The diameter of an atom is about 1 angstrom (10-10 m). In order to develop some intuition for the molecular scale of a gas, assume that you are considering 1 liter of air (mostly N2 and 02, with molar masses of 28 g/mol and 32 g/mol respectively) at room temperature and atmospheric pressure (about 105 Pa). As always, be sure to show your work and explain your reasoning.
a) Calculate the number of molecules in this sample of air.
b) Estimate the average spacing between the molecules.
c) Estimate the average speed of a molecule based on the Maxwell-Boltzmann distribution. Convert your answer to miles per hour.
d) Suppose that we scale up the gas so that each atom is the size of a tennis ball. We also scale up the spaces between the atoms proportionally. Now what would be the average spacing between molecules? What would be the mass of a single molecule (assuming that the density of a molecule remains the same)?
Answers
Answer:
A) 2.5 * 10^22 molecules
B) 3.33 * 10^-9 m
C) 1134 miles/hour
D) average spacing = 2.1 m , New mass = 17 kg
Explanation:
Given data :
diameter of atom = 10^-10 m
volume of air = 1 liter
molar masses : 28 g/mol of N2, 32 g/mol of O2
atmospheric pressure = 10^5 Pa
attached below is the detailed solution
Related Questions
Two cars, C and D, travel in the same direction on a long, straight section of highway. During a particular time interval Δt0, car D is ahead of car C and is speeding up while car C is slowing down 07 During the interval Δt0, it is observed that car C gains on car D (i.e., the distance between the cars decreases). Explain how this is possible, and give a specific example of such a case.
Answers
Answer:
Car C increases it velocity
Explanation:
From the problem statement, we can see that the two cars all along maintained the same velocities, even though car D was ahead, but at the said time, car C gained on car D, hence the velocity of car C increased more than that of car D, that was why the gap decreased.
A good way to exemplify this is to picture a friend stylishly waiting for you at a distance to meet with them, but they did not stop moving, they reduced their pace, you might have to increase your pace to meet with them, now you can observe the distance between you and them closes
car has a mass of 1200 kg. What is the car’s weight near the surface of the earth?
Answers
Explanation:
remember since they are asking the weight there is always gravity its 9.8m/s but approximately its 10m/s
if you stand three feet in front of a plane mirror, how far away would you see yourself in the mirror
a. 1.5ft
b. 3.0ft
c. 6.0ft
d. 12ft
Answers
Answer:
6 ft
Explanation:
A plane mirror shows you at the actual distance from the mirror, so if a person stood right next to the mirror, he/she will see your image at a distance of 3 feet but since you are at a distance of 3 ft away from the mirror and the image formed is 3 ft inside the mirror
The image will be at a distance of 6 feet from you
Consider a capacitor made of two rectangular metal plates of length and width , with a very small gap between the plates. There is a charge on one plate and a charge on the other. Assume that the electric field is nearly uniform throughout the gap region and negligibly small outside. Calculate the attractive force that one plate exerts on the other. Remember that one of the plates doesn't exert a net force on itself. (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary: .)
Answers
This question is incomplete, the complete question is;
Consider a capacitor made of two rectangular metal plates of length L and width W, with a very small gap s between the plates. There is a charge +Q on one plate and a charge −Q on the other. Assume that the electric field is nearly uniform throughout the gap region and negligibly small outside.
Calculate the attractive force that one plate exerts on the other.
Remember that one of the plates doesn't exert a net force on itself. (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary : ε0.)
