The New Horizons space probe flew by Pluto in 2015. It measured only a thin atmospheric boundary extending 4 km above the surface. It also found that the atmosphere consists predominately of nitrogen (N₂) gas. The work to elevate a single N₂ molecule to this distance is 5.7536 x 10⁻²³ J. New Horizons also determined that the atmospheric pressure on Pluto is 1.3 Pa at a distance of 3 km from the surface. What is the atmospheric density at this elevation? mN2 = 2.32 x 10⁻²⁶kg a. 6.99 x 10⁻⁴ kg/m³ b. 442 x 10⁻² kg/m³ c. 442 x 10⁻⁵ kg/m³ d. 6.99 x 10⁻¹ kg/m³

Answers

Answer 1

Answer: The correct option is a. 6.99 x 10⁻⁴ kg/m³.

Work to elevate a single N₂ molecule to this distance = 5.7536 x 10⁻²³ Jm

N2 = 2.32 x 10⁻²⁶kg

Pluto Atmospheric Pressure = 1.3 Pa

Distance from the surface = 3 km

We are given the work done to lift a single N2 molecule, which is 5.7536 x 10⁻²³ J.

Now, we need to know the total energy used to lift one kilogram of N2 molecules to this height.

Since the mass of one N2 molecule is 2.32 x 10⁻²⁶kg, the number of molecules in one kilogram would be:

1 kg = 1,000 g = 1000/14moles = 71.43 moles.

In one mole, there are 6.022 x 10²³ molecules.

Therefore, in 71.43 moles, the number of N₂ molecules would be:71.43 moles x 6.022 x 10²³ molecules per mole

= 4.29 x 10²⁶ molecules of N₂.

Total work = work to lift one molecule x number of molecules in one kilogram= 5.7536 x 10⁻²³ J/molecule x 4.29 x 10²⁶ molecules/kg= 2.466 x 10³ J/kg.

The atmospheric pressure at a distance of 3 km from the surface of Pluto is 1.3 Pa.

Using the ideal gas law, PV = nRT,

where P is pressure, V is volume, n is the number of moles, R is the gas constant and T is temperature.

The mass of one N₂ molecule, m. N₂ is given as 2.32 x 10⁻²⁶ kg.

Since the mass of a single molecule is very small, we can assume that the volume occupied by one molecule is negligible, and therefore the volume occupied by all the molecules can be approximated as the total volume. The number of moles of N₂ gas in 1 kg would be:1 kg = 1000 g / (28 g/mol) = 35.71 moles.

Therefore, the number of molecules would be: 35.71 moles x 6.022 x 10²³ molecules/mole

= 2.15 x 10²⁶ molecules of N₂. The volume occupied by all the N2 molecules in 1 kg would be:,

V = nRT/P

= (35.71 x 8.314 x 55)/(1.3)

= 1.53 x 10³ m³.

The density of N₂ gas in 1 kg would be:

p = m/V = 1/1.53 x 10³

= 6.54 x 10⁻⁴ kg/m³.

Therefore, the atmospheric density at this elevation is 6.54 x 10⁻⁴ kg/m³.

Answer: The correct option is a. 6.99 x 10⁻⁴ kg/m³.

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Related Questions

What is downward force that acts on an airplane in flight

Answers

Answer:

重力

Explanation:

这是正确的答案还是不是

Assuming that energy is quantized in integer intervals as seen in the 3 particles with a total energy of 3 example from the micrsostates video, which of the following combinations will have the most possible microstates?

1 particle with a total energy of 1

3 particles with a total energy of 3

1 particle with a total energy of 6

3 particles with a total energy of 6

Answers

Among the given options, the combination with 3 particles and a total energy of 6 (Option D) will have the most possible microstates.

In this scenario, the energy is quantized in integer intervals, and each particle can have energy values of 0, 1, 2, or 3. We need to find the combination that allows for the highest number of microstates, which corresponds to the highest number of possible energy distributions among the particles.

Option D, with three particles and a total energy of six, provides the most flexibility in energy distribution. The particles can have various energy combinations, such as (2, 2, 2), (1, 2, 3), (0, 3, 3), and so on. Each energy value represents a different microstate, and the total number of microstates is determined by the number of distinct energy distributions.

On the other hand, the other options have either fewer particles or a lower total energy, which limits the number of possible energy distributions and, consequently, the number of microstates.

Therefore, Option D, with three particles and a total energy of six, will have the most possible microstates.

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The complete question is

Assuming that energy is quantized in integer intervals as seen in the 3 particles with a total energy of 3 example from the micrsostates video, which of the following combinations will have the most possible microstates?

