The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. By what factor does the temperature increase?

Answers

Answer 1

Answer: 1.24

Explanation:

Given

Volume becomes half and pressure increases by a factor of 2.5

In adiabatic process [tex]PV^{\gamma}=\text{constant}\ \text{or}\ TV^{\gamma}=\text{constant}[/tex]

Finding out [tex]\gamma[/tex] first

[tex]\Rightarrow PV^{\gamma}=2.5P(0.5V)^{\gamma}\\\\\Rightarrow \left(\dfrac{V}{0.5V}\right)^{\gamma}=2.5\\\\\Rightarrow 2^{\gamma}=2.5\\\\\text{Taking log both side}\\\\\Rightarrow \gamma=\dfrac{\ln (2.5)}{\ln (2)}\\\\\Rightarrow \gamma=1.32[/tex]

Applying same principle for Temperature

[tex]\Rightarrow TV^{1.32-1}=T'(0.5V)^{1.32-1}\\\\\Rightarrow T'=(2)^{0.32}T\\\\\Rightarrow T'=1.24T[/tex]

Thus, the temperature increases by a factor of [tex]1.24[/tex]

Answer 2

The factor by which the temperature increases is; 1.24

How to find increase in temperature in an adiabatic process?

In thermodynamics, an adiabatic process is one that happens when there is zero heat transfer between the system and its environment. Thereafter, the internal energy change becomes the total work done by the system. The formula associated with this process for an ideal gas is;

[tex]PV^{\gamma }[/tex] = Constant

We are told that there is an increase in pressure by a factor of 2.5 and that the volume is halved. Thus, we will have;

[tex]PV^{\gamma} = 2.5P(0.5V)^{\gamma}[/tex]

This will be simplified to;

[tex](\frac{1}{0.5})^{\gamma} = 2.5[/tex]

⇒ [tex]\gamma = \frac{In2.5}{In 2}[/tex]

γ = 1.32

Now, If the volume expands in an adiabatic process, then the volume temperature relation is expressed as:

[tex]T_{1}V_{1}^{\gamma - 1 } = T_{2}V_{2}^{\gamma - 1 }[/tex]

[tex]T_{1}V_{1}^{1.32 - 1 } = T_{2}(0.5V_{1})^{1.32 - 1 }[/tex]

Simplifying this gives;

T₁ = 1.24T₂

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Related Questions

At what point will the electric field of a charged object be strongest?

A where the electric field lines are perpendicular to the equipotential line

B. where the electric field lines are farthest apart

C. where the electric field lines are closest together

D. where the electric field lines are parallel to the equipotential line​

Answers

Answer:

The answer is C because they have to be close to be able to interact

Answer:

C. where the electric field lines are closest together 

Explanation:

Un campo eléctrico es creado por una carga eléctrica de 5 microcoulomb, a 35 cm se coloca una carga de prueba la cual es atraída por una fuerza de 1,5 N. Determinar:

Answers

Answer:

Supongo que queremos determinar la carga de la carga de prueba.

Sabemos que la fuerza culombiana entre dos cargas q₁ y q₂, separadas por una distancia R, está dada por:

[tex]F = k_c*\frac{|q_1*q_2|}{R^2}[/tex]

Aislandolo para una de las cargas, obtenemos:

[tex]\frac{F*R^2}{kc*|q_1|} =|q_2|[/tex]

En este caso sabemos:

fuerza atractiva, por lo que los signos de las cargas son opuestos.

q₁  = 5 mC

R = 35cm

F = 1.5 N

Kc = 9*10^9 N*m^2/C^2

Un primer paso, seria reescribir todos los valores en las mismas unidades.

Sabiendo que:

100cm = 1m

R = 35cm = (35/100) m = 0.35m

Y sabiendo que:

1mc = 1*10^(-6) C

Entonces:

q₁  = 5 mC = 5*1*10^(-6) C = 5*10^(-6) C

Ahora podemos reemplazar esos valores en la ecuación de la fuerza, para obtener el valor de la otra carga:

[tex]\frac{15N*(0.35m)^2}{(9*10^9 N*m^2/C^2)*5*10^{-6}C} =|q_2| = 4.08*10^{-5} C[/tex]

Y recordar que las cargas tienen signo opuesto, entonces la carga de la carga de prueba es:

q₂ = -4.08*10^-5 C

How to find the total displacement of an object ?