Answer:
the attractive force F that one plate exerts on the other is Q² / 2ε0⊥ω
Explanation:
Given the information in the questioN;
Electric field by one plate at the pos of other plate is expressed as;
E₊ = r / 2ε0 = Q/2ε0A
SO force on the other plate
F = /QE₊ / = Q² / 2ε0A
F = Q² / 2ε0⊥ω
Therefore the attractive force that one plate exerts on the other is F = Q² / 2ε0⊥ω
The attractive force which one plate exert on the other is
[tex]F = \frac{Q^2}{2\epsilon LW}[/tex]
From the attached diagram, the charge on the rectangular plates are shown;
Force on the Electrical Fieldsince we are told the metal plates is rectangular, the area of the plate is
[tex]A = L * W[/tex]
A = AreaL = length of the plateW = width of the plateThe electrical field on one plate at one point against the other will be
[tex]E_r = \frac{r}{2\epsilon} \\E_r = \frac{Q}{2\epsilon A}\\[/tex]
The force on the other plate can be calculated as
[tex]F = |QE_r| = \frac{Q^2}{2\epsilon A}\\ F = \frac{Q^2}{2\epsilon LW}[/tex]
The attractive force which one plate exert on the other is
[tex]F = \frac{Q^2}{2\epsilon LW}[/tex]
Learn more on electrical force on a plate here;
https://brainly.com/question/3591946
https://brainly.com/question/2019284
https://brainly.com/question/14564113
A car with an initial speed of 4.30 m/s accelerates at a rate of 3 ms^2. What is the car's speed after 5 s?
Answers
Answer:
v = u + at
u = 4.30 m/s
a = 3 m/s^2
t = 5 s
v = 4.30 + (3)(5)
v = 4.30 + 15
v = 19.30 m/s
Explanation:
Hope this helps!
The diagram shows the parabolic path of a projectile that leaves the foot of a kicker with a horizontal velocity of 15 m/s and a vertical velocity of 19.6 m/s. You are asked to analyze the game film for the kicker’s attempt at the extra point. You notice that the ball fell approximately 10 m short of the goal so the team did not receive the three points for the field goal. Neglecting air resistance, use Claims, Evidence, and Reasoning to describe what factor(s) you would change to make the ball go the extra distance to cross the goal line.
Answers
Answer:
I would increase the horizontal velocity or the vertical velocity or both to make the ball go the extra distance to cross the goal line.
Explanation:
In order to increase the horizontal distance covered by the ball, we need to examine the variables involved in the formula of range of projectile. The formula for the range of projectile is given as follows:
R = V₀² Sin 2θ/g
where, g is a constant on earth (acceleration due to gravity) and θ is the angle of ball with ground at the time of launching. The value of θ should be 45° for maximum range. In this case we do not know the angle so, we can not tell if we should change it or not.
The only parameter here which we can increase to increase the range is launch velocity (V₀). The formula for V₀ in terms of horizontal and vertical components is as follows:
V₀ = √(V₀ₓ² + V₀y²)
where,
V₀ₓ = Horizontal Velocity
V₀y = Vertical Velocity
Hence, it is clear from the formula that we can increase both the horizontal and vertical velocity to increase the initial speed which in turn increases the horizontal distance covered by the ball.
Therefore, I would increase the horizontal velocity or the vertical velocity or both to make the ball go the extra distance to cross the goal line.
A peacock is flying around and its velocity v as a function of time
t is given in the graph below where rightwards is the positive velocity direction.
Answers
Answer: 3
Explanation:
khan academy
You (85 kg) are standing on the horizontal surface at the top of a cliff. The coefficient of static friction between your feet and the ground is .5 and the kinetic coefficient is .4. You have a friend (100kg) that wants to accelerate down the side of the cliff. They set up massless and frictionless pulley and secure themselves with a massless string (physics students can do these sorts of things) that is then tied around your waist. The coefficient of static friction between your feet and the ground is .5 and the kinetic coefficient of friction is .4.
Answers
Answer:
a = 7.6 m / s²
Explanation:
In this exercise we must use Newton's second law . In general, it is asked to know if the system is in equilibrium or accelerated, suppose that the system is in equilibrium
Person on top of the cliff m = 85 kg
Y axis
N - W = 0
N = w₁
N = m g
X axis
T’ -fr = 0
T’ = fr
the friction force has the formula
fr = μ N
we subtitle
T’ = μ m g
we calculate
T ’= 0.5 85 9.8
T’ = 416.5 N
This is the maximum value that the tension of the rope can have by remaining in static equilibrium.
