Suppose that 80 L of a gas has a gauge pressure of 2 atm and a temperature of 300 K. How many molecules are there in the gas? (1 atm = 1.013 x 105 Pa, R-8314 J/(mol K), №-6022 x 1023) Select one a. 9.75 b. 5.87 x 1024 c. 5.87 x 102 d. 6.02 x 1023

Answers

Answer 1

According to the solving molecules are there in the gas thus, option (b) 5.87 x 10²⁴ is the correct answer.

Given conditions:

Volume, V = 80 L

Pressure, P = 2 atm

Temperature, T = 300 K

The Ideal Gas Equation is

PV = n RT

Where, P is pressure in Pa V is volume in m³n is the number of moles R is the gas constant T is the temperature in K The pressure needs to be converted from atm to

Pa.1 atm = 1.013 x 105 Pa

So,2 atm = 2 × 1.013 x 105

Pa= 2.026 x 105 Pa

The gas constant, R = 8314 J/(mol K)

To convert this into J/(molecule K), we have to divide it by Avogadro's number, № which is 6.022 x 10²³ mol⁻¹.

R/nᵢ = R/№k Where,

k = Boltzmann constant = R/№k

= R/№

= 8314/6.022 x 10²³k

= 1.38 x 10⁻²³ J/K n/V

= P/RT

Here, n is the number of moles of gas in volume V.

So, the number of molecules in 80 L of gas having a gauge pressure of 2 atm and a temperature of 300 K is,

Number of molecules = 1042.87 mol/m³ × №

= 1042.87 × 6.022 × 10²³

= 6.27 × 10²⁶

Thus, option (b) 5.87 x 10²⁴ is the correct answer.

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Related Questions

multi choice
14) A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is ________J.

Answers

The kinetic energy of the ball the instant it hits the floor is 100J.

Describe energy.

Energy is a unit used to describe how much work a body can perform. It cannot be created or gotten rid of. Energy comes in a variety of forms, including thermal, electrical, nuclear, electrical fusion, and electrical. Energy has the capacity to take on different forms.

The ball's potential energy when it is on a shelf is 100 J.

The ball's potential energy from gravity begins to transform into kinetic energy as it begins to fall. Additionally, as the ball falls, its kinetic energy will rise and its potential energy will fall.

The ball's potential energy due to gravity is completely transformed into kinetic energy when it strikes the ground.

Therefore, the ball has 100 J of kinetic energy when it strikes the ground.

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The area around an electric charge that experiences the force exerted by the electric
charge.
electric field
electric force
electric poles
electric charge

Answers

The electric field

because:

It's the region of space in which an electric charge will experience a force.

why is there potential for wind energy in the upper himalayanx​

Answers

Answer:

Favorable sites include the tops of smooth, rounded hills; open plains and water; and mountain gaps that funnel and intensify wind. Wind resources are generally more favorable for electricity generation at higher elevations above the earth's surface

what is the change in magnetic potential energy of the loop from its original position to this new angled position?

Answers

The change in magnetic potential energy of a loop from its original position to a new angled position depends on the orientation of the magnetic field, the current flowing through the loop, and the angle between the loop and the field. When the angle between the loop and the magnetic field changes, the magnetic flux through the loop also changes, which results in a change in the magnetic potential energy of the loop.


The magnetic potential energy of a loop is given by the formula U = -m*B*cos(theta), where U is the magnetic potential energy, m is the magnetic moment of the loop, B is the magnetic field strength, and theta is the angle between the magnetic moment and the field. When the angle changes from the original position to a new angled position, the value of cos(theta) changes, which results in a change in the magnetic potential energy of the loop.

In general, the magnetic potential energy of a loop will increase when the angle between the loop and the magnetic field decreases, and it will decrease when the angle increases. The amount of change in magnetic potential energy will depend on the magnitude of the angle change and the strength of the magnetic field.