Answers

Answer:

it can be calculated by measuring the final distance away from a point, and then subtracting the initial distance

A ball is rolling along a straight and level path. The ball is traveling at a constant speed of 2.0 m/s. The mass of the ball is 3.0 kg. What is the kinetic energy of the ball?
A. 6.0 J
B. 9.0 J
C. 12.0 J
D. 3.0 J

Answers

Hope this is correct A. 6.0J

4. A motorist travels 406 km during a 9.0 hr period. What was the average speed in km/hr and m/s?

Answers

Answer:

45.11 kmph and 12.530 m/s

Explanation:

Average speed = Total distance travelled / Total time taken

406/9 gives the answer in kilometers

And we convert it to m/s by multiplying it with 1000/3600

The rate at which electric
charges flow through a
circuit

Answers

Answer:

The answer is Current.

How couple is produced in bicycle? What causes the wheels of bicycle to rotate?

Answers

Answer:

A Couple in a bicycle is usually generated by the gravitational force and the corresponding reaction forces of the floor. A couple is a force which encourages or prevents a body turning in motion.

The wheels help in the movement and motion of the bicycle from point A to B. The chain which connects different parts help in the rotation of the bicycle wheels through the movement of the pedals by the legs

46. Nuclear generating plants use the potential
energy stored in
to generate electrical
energy. (12.5)

Answers

Answer:

nuclear battery to generate energy

hmkjiji8gjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answers

Is this by accident,either way thank you

Seeing these new artifically designed creatures at home, as the result of breeding, he coined the term ____ ______ to explain the variation of species around the islands and (by extension of his theory) also around the world.

Answers

Answer: Artificial Selection

Explanation: Artificial Selection is described as the identification of desirable traits in both plants and animals, then enhance them, so that those traits can be manifested in future generations.

This is the scope behind cross breeding of plants and animals and this have largely been used in agricultural sector to improve input (such as disease-resistant seeds) and other biotechnological settings.

Darwin's described artificial selection as the human form of natural selection.

What is moment? Write down the law of moment.A long spanner is used to unscrew the tight nut.Why?​

Answers

Answer:

Moment is the product of force and its perpendicular distance from a point along its line of action.

The net moments on clockwise and anticlockwise is zero at a point.

The net force applied on a spanner handle is equal to the moment of the rotation

goodie morning
—————————

what is nitric acid?​

Answers

Answer:

Nitric acid, also known as aqua fortis and spirit of niter, is a highly corrosive mineral acid. The pure compound is colorless, but older samples tend to acquire a yellow cast due to decomposition into oxides of nitrogen and water. Most commercially available nitric acid has a concentration of 68% in water.

Explanation:

Good morning...

Nitric acid production is mainly driven by fertilizer industry. Nitric acid is used in the production of ammonium nitrate and calcium ammonium nitrate which find applications as fertilizers.

need help with this!

just scienceeeeeee

Answers

Answer:

7)  λ = 0.5 m,  8)  f = 4.8 10¹⁴ Hz

Explanation:

The speed of an electromagnetic wave is

          c = λ f

where c is the speed of light in vacuum c = 3 10⁸ m / s

7) indicate the frequency f = 6.0 10⁸ Hz

we do not know the wavelength

         λ = c / f

       

we calculate

        λ = 3 10⁸ / 6.0 10⁸

        λ = 0.5 m

8) indicate the wavelength  λ = 6.25 10-7 m

we do not know the frequency

         f = c / λ

we calculate

        f = 3 10⁸ / 6.25 10⁻⁷

        f = 0.48 10¹⁵ Hz

        f = 4.8 10¹⁴ Hz

A container of gas is at a pressure of 3.7 x 10^5 Pa. How much work is done by the gas if its volume expands by 1.6 m^3 ?

Answers

Answer:

592000 J

Explanation:

We'll begin by converting 3.7×10⁵ Pa to Kg/ms². This can be obtained as follow:

1 Pa = 1 Kg/ms²

Therefore,

3.7×10⁵ Pa = 3.7×10⁵ Kg/ms²

Next, we shall determine the workdone.

Workdone is given by the following equation:

Workdone (Wd) = pressure (P) × change in volume (ΔV)

Wd = PΔV

With the above formula, the work done can be obtained as follow:

Pressure (P) = 3.7×10⁵ Kg/ms²

Change in volume (ΔV) = 1.6 m³

Workdone (Wd) =?

Wd = PΔV

Wd = 3.7×10⁵ × 1.6

Wd = 592000 Kgm²/s²

Finally, we shall convert 592000 Kgm²/s² to Joule (J). This can be obtained as follow:

1 Kgm²/s² = 1 J

Therefore,

592000 Kgm²/s² = 592000 J

Therefore, the Workdone is 592000 J.