Person on the cliff M = 100 kg
T -W = 0
T = W = M g
T = 100 9.8
T = 980 N
we see that
T> T ’
as the tension exceeds the maximum static friction force, in the system it is accelerated, so the friction coefficient decreases to μ= 0.4
We medo the problem, but with acceleration
Person on the cliff
T ’-fr = m a
a = (T '- μ mg) / m
in this case, how the rope should maintain the tension of the diagram of the person hanging
T ’= T = Mg
we substitute
a = Mg / m - very g
a = g (M / m - my)
let's calculate
a = 9.8 (100/85 - 0.4)
a = 7.6 m / s²
A runner achieves a velocity of 12.1 m/s 8.2 sec after he begins. What is
his acceleration (m/s)?
Answers
Given -
Velocity (v) = 12.1 m/sTime (t) = 8.2 secTo find -
AccelerationSolution -
★ Acceleration = velocity/ time
→ A = 12.1/8.2
→ 1.47.... m/s²
Therefore, the acceleration of the runner will be 1.47 m/s².
A rocket fires its engines to launch straight up from rest
Answers
study the four situations given in the following diagrams. In which case is the force of gravitation maximum? please help
Answers
Explanation:
The gravitational force is given by :
[tex]F=\dfrac{Gm_1m_2}{d^2}[/tex]
Force in option (1) is :
[tex]F_1=\dfrac{Gm^2}{d^2}[/tex]
Force in option (2) is :
[tex]F_2=\dfrac{Gm\times \dfrac{m}{4}}{(\dfrac{d}{2})^2}\\\\F_2=\dfrac{G\times \dfrac{m^2}{4}}{\dfrac{d^2}{4}}\\\\F_2=\dfrac{Gm^2}{d^2}[/tex]
Force in option (3) is :
[tex]F_3=\dfrac{G\times 2m\times 2m}{(2d)^2}\\\\F_3=\dfrac{4Gm^2}{4d^2}\\\\F_3=\dfrac{Gm^2}{d^2}[/tex]
Force in option (4) :
[tex]F_4=\dfrac{G\times \dfrac{m}{4}\times 4m}{d^2}\\\\F_4=\dfrac{Gm^2}{d^2}[/tex]
It is clear that in all the cases the force of gravitation is the same.
Which event is an example of vaporization?
a. Frost forms on a blade of grass
b. Perspiration dries on a person's skin.
c. The outside of a glass of water becomes moist.
d. a cloud forms in the sky
Answers
———————
A is an example of deposition (gas to solid); C is an example of condensation (gas to liquid); and D is an example of condensation, deposition, or freezing—depending on the type of cloud.
b. Perspiration dries on a person's skin.
What is vaporization?Vaporization, conversion of a substance from the liquid or solid phase into the gaseous phase.
Evaporation is a phase transition from the liquid phase to vapor (a state of substance below critical temperature) that occurs at temperatures below the boiling temperature at a given pressure.
When we are sweating:
Some of sweat has to evaporate off of your skin for this process to actually work. That's because cooling your body via sweating relies on a principle of physics called "heat of vaporization."
It takes energy to evaporate sweat off of your skin, and that energy is heat. As your excess body heat is used to convert beads of sweat into vapor, you start to cool down.
When the sweat hits the air, the air makes it evaporate (this means it turns from a liquid to a vapor.
As the sweat evaporates off your skin, you cool down.
Sweat is a great cooling system, but if you're sweating a lot on a hot day or after playing hard you could be losing too much water through your skin.
Learn more about vaporization here:
https://brainly.com/question/12625048
#SPJ2
Which of the following is an example of Newton’s first law of motion?
Answers
You didn't provide any work but here.
Explanation: Place a ball in a box and slowly push the box. Abruptly stop the box. The ball will keep moving. According to Newton's first law, an object in motion tends to stay in motion unless acted upon by an unbalanced outside force, so the ball keeps rolling even though the box has stopped.
The modernization of tennis occurred in which
country?
Answers
Answer:
The International Lawn Tennis Federation, now known simply as the International Tennis Federation, the sport's governing body, was founded in 1913, composed of 13 national tennis associations. The Modern Olympics , growing out of the ancient tradition, resurfaced under the direction of the International Olympic Committee in Athens in 1896.
