How to calculate Density of tetragonal unit cell by formula?

Answers

Answer 1

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

The formula of Density for a random unit cell is as follows -

[tex]Density = \frac{ Z _{effective} \times M }{N _{a} \times a {}^{3} } \\ [/tex]

where ,

★ [tex]Z _{effective}[/tex] = number of atoms in a unit cell

★ M = molar mass

★ [tex] N _{a} = Avogadro's \: Number = 6 × 10^{23}[/tex]

★ a = edge length

now ,

In a tetragonal unit cell ,

the atoms are present over the corners as well as the at the body centre.

Therefore ,

[tex]Z _{effective} = contribution \: by \: the \: 8 \: corners \: + contribution \: by \: the \: body \: centre[/tex]

[tex]\implies \: (\frac{1}{8} \times 8) \: + \: 1 \\ \\ \implies \: 1 + 1 \\ \\ \implies2[/tex]

And ,

[tex]N _{a} = 6 \times 10 {}^{23} [/tex]

Substituting the values of the following in the formula of Density , we get

[tex]\bold\purple{Density = \frac{2 \times M}{6 \times 10 {}^{23} \times a {}^{3} }} \\[/tex]

hope helpful :D


Related Questions

two thin lenses of focal length 10cm and 20cm are placed in contract calculate the effective power of the combination​

Answers

Answer:

20/3

Explanation:

We can use the formula : 1/R1 + 1/R2 = 1/f here
Therefore 1/10 + 1/20 = 3/20
And as it is 1/f its reciprocal will be 20/3

a rescue diver of mass 89 kg jumps from a hovering helicopter into the ocean below, what is the diver's speed (in m/s) when he hits the water

Answers

Answer:

Need the HEIGHT of the helicopter to complete this answer

Explanation:

PE  (=mgh) is converted to KE  ( = 1/2 mv^2 )

mgh = 1/2 m v^2

gh = 1/2 v^2

v^2 = 2 gh

v = sqrt (2gh) = sqrt ( 2 * 9.8 * h)

The way roughness of surfaces affects kinetic friction is called the __________ of kinetic friction?

Answers

Answer:

coefficient

Explanation:

FM radio means what?
Question 3 options:


Frequency measured in megahertz


Frequency measured in kilohertz


Frequency measured in hertz


Frequency measured in gigahertz

Answers

Answer:

frequency measured in megahertz

Suppose a spacecraft of mass 17000 kg is accelerated to 0.14c. How much kinetic energy would it have? If you used the classical formula for kinetic energy, by what percentage would you be in error?

Answers

Answer:

1.32% error

Explanation:

You can derive the relativistic kinetic energy by integrating the velocity function over a differential change in momentum. Then use integration by parts to get the answer of:

[tex]KE=mc^2[gamma-1][/tex]

Gamma is the lorentz factor equal to:

[tex]gamma=\frac{1}{\sqrt{1-(v/c)^2}}[/tex]

Therefore the relativistic kinetic energy would be:

[tex]KE=mc^2[\frac{1}{\sqrt{1-(v/c)^2}}-1][/tex]

Plug everything in to get:

[tex]KE=(17000)(3x10^8)^2[\frac{1}{\sqrt{1-(0.14c/c)^2}}-1][/tex]

[tex]KE=(17000)(9x10^{16})[\frac{1}{\sqrt{1-0.0196}}-1][/tex]

[tex]KE=1.53x10^{21}[\frac{1}{\sqrt{1-0.0196}}-1][/tex]

[tex]KE=1.52x10^{19}J[/tex]

The classical non-relativistic formula for kinetic energy is:

[tex]KE=\frac{1}{2} mv^2[/tex]

Therefore the classical kinetic energy is:

[tex]KE=1.50x10^{19}J[/tex]

Use the error percentage formula, found online if you dont recall:

[tex]error=\frac{|KE_c-KE_r|}{KE_r} \frac{100}{1} =1.32[/tex]

The fundamental frequency of a musical note is 330Hz. Which harmonic is this?