A function is defined by f(x)= 6x+1.5. What is f(2.5)?

Answers

Answer:

f(2.5) = 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Explanation:

Step 1: Define

Identify

[Function] f(x) = 6x + 1.5

[Given] f(2.5) is x = 2.5 for function f(x)

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(2.5) = 6(2.5) + 1.5Multiply:                                                                                                             f(2.5) = 15 + 1.5Add:                                                                                                                   f(2.5) = 16.5

magnification produced by a rear view mirror fitted in vehicle is less than one or more than one or equal to one​

Answers

Could you be more descriptive?

Find the answer for number 25.

Answers

We are given:

Mass of load = 140 kg

Acceleration = 0.4 m/s² downward (from Q24)

24. Finding the tension in the cable:

Ma = Mg - T

where 'a' is the acceleration of the load and T is the tension in the cable

replacing the variables, we get:

(140)(0.4)  = (140)(9.8) - T

T = (140)(9.8) - (140)(0.4)

T = 1372 - 56

T = 1316N

25. Finding the distance covered when the load accelerates for 20 s:

in this case, the load will start from rest

so, initial velocity = 0 m/s

acceleration = 0.4 m/s²

from the second equation of motion:

s = ut + (1/2)at²

where s is the distance covered, u is the initial velocity and t is the time taken

s = (0)(20) + (1/2)(0.4)(20)²

s = 0 + 0.2*(400)

s = 80 m

here we didn't take the acceleration due to gravity of the mass into consideration because it is connected to the crane, which would act against any forces and since we are given that the total acceleration is 0.4 m/s², we will just assume that it's the final acceleration of the mass

Que capacidade física consiste em deslocar o corpo no espaço o mais rápido possível, mudando o centro de gravidade de posição, sem perder o equilíbrio e a coordenação dos movimentos?

Answers

Answer:ur mom

Explanation:because

Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. The best type of graph to illustrate the change in air temperature over a period of time would be a _________ graph. a. circle b. line c. bar d. all of these Please select the best answer from the choices provided A B C D

Answers

Answer:

B line graph

Explanation:

sorry if I am wrong

Answer:

b

Explanation:

A force of 20 N acted on a 5 kg object, moving it a distance of 4 m. How much work was done on the object?

Answers

Answer:

400J

Explanation:

The work done by the force on the object is 80 J.

What is work ?

The work is defined by the product of force and displacement. Its unit of measurement is joule. And the formula is,

Work = Force ×Displacement

Or mathematically it is W = F.d

In the question given data ,

     [tex]F = 20N , d = 4m\\[/tex]

putting in the above formula ,

       W = 20 × 4

       W = 80 J

Hence the work done by the force is 80J.

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CAN SOMEONE PLS HELP ME ILL GIVE YOU BRAINLIEST

A 7000 N braking force is used to slow a car down. The car was traveling at 25 m/s before the
brakes were applied and was traveling at 5 m/s after 6 seconds. What is the mass of the car?

Answers

Mass of the are is 2100 kg
Step by step explanation is here!!!

Which statements describe acceleration? Check all that apply.
Negative acceleration occurs when an object slows down in the positive direction.
Negative acceleration occurs when an object slows down in the negative direction
Negative acceleration occurs when an object speeds up in the negative direction.
O Positive acceleration occurs when an object speeds up in the positive direction.
Positive acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object slows down in the negative direction.

Answers

Answer:

Negative acceleration occurs when an object slows down in the positive direction.

Negative acceleration occurs when an object speeds up in the negative direction.

Positive acceleration occurs when an object speeds up in the positive direction.

Positive acceleration occurs when an object slows down in the negative direction.

Explanation:

Basically same sign is speeding up and different sign is slowing down

Si un movil parte del reposo logrando una aceleracion de 5 metros por segundo al cuadrado durante 8 segundos calcular la velocidad final

Answers

Answer:

Velocidad final, V = 40 m/s

Explanation:

Dados los siguientes datos;

Aceleración = 5 m/s²

Velocidad inicial = 0 m/s (ya que comienza desde el reposo)

Tiempo = 8 segundos

Para encontrar la velocidad final, usaríamos la primera ecuación de movimiento;

[tex] V = U + at[/tex]

Dónde;

V es la velocidad final. U es la velocidad inicial. a es la aceleración. t es el tiempo medido en segundos.