Explanation:
7. A satellite's speed is 5,000 m/s. After 1 min it is 10,000 m/s. What is the
satellite's acceleration?
Answers
Answer:
5,000 m/s a minute have a nice day! :)
Acceleration is the ratio of change in velocity to the change in time. The acceleration of the satellite whose speed increased by 5000 m/s in 60 seconds is 83.3 m/s².
What is a acceleration ?Acceleration is a physical quantity which measures the rate of change in velocity of a moving object. Acceleration is a vector quantity having both magnitude and direction.
The change in magnitude or direction or both of velocity make an acceleration in the object. if the object is moving with a constant velocity, the change in direction causes an acceleration.
Given, initial velocity = 5000 m/s
final velocity= 10000 m/s
time interval = 1 min = 60 s.
acceleration = Δv/Δt
a = (10000 -5000 m/s) /60 s = 83.3 m/s²
Therefore, the acceleration of the satellite is 83.3 m/s².
Find more on acceleration ;
http://brainly.com/question/2303856
#SPJ5
Select whether the argument is an example of a deductive or an inductive argument:
If he comes back, then it's probably because he wants your money. There he is. He wants your money.
a inductive
b. deductive
Answers
pedro pushes a cart that has a mass of 50kg using approximately 150N of force. what rate is the cart accelerating
A. 3 m/s2
B. .33 m/s2
C. 7,500 m/s2
D. 100 m/s2
Answers
Answer:
A
Explanation:
F = m * a
m = 50 kg
F = 150 N
150 = 50 * a
150/50 = a
a = 3 m/s^2
A 30.0 kg box hangs from a rope. What is the tension (in N) in the rope if the box has an initial velocity of 2.0 m/s and is slowing down at 2.0 m/s2?
Answers
Answer:
360 N
Explanation:
m = 30kg u = 2 m/s a = -2m/s/s
Since the object has an initial velocity of 2 m/s and acceleration of -2 m/s/s
the object will come to rest in 1 second but the force applied in that one second can be calculated by:
F = ma
F = 30 * -2
F = -60 N (the negative sign tells us that the force is acting downwards)
Now, calculating the force applied on the box due to gravity
letting g = -10m/s/s
F = ma
F = 30 * -10
F = -300 N (the negative sign tells us that the force is acting downwards)
Now, calculating the total downward force:
-300 + (-60) = -360 N
Hence, a downward force of 360 N is being applied on the box and since the box did not disconnect from the rope, the rope applied the same amount of force in the opposite direction
Therefore tension on the force = 360 N
The electricity went out at José's home, and he lit some candles until the lights came back on. The candle wax near the wick became soft right away, and melted over a temperature range. Which term best applies to the candle wax?
Answers
Answer:
A.Amorphous solid
Explanation:
There are two states used to describe solids in science; these are crystalline and amorphous (non-crystalline) solids.
Crystalline solids are solids whose constituent particles are properly arranged in a 3-dimensional structure in a crystal-like manner. They have a definite melting point and a defined shape and pattern. A common example of a crystalline solid is diamond.
Amorphous or non-crystalline solids are the opposite of the crystalline solids as there constituent particles are disorderly arranged. They do not have a defined melting point as they melt over a range of temperature.
From the above, it can be deduced that candle wax exhibits the properties of amorphous solids. give me brainliest please
An elevator accelerates upward at 1.2 m/s
2
.
The acceleration of gravity is 9.8 m/s
2
.
What is the upward force exerted by the
floor of the elevator on a(n) 92 kg passenger?
Answer in units of N
Answers
Answer:
1012 N
Explanation:
There are two forces acting on the passenger.
Normal force N pushing up and weight force mg pulling down.
Apply Newton's Second Law:
∑F = ma
N − mg = ma
N − (92 kg) (9.8 m/s²) = (92 kg) (1.2 m/s²)
N = 1012 N
The ossicles (the three tiny bones in the middle ear) are responsible for __________.