In conclusion, the change in magnetic potential energy of a loop from its original position to a new angled position can be calculated using the formula U = -m*B*cos(theta), where the angle theta is the difference between the original and new positions. This change in energy can be positive or negative, depending on the direction of the angle change and the orientation of the magnetic field.

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A book is sitting on a table. Which of the following is true about the table? O A. It is pushing up on the book. O B. It exerts no force on the book at all. O C. It is pulling down on the book. D. It can affect the mass of the book.​

Answers

Answer:

yes it does exert a force, it pushes it up

Explanation:

this is called normal force

if it didn't exert a force the book would keep going down

according to newton every force has an equal amd opposite reaction

so the book exerts a force on the table and vice versa

hope this helped

Ryan runs 50 m north and then 50 m east. What is his displacement?
O 100 meters, northeast
O 5000 meters, northeast
O 71 meters, northeast
O 50 meters, north

Answers

Answer:

Explanation:

Distance and direction of an object's change in position from a starting point. Displacement. 3. Jermaine runs exactly 2 laps around a 400 meter track. What is the displacement? 0 ... David walks 3 km north, and then turns east and walks 4 km. ... A person walks 50 meters directly north, stops, and then travels 32 meters

What is the current if 3600 C of charge passes a point in 15 min.

Answer
A)6.5A
B)3.5A
C)4A
D)1A

Answers

I believe the correct answer is B

this planet has a very toxic atmosphere that traps heat, making it the hottest planet in the solar system.

Answers

Answer:

Venus

Explanation:

basic 2nd grade smarts "no offense"

a fighter jet is launched from an aircraft carrier with the aid of its own engines and a steam-powered catapult. the thrust of its engines is 1.80 105 n. in being launched from rest it moves through a distance of 87 m and has a kinetic energy of 4.30 107 j at lift-off. what is the work done on the jet by the catapult?

Answers

A fighter jet being launched from such an aircraft carrier using a steam-powered catapult and its own engines. Its engines produce 2.3 x 105 N of thrust.

What speed is reached when a jet fighter aircraft is fired from a slingshot on an aircraft carrier?

42 m/s On an aircraft carrier, a catapult is used to launch a jet fighter. Just at end of the sling, it takes 2 seconds to achieve velocity of 42 m/s. What is the catapult's length if the acceleration is constant?

How strong is the aircraft carrier's catapult?

Catapults A 48,000-pound aeroplane was launched 300 feet and increased in speed from 0 to 165 miles an hour in two seconds by four steam-powered catapults. On every

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which type of mater conduct heat?​

Answers

Answer:

Copper is the best conductor

The best conductor would be copper.

A circuit consists of a resistor, a battery and an ammeter. The ammeter shows a current of 0.2A when the resistor is 120. If you want to get a current of 0.15A, what resistor should be used to replace the current resistor?

Answers

Answer:

A resistor of 160 ohms should be used to replace the current resistor

Explanation:

Applying,

Ohm's Law

V = IR................... Equation 1

Where V = Voltage of the battery, I = current, R = Resistance

From the question,

Given: I = 0.2 A, R = 120 ohms.

Substitute these values into equation 1

V = 0.2×120

V = 24 V

IF a current of 0.15 A is required,

make R the subject of equation 1

R = V/I............... Equation 2

Given: V = 24 V, I = 0.15 A

Substitute these values into equation 2

R = 24/0.15

R = 160 ohms.

Hence a resistor of 160 ohms should be used to replace the current resistor

a possible space habitat of the future is a cylinder in space rotating about its long axis. what is the relative gravitational field along the axis of the habitat?

Answers

The relative gravitational field along the axis of the habitat will be zero.

What is rotation?

Rotation is the process of turning depending and object around his centerpoint alexis it is a type of motion where in upset or body turnaround and internal point is alien its own exis.

As the centrifugal force due to the rotating cylinder will be exactly equal to the force of gravity. This will create a simulated gravity environment inside the habitat. The strength of the simulated gravity can be adjusted by changing the rate of rotation of the cylinder. This would provide occupants with a comfortable and safe environment to live in.

