Answer:

Pretty sure the answer is "C"

Explanation:

"The media doesn't affect me at all because I'm smart enough to know the difference between right and wrong."

What is the basic molecular mechanism for polymer plasticity, and how does it differ from that of ductile crystalline metals?

Answers

Answer:

In Crystalline metals or materials, plasticity is examined from the perspective of the motion of linear defects or dislocations within the polymer chains.

Explanation:

When a temperature range below and near the glass transition temperature is reached, there is warping or contortion of structureless or malformed polymers. This warping happens as the polymer chains move over one another.

Unlike elasticity when requires or enables an object to resume its original dimensions, ductility is the quality of an element or material to change form albeit permanently.

Cheers

Copy bits 3..0 in $s1 to 6..3 in $s2. Bits 6..3 in $s2 are already set to 0. Registers$s0 0..01111$s1 0..0101$s3 0

Answers

Answer:

Following are the solution to this question:

Explanation:

To copy 3.0 bits in 50 dollars or run at 50 dollars, it takes just 3.0 bits as well as other bits but masks, and 50 dollars.  

Instead of shifting the $ 50 by 3 bits to 6...3 bits of [tex]\$ \ 50, \$ \ 50,0*0000 0003,[/tex] This procedure instead took place at $53 and $50  

AND [tex]\$ \ 50,\$ \ 50,0*0000 000f[/tex], take 3..0  bits

SLL [tex]\$ \ 50, \$ \ 50,0*0000 0003,[/tex]Shifts the bits to 6..3

O R [tex]\$ \ 53,\$ \ 53,\$ \ 50 ,[/tex] coping to [tex]\$ \ 53[/tex]

People tend to self-disclose to others that are in age, social status, religion, and personality.

Answers

Answer:people tend to do this when they are in a different environment they lose something or just have something going on in their life

Explanation:

A single phase inductive load draws 10 MW at 0.6 power factor lagging. Draw the power triangle and determine the reactive power of a capacitor to be connected in parallel with the load to raise the power factor to 0.85.

Answers

Answer: attached below is the power triangles

7.13589 MVAR

Explanation:

Power ( P1 ) = 10 MW

power factor ( cos ∅ ) = 0.6 lagging

New power factor = 0.85

Calculate the reactive power of a capacitor to be connected in parallel

Cos ∅ = 0.6

therefore ∅ = 53.13°

S = P1 / cos ∅ = 16.67 MVA

Q1 = S ( sin ∅ ) = 13.33 MVAR  ( reactive power before capacitor was connected in parallel )

note : the connection of a capacitor in parallel will cause a change in power factor and reactive power while the active power will be unchanged i.e. p1 = p2

cos ∅2 = 0.85 ( new power factor )

hence ∅2 =  31.78°

Qsh ( reactive power when power factor is raised to 0.85 )

= P1 ( tan∅1 - tan∅2 )

= 10 ( 1.333 - 0.6197 )

= 7.13589 MVAR

A rectangular channel 3-m-wide carries 12 m^3/s at a depth of 90cm. Is the flow subcritical or supercritical? For the same flowrate, what depth will five critical flow?

Answers

Answer:

Super critical

1.2 m

Explanation:

Q = Flow rate = [tex]12\ \text{m}^3/\text{s}[/tex]

w = Width = 3 m

d = Depth = 90 cm = 0.9 m

A = Area = wd

v = Velocity

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

[tex]Q=Av\\\Rightarrow v=\dfrac{Q}{wd}\\\Rightarrow v=\dfrac{12}{3\times 0.9}\\\Rightarrow v=4.44\ \text{m/s}[/tex]

Froude number is given by

[tex]Fr=\dfrac{v}{\sqrt{gd}}\\\Rightarrow Fr=\dfrac{4.44}{\sqrt{9.81\times 0.9}}\\\Rightarrow F_r=1.5[/tex]

Since [tex]F_r>1[/tex] the flow is super critical.

Flow is critical when [tex]Fr=1[/tex]

Depth is given by

[tex]d=(\dfrac{Q^2}{gw^2})^{\dfrac{1}{3}}\\\Rightarrow d=(\dfrac{12^2}{9.81\times 3^2})^{\dfrac{1}{3}}\\\Rightarrow d=1.2\ \text{m}[/tex]

The depth of the channel will be 1.2 m for critical flow.