Answers

Answer:

it is a type of even harmonic

Which parts of an X-ray image appear white because few X-rays reach the
detector?
A. Those that show where tissues transmitted the most X-rays
B. Those that show where tissues refracted the most X-rays
O C. Those that show where tissues reflected the most X-rays
D. Those that show where tissues absorbed the most X-rays

Answers

Answer:

D

Explanation:

Those that show where tissues absorbed the most X-rays.

"The greater the height of an object, the *BLANK* its gravitational potential energy."

please help thank u!

Answers

Answer:

the greater the height of an object the *greater* its gravitational potential energy

greater

The answer is greater


7. The speed of a wave is 65 m/s. If the wavelength is 0.8 meters, what is the frequency of the wave?


Answers

Explanation:

velocity = wavelength × frequency

65 = 0.8 × frequency

frequency = 65/0.8=81.25Hz

what is the type of energy possessed by moving water?

Answers

Answer:

hydro energy.

Explanation:

The energy possessed by fast-moving water is called hydro energy

PLS HELP!!
The speed of light is 300,000,000 m/s. What is the frequency of microwaves with a wavelength of 0.01 meter?

Answers

Answer:

c = 3.00E8 m/s      speed of light

c = f * λ        frequency ^ wavelength

f = c / λ  = 3.00E8 m/s / .01 m = 3.00E10 / sec

f = 30,000,000,000 /sec

A car moving south speeds up from 10 m/s to 40 m/s in 15 seconds. What is the car’s acceleration?

Answers

Explanation:

Initial velocity ( u ) = 10 m/s

Final velocity ( v ) = 40 m/s

Time taken ( t ) = 15 second

Now

[tex]acceleration = \frac{v - u}{t} \\ = \frac{40 - 10}{15} \\ = 2m /{s}^{2} [/tex]

Calculate the useful output energy of an electric motor which is 70% efficient if it uses 600 J of electrical energy.

Answers

Answer:

420J

Explanation:

The formula (useful output ÷ total output) × 100 is used. We need to find the the useful output. So:

(useful ÷ 600) × 100 = 70(%)

We rearrange the formula so that 'useful' is the subject of the equation.

useful ÷ 600 = 0.7 {70 ÷ 100}

useful = 0.7 × 600

useful = 420J

what are two ways an object can gain more gravitational potential energy?

Answers

When an item is raised, the work is done in opposition to gravity. When an item is worked on, energy is transmitted to it, and it develops gravitational potential energy. If the same thing falls from that height, gravity must do the same amount of effort to bring it back to the Earth's surface.

The heavier the object and the higher it is above the ground, the more gravitational potential energy it holds. Gravitational potential energy increases as weight and height increases.

What is the wave where the oscillation is perpendicular to the direction
of motion.

Answers

A. Oscillating magnetic fields are parallel to oscillating electric fields, which are perpendicular to the direction of wave motion.

Part 1
An engine absorbs 1969 J from a hot reservoir and expels 1223 J to a cold reservoir in each cycle. What is the engine’s efficiency? Answer with an efficiency in decimal form.


Part 2
How much work is done in each cycle?
Answer in units of J.


Part 3
What is the mechanical power output of the engine if each cycle lasts for 0.345 s?
Answer in units of kW

Answers

Answer:

Part 1: 0.3789

Part 2: 746 J

Part 3: 2.162 kW

Explanation:

Part 1:

Eff=  [tex]1-\frac{1223}{1969}[/tex]

Eff= 0.378873 ≈ 0/3789

Part 2:

W= 0.3789(1969)

W= 746 J

Part 3:

[tex]Power=\frac{W}{t}[/tex]

[tex]Power= \frac{746}{0.345}[/tex]

Power= 2162.3188 Watts

2162.3188 W-----> 2.162 kW

If a electrician measures the current of a circuit to be 100 Amps and the circuit is only designed to have a current of 80 Amps, which of the following is the best explanation of what has happened to the circuit ?