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. What is a back-and-forth movement that produces sound? vibration sound air medium

Answers

Answer:

I think it's vibration as vibration is what makes sound

Explanation:

Find the potential function and the gravitational field intensity function inside and outside of a thin ring with Radius R, in terms of r (the distance from the center of the ring to the field point.) Note: inside R >r, outside r>R. the function will be different.

Answers

The potential function and the gravitational field intensity function inside and outside of a thin ring with radius R, in terms of r (the distance from the center of the ring to the field point), are as follows:

Inside the ring (r < R): The potential function is given by V = -GM/r, and the gravitational field intensity function is E = GM/r², where G is the gravitational constant and M is the mass of the ring.

Outside the ring (r > R): The potential function is V = -GM/r + GM/R, and the gravitational field intensity function is E = GM/r², where G is the gravitational constant, M is the mass of the ring, and R is the radius of the ring.

Inside the ring (r < R), the potential function is given by V = -GM/r. This represents the gravitational potential due to the mass of the ring at a point inside the ring. The negative sign indicates that the potential decreases as the distance from the center of the ring decreases. The gravitational field intensity function is E = GM/r², representing the strength of the gravitational field at a point inside the ring. The field intensity decreases as the distance from the center of the ring increases, following an inverse square relationship.

Outside the ring (r > R), the potential function is V = -GM/r + GM/R. In addition to the potential due to the mass of the ring, there is an additional potential term GM/R, which arises from considering the ring as a point mass located at its center. The gravitational field intensity function remains the same as E = GM/r², indicating that outside the ring, the gravitational field follows an inverse square relationship with the distance from the center of the ring.

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Mars has an atmosphere composed almost entirely of carbon dioxide, with an average temperature of -63 degress C.
What is the rms speed of a molecule in Mars's atmosphere?

Answers

The rms speed of a molecule in Mars's atmosphere can be calculated using the formula v = √((3kT)/m), where v is the rms speed, k is Boltzmann's constant (1.38 x 10^-23 J/K), T is the temperature in Kelvin (210 K), and m is the mass of a carbon dioxide molecule (44.01 g/mol or 5.84 x 10^-26 kg).

Plugging in these values, we get v = √((3 x 1.38 x 10^-23 J/K x 210 K)/(5.84 x 10^-26 kg)) = 244 m/s (rounded to the nearest whole number). Therefore, the rms speed of a molecule in Mars's atmosphere is approximately 244 m/s.

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A 2 kg object is released from rest near the surface of a planet such that its gravitational field is considered to be constant. The mass of the planet is unknown. The

object's speed after falling for 3 sis 75 m/s. Air resistance is considered to be negligible, Calculate the weight of the 2 kg object on the planet of unknown mass.

2N

B

25 N

50N

D

75 N

Answers

The Answer is 50N .
A 2 kg object is released from rest near the surface of a planet such that its gravitational field is

Describe an experiment to find the density of copper turnings using a density bottle amd kerosene​

Answers

BooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooB

PLEASE ASAP ILL GIVE BRAINLIEST.

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

The answer is D I’m very sure

in lines 7-8, the narrator is trying to ________ tom when he tells him, "hush tom never mind it, for when your head's bare, / you know that the soot cannot spoil your white hair."

Answers

In lines 7-8 of the poem "The Chimney Sweeper" by William Blake, the narrator is trying to comfort Tom by telling him to not worry about the soot on his hair .

The narrator is trying to convey to Tom that the soot cannot spoil his hair, as he is a chimney sweeper and his head is always bare. The narrator is trying to make Tom feel better about his current situation by reassuring him that his white hair will remain unaffected by the soot.
The lines show the narrator's empathy towards Tom's situation as a chimney sweeper. The narrator is trying to make Tom understand that he should not worry too much about the soot and his hair. The narrator is trying to comfort Tom by telling him that there is no need to be concerned about the soot, as it cannot ruin his hair.
Overall, the narrator is trying to console Tom by showing him that his hair is still white despite being a chimney sweeper. The lines depict the narrator's compassionate and caring attitude towards Tom, trying to make him feel better about his job. The narrator is trying to show Tom that he can still have a good life, despite the difficulties that come with being a chimney sweeper.