A fluid has a mass of 5 kg and occupies a volume of 1 m3 at a pressure of 150 kPa. If the internal energy is 25000 kJ/kg, what is the total enthalpy?

Answers

Answer:

155 KJ

Explanation:

The total enthalpy is given by

ΔH=ΔU + PV

Where;

ΔH = enthalpy

ΔU = internal energy = 25000 kJ/kg/ 5 kg = 5000 KJ

P = 150 kPa = 150,000 Pa

V =  1 m3

ΔH=  5000 + (150,000 * 1)

ΔH=  155 KJ

Compute the solution to x + 2x + 2x = 0 for Xo = 0 mm, vo = 1 mm/s and write down the closed-form expression for the response.

Answers

Answer:

β = [tex]\frac{c}{\sqrt{km} }[/tex] =  0.7071 ≈ 1 ( damping condition )

closed-form expression for the response is attached below

Explanation:

Given :  x + 2x + 2x = 0   for Xo = 0 mm and Vo = 1 mm/s

computing a solution :

M = 1,

c = 2,

k = 2,

Wn = [tex]\sqrt{\frac{k}{m} }[/tex]  = [tex]\sqrt{2}[/tex]  

next we determine the damping condition using the damping formula

β = [tex]\frac{c}{\sqrt{km} }[/tex] =  0.7071 ≈ 1

from the condition above it can be said that the damping condition indicates underdamping

attached below is the closed form expression for the response

Contrast the electron and hole drift velocities through a 10 um (micro meter) layer of intrinsic silicon across which a voltage of 5V is imposed. Let up = 480cm2/Vs and un=1350cm2/Vs.

Answers

Answer:

Explanation:

Since we are considering electron and hole drift velocities, then electric field E will have to be taken into consideration as well.

Where E = V/d...... 1

Drift velocity (u) = -μE. For electron.... 2

Drift velocity (v) = μE. For hole...... 3

Given that : V = 5V and d = 10 um (micro meter)

From equation 1

E = V/d

E = 5V/10×10^-4cm

E = 5V ÷1/1000

E = 5×1000

E = 5000v/cm

From equation 2

Un = -μE.

Un = - 1350cm^2/vs × 5000

= -6750000cm/s

From equation 3

Vp = μE

= 480cm^2/vs × 5000

= 2400000cm/s

Since it was stated in the question that we should contrast between hole drift and electron drift.

6750000/2400000

= 2.8125

Hence the electron drift velocity is 2.8 times that of hole drift velocity indicating that the speed of the electron through the silicon was faster.

please help me make a lesson plan. the topic is Zigzag line. and heres the format.
A. Objective
B. Subject matter
C. Learning activities.
D. Assessment.
E. Reinforcement​

Answers

Explanation:

D. B. C. A. E. Is this a good idea

Explain combined normal and shear stresses with sketch. Write the general expression for (a) Normal and shear stresses on inclined plane (b) principal and maximum shear stresses and identify all the terms in the expression including units.

Answers

Answer:

a) Normal stress :

бn =[ ( бx + бy ) / 2  + ( бx - бy ) / 2  ] cos2∅ + Txysin2∅

shear stress

Tn = ( - бx - бy ) / 2  sin2∅ + Txy cos2∅

b) principal stress :

б1 = ( бx + бy ) / 2  - [tex]\sqrt{}[/tex]( ( бx - бy ) / 2 )^2 + T^2xy

maximum shear stress:

Tmax  = ( б1 - б2) / 2 = √ (( бx - бy ) / 2 )^2 + T^2xy

Explanation:

Combined normal stress and shear stress  sketches attached below

The terms in the sketch are :

бx = tensile stress in x direction

бy =  tensile stress in y direction

Txy = y component of shear stress acting on the perpendicular plane to x axis

бn = Normal stress acting on the inclined plane EF

Tn = shear stress acting on the inclined plane EF

A) Normal and shear stresses on inclined plane

Normal stress :

бn =[ ( бx + бy ) / 2  + ( бx - бy ) / 2  ] cos2∅ + Txysin2∅

shear stress

Tn = ( - бx - бy ) / 2  sin2∅ + Txy cos2∅

B) principal and maximum shear stresses

principal stress :

б1 = ( бx + бy ) / 2  - [tex]\sqrt{}[/tex]( ( бx - бy ) / 2 )^2 + T^2xy

maximum shear stress:

Tmax  = ( б1 - б2) / 2 = √ (( бx - бy ) / 2 )^2 + T^2xy

Air ows steadily in a thermally insulated pipe with a constant diameter of 6.35 cm, and an average friction factor of 0.005. At the pipe entrance, the air has a Mach number of 0.12, stagnation pressure 280 kPa, and stagnation temperature 825 K. Determine:

a. The length of pipe required to reach the sonic state
b. The static pressure and temperature at the exit if the pipe is 25 m long

Answers

Solution:

Given :

D = 6.35 cm

[tex]$\bar f = 0.005$[/tex]

[tex]$P_s = 280 \ kPa$[/tex]

[tex]$T_s= 825 K[/tex]

a). From fanno flow table (γ = 1.4)

At [tex]$M_1 = 0.12$[/tex] ,    [tex]$\left(\frac{4 \bar f L_{max}}{D}\right)_1 = 45.408$[/tex]

At [tex]$M_2 = 1$[/tex] ,      [tex]$\left(\frac{4 \bar f L_{max}}{D}\right)_2 = 0$[/tex]

∴  [tex]$\left(\frac{4 \bar f L_{max}}{D}\right)_1 - \left(\frac{4 \bar f L_{max}}{D}\right)_2 = \frac{4 \bar f L}{D}$[/tex]

[tex]$45.408 - 0 = \frac{4 \times 0.005 \times L}{0.0635}$[/tex]

[tex]$45.408 = \frac{4 \times 0.005 \times L}{0.0635}$[/tex]

L = 144.17 m

b). If L = 25 m

[tex]$\frac{4 \bar f L}{D}=\frac{4 \times 0.005 \times 25}{0.0635} = 7.874$[/tex]

From fanno flow , (γ = 1.4)

[tex]$At, M_2 = 0.26 , \frac{4 \bar f L}{D} = 7.874$[/tex]

[tex]$\frac{P_s}{P_1}=\frac{T_s}{T_1}^{\frac{\gamma}{\gamma - 1}} = (1+\frac{\gamma-1}{2}M_1^2)^{\frac{\gamma}{\gamma - 1}}$[/tex]

[tex]$\frac{280}{P_1}=\frac{825}{T_1}^{\frac{1.4}{1.4 - 1}} = (1+\frac{1.4-1}{2}(0.12)^2)^{\frac{1.4}{1.4 - 1}}$[/tex]

[tex]$\frac{280}{P_1}=\left(\frac{825}{T_1}\right)^{3.5} =1.0101$[/tex]

[tex]$P_1 = 277.2 \ kPa$[/tex]

[tex]$T_1=822.63 \ K$[/tex]

[tex]$\frac{T_2}{T_1}=\frac{1+\frac{\gamma -1}{2}M_1^2}{1+\frac{\gamma -1}{2}M_2^2}$[/tex]

[tex]$\frac{T_2}{822.63}=\frac{1+\frac{1.4 -1}{2}(0.12)^2}{1+\frac{1.4 -1}{2}(0.26)^2}$[/tex]

[tex]$\frac{T_2}{822.63}=\frac{1.00288}{1.01352}$[/tex]

[tex]$T_2=814 \ K$[/tex]

[tex]$\frac{P_2}{P_1}=\frac{M_1}{M_2}\left(\frac{1+\frac{\gamma -1}{2}M_1^2}{1+\frac{\gamma -1}{2}M_2^2}\right)^{1/2}$[/tex]

[tex]$\frac{P_2}{P_1}=\frac{0.12}{0.26}\left(\frac{1+\frac{1.4 -1}{2}(0.12)^2}{1+\frac{1.4 -1}{2}(0.26)^2}\right)^{1/2}$[/tex]

[tex]$\frac{P_2}{277.2}=0.459$[/tex]

[tex]$P_2=127.27 \ kPa$[/tex]

How would you achieve the linear convolution of a 100 sample time series and a 20 tap filter in the frequency domain?

Answers

Answer:

divide then add XD my guy this is easy

Explanation:

The linear convolution is a mathematical operation that finds the output of the linear time-variant system that is given its impulse and linear time-invariant responses.

The convolution for a 100 sample of time series and a 20 tap filter in the freq domain can be represented as y(n) = x(n) . h(n).

Learn more about the achieve the linear convolution of a 1.

brainly.com/question/24452045.

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