A. 1 particle with a total energy of 1

B. 3 particles with a total energy of 3

C. 1 particle with a total energy of 6

D. 3 particles with a total energy of 6

14.What is the kinetic energy of a 3kg ball that is rolling 2m/s?

Answers

KE formula is .5mv^2
So KE=.5mv2
KE=.5(3)(2)^2
KE=.5(3)(4)
KE=.5(12)
KE=6 joules
1.5x4 =6 so the answer is 6 joules

the frequency range for am radio is 540 to 1600 khz. the frequency range for fm radio is 88.0 to 108 mhz. From to Submit Answer Tries 0/6

Answers

The frequency range for AM radio is 540 to 1600 kHz, and the frequency range for FM radio is 88.0 to 108 MHz.

AM stands for Amplitude Modulation.

This refers to the fact that an AM radio signal's strength is adjusted to match the sound waves.

The sound signal amplitude is used to adjust the carrier signal amplitude, resulting in an AM radio signal.

The AM band operates at a frequency range of 540 to 1600 kHz.

FM stands for Frequency Modulation.

The frequency of the carrier signal is adjusted to match the sound waves in FM radio.

The frequency of the carrier signal is altered in response to the sound signal.

The FM band operates at a frequency range of 88.0 to 108 MHz.

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Help anyone?


Moving causes your muscles to release molecules, which helps process the fats and sugars you eat. If you don't do this, it can cause:

a.
weight gain

b.
heart disease

c.
tight hips

d.
varicose veins

Answers

Weight gain for sure.

Answer:

A

Explanation:

I thinks is A Im pretty sure its the right answer.

How did scientists make it easier to classify different types of matter? And what is it based on?

Answers

Answer:

Explanation:

Matter can be classified according to physical and chemical properties. Matter is anything that occupies space and has mass. The three states of matter are solid, liquid, and gas. A physical change involves the conversion of a substance from one state of matter to another, without changing its chemical composition.

Based on the figure, a decrease in _________ could cause the economy to move from point a to point b

Answers

A decrease in production of goods could cause the economy to move from point a to point b.

What cause shifts in economy?

Shifts in the production are due to  many factors that change the output of an economy such as advances in technology, changes in resources, more education or training and changes in the labor force.

So we can conclude that a decrease in production of goods could cause the economy to move from good to poor.

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show that the following functions are solutions of the wave equation ztt = c2(zxx zyy). (a) x2 −y2 (b) cos(ct)cos(x) (c) cos(ct)sin(y) (d) sin( √ 2ct)cos(x y)

Answers

(a) The function x² - y² is a solution of the wave equation\(ztt = c²(zxx + zyy).\)

(b) The function cos(ct)cos(x) is a solution of the wave equation\(ztt = c²(zxx + zyy).\)

(c) The function cos(ct)sin(y) is a solution of the wave equation\(ztt = c²(zxx + zyy).\)

(d) The function sin(√2ct)cos(x + y) is a solution of the wave equation\(ztt = c²(zxx + zyy).\)

How to find the solutions of wave equation?

The wave equation ztt = c²(zxx + zyy) describes the behavior of waves in a medium, where z represents the displacement, t represents time, x represents the spatial coordinate in the x-direction, y represents the spatial coordinate in the y-direction, and c represents the wave speed.

To determine if the given functions are solutions of the wave equation, we need to substitute them into the equation and verify if the equation holds true.

(a) Substituting z = x² - y² into the wave equation, we find that the partial derivatives with respect to time and spatial coordinates satisfy the equation, thus making x² - y² a solution.

(b) Substituting z = cos(ct)cos(x) into the wave equation, we again find that the partial derivatives satisfy the equation, confirming that cos(ct)cos(x) is a solution.

(c) Substituting z = cos(ct)sin(y) into the wave equation, we find that the partial derivatives satisfy the equation, indicating that cos(ct)sin(y) is a solution.

(d) Substituting z = sin(√2ct)cos(x + y) into the wave equation, we observe that the partial derivatives also satisfy the equation, demonstrating that sin(√2ct)cos(x + y) is a solution.

Therefore, all four given functions (a), (b), (c), and (d) are solutions of the wave equation \(ztt = c²(zxx + zyy).\)

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Suppose the gravitational force between two massive spheres is 100 N. If the distance between the spheres is divided by 3, what is the force between the masses?

Answers

Answer:

300N

Explanation:

Because the distance between the spheres has decreased, the gravitational pull will become stronger by the same decrease in the distance.

In this case:

100N × 3 = 300N

Colette launches an air rocket in the upward, positive direction. It launches
with an initial velocity of 25.5 m/s. It accelerates in the downward, negative
direction at a rate of 9.81 m/s2. After 3.5 seconds, what is the magnitude of
the rocket's displacement?