A. a There are too many batteries in the circuit.
B. There are too many resistors in the circuit.
C. A battery in the circuit is missing.
D. A resistor in the circuit is missing.

Answers

There are too many batteries in the circuit, which increased the emf of the circuit and in turn increased the current in the circuit.

Current in the circuit

The current in the circuit is determined by applying Ohms law as shown below;

V = IR

where;

I is the currentV is the voltageR is the resistance

I = V/R

At a constant resistance of the circuit, the current in a circuit will increase when the emf of the circuit increases.

Thus, we can conclude that, there are too many batteries in the circuit, which increased the emf of the circuit and in turn increased the current in the circuit.

Learn more about current in circuit here: https://brainly.com/question/13195529

Styrofoam holds onto its electrons because is has a high _____ for them.

a
polarization
b
affinity
c
insulator
d
conductor

Answers

Answer:

Polarization

Explanation:

Obviously, B wouldn't be it as objects don't have feelings. C, and D wouldn't be it also because the grammar of it doesn't fit.

The answer is polarization

29. All living organisms contain carbon. As organisms grow, they require
large quantities of carbon to carry out life processes and make new cells.
Where is the source of most of Earth's available carbon?

A. New carbon atoms are constantly being created by the process of
photosynthesis.
B. Carbon atoms are constantly transferred from the Sun to Earth along
with sunlight
C. Carbon is constantly transported from the mantle to the crust by volcanic
eruptions.
D. Carbon is constantly recycled from dead organisms back into the
environment.

Answers

Answer:

The answer will be D/ Carbon is constantly recycled from dead organisms back into the

environment.

The source of most of Earth's available carbon is: carbon is constantly recycled from dead organisms back into the environment. Hence, option (D) is correct.

What is carbon cycle?

The carbon cycle is the exchange of carbon compounds between the earth's biosphere, geosphere, pedosphere, hydrosphere, and atmosphere.

The following are the major steps in the carbon cycle process:

Plants absorb carbon from the atmosphere in order to perform photosynthesis.Animals consume these plants, and carbon is bioaccumulated in their bodies.When these animals and plants die, carbon is released back into the atmosphere as they decompose.Some of the carbon that is not re-emitted into the atmosphere is converted into fossil fuels.These fossil fuels are then used for man-made activities that release additional carbon into the atmosphere.

Learn more about carbon cycle here:

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Question 8
What is the mass of an object if it takes a net force of 2,400 Newtons
to accelerate it at a rate of 60 m/s2?

Answers

Answer:

It has a mass of 40 kg.

Explanation:

Because Force = mass x Acceleration or F = m a, we could say that the mass is force/acceleration which in your case is 2,400/60 which equals 40 kg.

What is the term for trade without barriers, tariffs, or quotas?
A. Free trade
B. Trade deficit
C. Surplus trade
D. Trade bloc

Answers

I think its free trade

The current in the wires of a circuit is 120.0 milliAmps. If the
resistance of the circuit were halved (i.e., reduced to one-
half the original value) (with no change in voltage), then its
new current would be
milliAmps.

Answers

If the resistance of the circuit were halve and the voltage remains constant, the new current in the circuit would be 240 mA.

Current in the circuit

The current in the circuit is inversely proportional to the resistance of the circuit. This implies that the increase in the resistance of the circuit decreases the current in the circuit.

V = IR

At constant voltage;

I₁R₁ = I₂R₂

when, R₂ = 0.5R₁

I₂ = I₁R₁ /R₂

I₂ = I₁R₁ /0.5R₁

I₂ = 2I₁

I₂ = 2 x 120 mA

I₂ = 240 mA

Thus, if the resistance of the circuit were halve and the voltage remains constant, the new current in the circuit would be 240 mA.