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Sally accelerates a 250 kg cart at 3 m/s/s. What must be the net force?

Answers

750 N is what I got...

The space between two metallic coaxial cylinders of length L = 0.450 m and radii a = 1.70 cm and b = 2.70 cm is completely filled with a material having a resistivity = 33.0 m. The figure below shows a cross section of the configuration.
The space between two metallic coaxial cylinders o
a) What is the resistance between the two cylinders? Give your answer with a unit of "Ohm".
b) Find the current between the two cylinders if a potential difference of 19.0 Volts is maintained between the two cylinders.
Please answer both parts and explain how you got the answer.

Answers

The resistance between the two cylinders is  2.13 Ohm. The current between the two cylinders if a potential difference of 19.0 Volts is maintained between the two cylinders 8.92 A.

Cylinder length =  0.450 m

Radii a = 1.70 cm

Radii b =2.70 cm

resistivity = 33.0 m

a) To estimate  the resistance between the two cylinders,  the resistance of a cylindrical conductor formula is used:

R = (ρL) / A

A = π(b^2 - a^2)

Substituting the above values in A:

A = \(π(2.7^2 - 1.7^2) × 10^-4 m^2\)

Now we can calculate the resistance:

R = (ρL) / A

R = \((33.0 × 0.450) / (π(2.7^2 - 1.7^2) × 10^-4)\)

R = 2.13 Ohm

b) To find the current between the two cylinders, we can use Ohm's Law.

I = V / R

Substituting the given values, we get:

I = 19.0 / 2.13

I = 8.92 A

Therefore, we can conclude that the current between the two cylinders is approximately 8.92 A.

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Convert 1.3 km to m

Answers

Answer: 1300m

Explain: from km to m times 1000

A toy car with mass of 3.0kg is push along the table .If the net force on the book is 15.0N what is the toy car's accelaration?

Answers

Answer:

a = 5

Explanation:

F = M × A

15 = 3 × a

a = 15 / 3

a = 5

This is only if the toy can is pushing the book or smth coz the question looks incomplete...?

Answer:

5 m/s^2

Explanation:

Realize that Newton's Second Law explains that the net force is equal to the mass mulitplied by the acceleration, or in simple terms, F=ma. In the problem, the force is 15 newtons, and the mass is 3 kg. Substiting and dividing, we get 5 m/s^2 (5 meters per second squared).

What is the force on a 1025 kg elevator that is falling freely at 9.8 m/sec 2?


Answers

Answer:

Given :-Mass = 1025 kgAcceleration = 9.8 m/s²To Find :-

Force

Solution :-

We know that

F = mg

F = 1025 × 9.8

F = 10,045 N

Or,

10045/1000 = 10.045 Kilo Newton

\( \\ \)

A force of 186 N acts on a 7.3 kg bowling ball for 0.40 s. What is the ball’s change in momentum

Answers

A force of 186 N acts on a 7.3 kg bowling ball for 0.40 s. then the ball’s change in momentum is 74.4 Ns.

Momentum is defined as mass times velocity. it tells about the moment of the body. it is denoted by p and expressed in kg.m/s. mathematically it is written as p = mv. A body having zero velocity or zero mass has zero momentum. its dimensions is [M¹ L¹ T⁻¹]. Momentum is conserved throughout the motion. According to conservation law of momentum initial momentum is equal to final momentum.

Change in momentum with respect to time is force,

F = Δp/Δt

Hence change in momentum is equal to,

Δp=F ×Δt

Δp= 186 × 0.40

Δp= 74.4 Ns

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using the variation of parameter formula determine the general solution of t2y′′ 3ty′ y = ln(t) t > 0.

Answers

The general solution is y(t) = c1t + c2t ln(t) - (1/3)ln(t), where c1 and c2 are arbitrary constants.