A) 29 meters

B) 31 meters

C) –150 meters

D) 150 meters

Answers

Answer:

b

Explanation:

Answer:

The answer is A) 29 meters

Explanation:

I got this question right on the test! :)

the voltage across a resistor with current i(t) in the s domain is sri(s). group of answer choices true false

Answers

True , In the Laplace domain (s domain), the relationship between voltage (V) and current (I) in a resistor (R) is given by Ohm's Law: V(s) = I(s) * R.

Substituting the given expression for current (i(t) = s*I(s)), we get V(s) = s*I(s)*R = sri(s).

Therefore, the voltage across a resistor with current i(t) in the s domain is indeed sri(s). If the voltage across a resistor with current i(t) in the s domain is sri(s).
                                     The voltage across a resistor with current i(t) in the s domain can be found using Ohm's law in the Laplace domain, which is V(s) = R * I(s), where V(s) is the voltage, R is the resistance, and I(s) is the current in the s domain.

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Remember KE=M*V2/2…
 A model airplane moves twice as fast as another identical model airplane. Compared with the kinetic energy of the slower airplane, the kinetic energy of the faster airplane is​

Answers

Answer: 4 times as much

Explanation:

PLEASE HELP MEEE!!!!!!!

which statement describes a chemical change that occurs when a car's airbag inflates? A. the sodium azide melts into a liquid and increases in volume. B. the sodium azide mixes in the air, forming a solution of gases. C. the sodium azide gets so hot that it changes into a gas. D. the sodium azide breaks down into sodium and nitrogen gas.

Answers

Answer: The correct statement is D (the sodium azide breaks down into sodium and nitrogen gas).

Explanation:

A chemical change is an irreversible chemical reaction in which new substances are usually formed. It is also defined as chemical decomposition of a substance leading formation of two or more other substances. A typical example is in the break down or decomposition of sodium azide into sodium metal and nitrogen gas. This is seen in the chemical balanced equation below:

2 NaN3 --> 2 Na + 3 N2

Sodium azide ( also called Sodium trinitride) is a chemical compound that is in built into automobile air bags which upon collision is being triggered to decompose. This leads to the generation of sodium and nitrogen gas that fills the air bag. This aid ls in reducing the impact of the collision and absorbs the forward-moving energy of the occupant.

Answer:

The answer is D Im doing the Exam noe

Explanation:

Hope this help :)

Red Riot out

Please help asdfghjkll=

Please help asdfghjkll=
Please help asdfghjkll=

Answers

Answer:

Oh god

i have nooooo idea


Why is it important to study chemical reactions in closed containers?

Answers

Answer: becaue they can burn your body part it i important to tudy chemicals in cloed container

Explanation:

Answer:

There are plenty of reasons why. For some reactions, the system needs to be closed to avoid any alterations to the reaction. It can also be for protection, repeatability, and consistency.

What is the equation that shows the inverse relationship between wavelength and frequency?

Answers

Answer:

V = f * λ           velocity equals frequency * wavelength

If f is increased then λ must decrease for the velocity to remain constant.

Cale heated a 2 kg water sample from 0* C to 50* C in 3 minutes. The specific heat for water is 4184 J /kg.C*, what was his change in thermal energy

Answers

Answer:

\(418400\ \text{J}\)

Explanation:

m = Mass of water = 2 kg

c = Specific heat of water = \(4184\ \text{J/kg}^{\circ}\text{C}\)

\(\Delta T\) = Change in temperature = \((50-0)^{\circ}\text{C}\)

Change in thermal energy is given by

\(Q=mc\Delta T\\\Rightarrow Q=2\times 4184\times (50-0)\\\Rightarrow Q=418400\ \text{J}\)

Cale's change in thermal energy was \(418400\ \text{J}\).

22. Calculate the displacement in meters a cyclist would travel in 5.00 h at an average
of 12.0 km/h to the south west

Answers


Explanation:
To whichever direction, if the cyclist did not change the direction, the displacement is
By formula :d=v×t
given, v=12km/h and, t=5h
=>
x=12km/h×5h=60km=60×1000m=60000m

please help!!!!!!!!!!

please help!!!!!!!!!!

Answers

Answer:

C

Explanation:

three bricks means 3 times the weight, so 6/3=2

how do we change km/h to m/s​

Answers

Answer:

36km/h = 10m/s

Explanation:

That's the formula to convert

From km/h to m/s : do divided by 3,6
From m/s to km/h : do multiple by 3,6

A sphere of radius 10.0cm is moulded into a uniform cylindrical wire of same radius r calculate length in millimeters​

Answers

Answer:

133.33 mm

Explanation:

First we need to find the volume of the sphere. The volume of a sphere is given by:

V = (4/3) * pi * r^3

With a radius of 10 cm, we have:

V = (4/3) * pi * r^3 = 4188.79 cm3

The sphere will be moulded into a cylinder, so the volume will be the same. The volume of a cylinder is:

V = pi * r^2 * h

Where h is the height of the cylinder, and for this case, it will be the length.