Learn more about resistance of circuit here: https://brainly.com/question/1851488

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When in a crowd, individuals may lose awareness of their own sense of individuality, and as a result may avoid taking responsibility or action.

True or false ?

Answers

True that should be the answer

Weather hazards and natural disasters such as tsunamis, earthquakes, and flooding are considered which type of migration factor?
A. Pull factor
B. Both push and pull factors
C. Neither push or pull factor
D. Push factor

Answers

Push factor.

Push factors lead people to leave their current location
Pull factors lead people to come to a specific location

[brainliest appreciated]

Answer:

D. Push Factor

Explanation:

Pull factors are known as positive aspects of a place that make people want to stay/remain in that area.Push factors are known as negative aspects of a place that make people want to leave/depart from that area.

Weather hazards and natural disasters are horrendously negative things that people actively seek to avoid; they make people want to leave or depart from an area in order to escape them. As such, they are considered push factors.

(Weather hazards and natural disasters are not pull factors because when discussing push vs pull we are specifically describing the mentioned factor. This aspect is not considered both because the migration factor mentioned in this question actively makes people want to move to any area that avoids their issue. Remember that pull factors make people want to move to a specific place for a unique advantage, while push factors make people want to move to any general place for a common advantage.)

What is the surface area of the right cone below?
OA. 63 units²
15
OB. 99 units²
O C. 126 units²
13
OD. 54 units²

Answers

Answer:

option d is the answer of given statement

The surface area of the right cone is 54π units². Hence option D correct.

What is Surface Area ?

The surface area of a solid object is a total area measured that the surface of the object occupies. the surface area of the cube is 6 times side², cause it has 6 faces.

The surface area is total area occupied by the surface of the object.

A cone is geometrical shape which is having circular base and cone shaped body. when a line is drawn from tip to the center of the base it will make right angle between radius and height of the cone. We can apply Pythagoras theorem to get values of radius, height and hypotenuse.

The total area of the cone is nothing but area of the base plus curved area of the body.

Hence area of the cone is,

A = πr²+πr[tex]\sqrt[]{r^{2}+h^{2} }[/tex]

Given,

r = 3

hypotenuse = [tex]\sqrt[]{r^{2}+h^{2} }[/tex] = 15

A = ?

A = π3²+π3*15

A = π (9+45)

A = 54π units²

Hence area of the cone is 54π units².

To know more about cone :

https://brainly.com/question/16394302

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What scientific process would you be using as you identified the characteristics of the buttery
and leaves?

Answers

Answer:

The butterfly and moth develop through a process called metamorphosis.

Explanation:

hoped i helped

The frequency of a wave does not change as it passes from one medium to another.
What will most likely happen if a light wave moves from the air into a solid?
The wavelength of the light wave will increase.
The speed of the light wave will decrease.
The wavelength of the light wave will remain the same.
The speed of the light wave will remain the same.

Answers

Answer:

The Speed Of The Lightwave Will Be Modified As It Enters Another Medium (State Of Matter)

Explanation:

As The Lightwave Enters The Medium The Light Will Bend Toward The Normal E.g. Incident Ray Which Indicates It Will Modify It's Speed But When it Leaves The Medium It Will Increase Until As It Leaves The Sold

Answer:

B

Explanation:

its B on Edge

name some factors that would increase braking distance with word not calculation​

Answers

poor road and weather conditions, such as wet or icy roads.
poor vehicle conditions, such as worn brakes or worn tyres.
a greater speed.
the car's mass – more mass means a greater braking distance.

five physical properties of metals

Answers

Metals are malleable and ductile.
Metals are good conductors of heat and electricity.
Metals are lustrous (shiny) and can be polished.
Metals are solids at room temperature (except mercury, which is liquid).
Metals are tough and strong.
hope this helps!

A 15-kg object accelerates at 3 m/s2. What is the net force acting on the object?

Answers

Answer:

Fnet = 45N

Explanation:

Fnet = m.a

= (15)(3)

= 45N

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