A.
converting sound vibrations into neural signals
B.
relaying sound vibrations to the eardrum
C.
vibrating in response to sound waves
D.
amplifying sound vibrations from the eardrum
Answers
Answer:
D
Explanation: Ossicles amplify the vibrations from the eardrum and transmit them to the inner ear. So the answer is D!
Good luck!
The ossicles (the three tiny bones in the middle ear) are responsible for amplifying sound vibrations from the eardrum. Hence, option (D) is correct.
What are the ossicles in human body?The auditory ossicles, the smallest bones in the body, are three bones in each middle ear that function as a unit to carry soundwaves to the inner ear, playing a crucial role in hearing.
From the tympanic membrane (eardrum) to the oval window, which divides the middle ear from the inner ear, the malleus, incus, and stapes create an interconnected chain. These bones are usually referred to by their shapes, the hammer, anvil, and stirrup, respectively.
The eardrum vibrates as sound passes through the ear canal. The ossicles transmit the vibration to the cochlea, an inner ear organ filled with fluid that turns the vibration into electrical signals that the brain can understand.
Learn more about ossicles here:
https://brainly.com/question/24301598
#SPJ2
What does the lines
between atoms represent?and howThe lines between molecules?
Answers
Is the current in the negative battery terminal the same as in the positive battery terminal?
Answers
Answer:
Battery between the positive and negative terminals, this charge is often positive ions.
Explanation:
Answer:
Hello
Yes.This potential difference gives rise to an electric field within the wires and the other elements of a circuit. It is also important that charge flows within the battery between the positive and negative terminals – this charge is often positive ions.
Thus both the sides of battery has Positive ions.
How long dose it take to accelerate an object from rest to 12m/s if acceleration was 3m/s2?
Answers
0, 3, 6, 9, 12
It takes 4 seconds
A student measures volume of a sample of water to be 137.5 mL. If the actual volume
was 139 mL, what is the percent error?
100%
0.0107%
Can not be
determined
1.08%
Answers
What’s the answer bro
What is the gauge pressure of a basketball when you push it down with a force of 30 N, the ball flattens out, and its bottom forms a circular area with a diameter of 2.5 cm? *
Answers
Answer:
32.5 N
Explanation:
examples of angular motion
Answers
Answer:
A figure skater doing a double axle
The swing of a baseball bat
The leverage on a hockey stick
hope it helps
Answer:
the swing of a baseball bat
the leverage on a hokey stick
virtually any club,stick,bat,racket that is swung
a runner on a circular path
Which of these is an example of projectile motion?
a
a jet lifting off a runway
b
a roller coaster going down a steep track
c
a piece of fruit falling off a tree
d
a baseball that has just been thrown
Answers
Answer:
the answer is d I'm pretty sure
Which are disadvantages of renewable resources? Check all that apply.
Renewable energy supplies may not be completely reliable.
sources will never run out.
Renewable energy produces large quantities of waste products.
It is difficult to generate electricity in large quantities using renewable resources.
Many renewable energy facilities have higher operating costs.
Answers
Answer:
Renewable energy supplies may not be completely reliable.
It is difficult to generate electricity in large quantities using renewable resources.
Explanation:
i got it correct on edgeneuity
The disadvantages of renewable resources is energy supplies may not be completely reliable and many renewable energy facilities have higher operating costs.
What are renewable and non-renewable sources?The main difference between renewable and non-renewable energy sources is the limitation of use: renewable resources are infinite, while non-renewable energies use non-renewable resources, so they tend to run out if there is an exacerbated use.
Disadvantages of Renewable Energies:High investment costs and appropriate infrastructure;Negative visual impacts on the environment;Biomass Energy – the biomass combustion method is not clean;Hydroelectric Power – causes soil erosion that can impact the vegetation of the site;See more about renewable energy at brainly.com/question/17373437
In displacing a body 5 m by the force of 50 n the work done is 125 j. Find out the angle between the directions of force and displacement
Answers
Explanation:
We know,
W=Fscos0
F=50N
S=5m
W=125J
125=50×5×cos0
cos0=125/250=0.5
Thus,
0=cos^-1(1/2)=60°
Thus the angle between force and dicplacement is 60°..
Mark me as brainlist.