How to find general solution?

To find the general solution of the differential equation\(t^2\)y'' + 3ty' + y = ln(t), where t > 0, we can use the method of variation of parameters.

First, we find the complementary solution by solving the associated homogeneous equation\(t^2\)y'' + 3ty' + y = 0. This equation can be rewritten as \(t^2\)y'' + 3ty' + ty' + y = 0, and factoring out y' gives t(ty')' + (ty)' = 0. Integrating this equation, we obtain ty' + ty = c1, where c1 is a constant.

Now, we assume the particular solution as y_p = u(t)y1 + v(t)y2, where y1 and y2 are linearly independent solutions of the homogeneous equation. Differentiating y_p twice and substituting it into the original equation, we can solve for u'(t) and v'(t) using the formulas:

u'(t) = -(y2 ln(t))/(W(t)y1)

v'(t) = (y1 ln(t))/(W(t)y2)

Here, W(t) is the Wronskian of y1 and y2. After integrating u'(t) and v'(t), we can substitute the obtained expressions back into the particular solution equation to find the general solution.

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Two identical balls are thrown from the top of a cliff, each with the same speed. One is thrown straight up, the other straight down. How do the kinetic energies and speeds of the balls compare as they strike the ground?

A) The ball that is thrown straight up will have more kinetic energy but less speed than the ball that is thrown straight down.

B) The ball that is thrown straight up will have more kinetic energy and more speed than the ball that is thrown straight down.
Both balls will have the same kinetic energy and speed.

C) The ball that is thrown straight up will have more kinetic energy but less speed than the ball that is thrown straight down.

D) The ball that is thrown straight down will have more kinetic energy and more speed than the ball that is thrown straight up.

Answers

Answer:

the answer is B.

Explanation:

The ball that is thrown straight up has more kinetic energy and more speed than the ball that is thrown straight down. Both balls have the same kinetic energy and speed.

What is the kinetic energy and potential energy?

The kinetic energy of a body can be determined as the energy of a moving physical system because of its motion. Work has to be done on an object to change its kinetic energy.

The kinetic energy of the moving system can be expressed as K.E. = ½mv²  where ‘m’ is mass while ‘v’ is the velocity of the object.

The potential Energy of the physical system can be described as the energy stored due to its position. The mathematical formula for the calculation of the potential energy can be expressed in the form of P.E = m×g×h where ‘g’ is the gravitational acceleration, ‘m’ is the mass and ‘h’ is the height in meters

When two identical balls are thrown from a cliff, each with the same speed. One ball is thrown straight up, and the other ball is straight down. Both balls will have the same kinetic energy as well as speed.

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A car traveled 1,215 km West from El Paso to Dallas in 13.5 hours. What was its velocity?

A. 90m/s West

B. 90km/h

C. .09km/h West

D. 90km/h West

Answers

............The answer is B

please help the picture is above !

please help the picture is above !

Answers

Answer:

its C- 20

Explanation:

What does storm signal number 1 mean?

Answers

Storm signal number 1 is a form of weather caution issued via the Philippine Atmospheric, Geophysical, and Astronomical Services Administration (PAGASA) to alert the public to the opportunity of a tropical cyclone entering the USA.

When a storm sign number 1 is raised, it method that a tropical cyclone, along with a tropical despair or tropical hurricane, is expected to affect a particular region within the next 36 hours.

The winds related to the cyclone aren't yet strong sufficient to cause widespread harm, but they may be sufficient to disrupt transportation and different outside sports.

Throughout storm sign number 1, the general public is cautioned to be vigilant and take precautions, which include securing loose items and staying indoors if feasible.

Fishermen are recommended to keep away from going out to sea, and small vessels are cautioned to take refuge. PAGASA issues hurricane signal warnings up to a wide variety of five, with better numbers indicating more intense climate situations.

The warnings are a crucial tool for helping the general public to put together for and stay safe throughout tropical cyclones, which could reason extensive damage and loss of life within the Philippines.

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