Sustituyendo en la fórmula, tenemos;

[tex] V = 0 + 5*8 [/tex]

[tex] V = 0 + 40 [/tex]

[tex] V = 40 [/tex]

Velocidad final, V = 40 m/s

Solve the rational equation:
5x/x+2 = 3x/x+1

Answers

Answer:

x = 1/2

Explanation:

5x/x + 2 = 3x/x + 1

do cross multiplication

(x + 2) * 3x = (x + 1) * 5x

3x^2 + 6x = 5x^2 + 5x

6x - 5x = 5x^2 - 3x^2

x = 2x^2

x/x^2 = 2

1/x = 2

1 = 2x

1/2 = x

A standing wave measures 12 m between its first and fourth node and its frequency 325 Hz. What is the standing wave's speed?
1300 m/s
380 m/s
1500 m/s
750 m/s

Answers

Answer:

1300 m/s

Explanation:

Applying,

v = λf/2............... Equation 1

Where v = velocity or speed of wave, f = frequency of wave, λ = wavelength of wave.

From the question,

Given: f = 325 Hz, λ = (12×2/3) = 8 m

Substitute these values into equation 2

v = 325(8)/2

v = 1300 m/s.

Hence the standing wave speed is 1300 m/s

The right option is 1300 m/s

How long does it take you to create 200 Watts of power if you use 1000 J of
work?

Answers

Answer:200,000

Explanation:

p=w/t

200=1000/t

t=200*1000

time=200,000

Atoms are attracted to each other because____

A) electrons are attracted to protons because they have opposite charges
B) magnets pull them together
C) the protons are attracted to each other because they have the same charge
D) they have some energy

Answers

Answer:

A

Explanation:

Opposite attract. Since electrons are negative they will be attracted to the protons because they a positive

Date:
Page:
# Excercise.
7.
A very short answer questions.
what is acceleration due to gravity? what is
value of 'g’ on equatorial region and
polar region of the earth?
the

Answers

Answer:

See the answer below

Explanation:

Acceleration due to gravity (g) is the accelerational force experienced by a body as a result of the influence of the earth's gravitational force. It is a vector quantity, that is, it has both magnitude and direction.

The acceleration due to gravity is inversely proportional to the square of the radius of the earth. Hence, g at the equatorial region is slightly lesser (9.780 m/s2) than that of the polar regions (9.832 m/s2) of the earth because the earth bulges at the equator leading to a higher radius than at the poles.  

An organism that is only one cell big and has a nucleus is most likely a member of which kingdom?

Answers

Answer:

Protista

Explanation:

Taxonomy can be defined as the process of naming, classification and description of living organisms such as plants and animals. Thus, the biological classification of living organisms based on similarities or characteristics such as eyes, number of legs, etc., is generally referred to as taxonomy.

Basically, taxonomy helps scientist to have a good understanding and knowledge when studying various organisms.

Furthermore, the eight (8) biological classification (taxonomy) used for grouping and organizing organisms are; kingdom, domain, phylum, family, order, class, species and genus.

An organism that has only one cell, big and has a nucleus is most likely a member of Protista. Thus, a Protista such as euglena, paramecium, amoeba, etc., have a nucleus and are unicellular.

A unicellular organism refers to a living organism that possess a single-cell while a multicellular organism has many (multiple) cells.

True or false? Potential difference is measured in joules​

Answers

[tex]\huge\colorbox{purple}A\colorbox{blue}n\colorbox{purple}s\colorbox{blue}w\colorbox{purple}e\colorbox{blue}r [/tex]

[tex]\color{Violet}\rm{Hopeithelps!シ︎}[/tex]

uhm i think TRUE

I'm not sure hehe.

If one joule of energy is required to move one coulomb of charge through a component in a circuit, then the potential difference across the component is one volt (or 1 joule per coulomb).

__________________________________

“The Lord your God is in your midst — a warrior bringing victory. He will create calm with his love; he will rejoice over you with singing.” — Zephaniah 3:17 ❤

__________________________________

Potential difference is measured in joules​ is true statement.

What is potential difference?

The difference in charge carriers' energy between two places in a circuit is known as the potential difference.

Voltage is another name for potential difference (p.d.), which is expressed in volts (V). When charge carriers move through electrical components in a circuit, energy is delivered to those parts. To determine the potential difference, we use a voltmeter (or voltage).

The amount of current multiplied by the resistance equals the potential difference, which is the same as voltage. One Coulomb of charge uses one Joule of energy to move between two points in a circuit, which is equal to a potential difference of one Volt.

Therefore, Potential difference is measured in joules​ is true statement.

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