The radius is the same old radius, so we have:

4188.79 = pi * 10^2 * h

h = 4188.79 / 100pi = 13.3333 cm

In millimeters, we have h = 133.33 mm

If you stand near a campfire and you feel the heat without touching it, what type of thermal energy transfer is occurring?.

Answers

If we stand near a campfire and we feel the heat without touching it is convection method, heat is coming through radiation.

In thermodynamics, heat has a very precise definition that differs from how we generally use the word. When two systems with various surface temperatures come into touch with one another, heat is the thermal energy that is transmitted. The letters q or Q stand for heat, and the unit of measurement for heat is joules.

Heat is sometimes referred to as a process quantity since it is defined in the context of a process through which energy can be conveyed. The heat that a hot cup of coffee delivers to your palm may be debated, but the heat that the cup of coffee holds is not. Another noteworthy quality is heat..

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Sam makes six star-shaped cookies out of dough. He puts all of the cookies on a balance and measures the total weight as 36 grams. He then squeezes the cookies into one big ball and measures the weight. What is the weight of the entire ball?

Answers

Answer:

The answer is "36 grams".

Explanation:

In this question, the weight of the ball is not mentioned but is the weight of the cookies is declared, which is equal to 36 grams, and all the cookies are squeezes into the ball and after that, it calculates the overall weight so, let assume that ball weight is =0 and then the overall weight is:

\(=\text{weight of ball + cookies weight}\\\\=0+36 \ grams \\\\=36 \ grams\)

A relief plane flying horizontally at 65.0 m/s is delivering a
food package to people stranded on an island. If the
island is a horizontal distance of 789 m away,
how high is the plane?
(Unit = m)
22000
Ay (m)
mily

Answers

The height of the plane delivering a food package to people stranded on an island is 722.2 m.

Time of motion of the food package

The time taken for the food package to hit the ground level is calculated as follows;

X = vt

where;

X is horizontal distance traveled by the food packagev is horizontal distancet is time of motion

t = X/v

t = 789/65

t = 12.14 seconds

Height of the plane

h = ¹/₂gt²

where;

h is height of fall of the food package which is height of the planet is time of motion of food packageg is acceleration due to gravity

h = (0.5)(9.8)(12.14²)

h = 722.2 m

Thus, the height of the plane delivering a food package to people stranded on an island is 722.2 m.

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Answer:

722.2

Explanation:

the fundamental resolution of a lens or telescope is determined by:

Answers

Answer:

The numerical aperture of the lens.

Explanation:

A numerical aperture is a dimensionless number that is the range of angles that the system can accept / emit light.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A road bike has tires that have a diameter of 0.800m and is rolling down the road at 20.0m/s. What is the angular acceleration of the tire as it comes to a stop?

Answers

The angular acceleration values into the equation: \(a = (0^2 - 20\times0^2) / (2 \times 2.51) = -312.3 rad/s^2\)

The angular acceleration of the tire can be determined using the equation:

\(a = (v^2 - u^2) / (2 \times s)\)

where

a = angular accelerationv = final velocity = 0 m/s (since the tire is coming to a stop)u = initial velocity = 20.0 m/ss = distance traveled before coming to a stop = circumference of the tire = \(2 \times \pi \times r\)

The radius of the tire can be determined from its diameter:

\(r = d / 2 = 0.800 m / 2 = 0.400 m\)

Therefore, the circumference of the tire is:

\(s = 2 \times \pi \times r = 2 \times \pi \times 0.400 m = 2.51 m\)

Now, we can substitute the values into the equation:

\(a = (0^2 - 20\times0^2) / (2 \times 2.51) = -312.3 rad/s^2\)

The negative sign indicates that the angular acceleration is in the opposite direction of the tire's initial motion, as the tire is coming to a stop.

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Earthquakes usually happen at: - folds - mountains - fault lines

Answers

Answer:

Fault lines

Explanation:

What additional kind of energy makes Cv larger for a diatomic gas than for a monatomic one?
O Charismatic energy
O Translational energy
O Heat energy
O Rotational energy
O Solar energy

Answers

Answer:

translational energy

Explanation:

because is diatomic

At what rate must the potential difference between the plates of a parallel-plate capacitor with a 2.3 uF capacitance be changed to produce a displacement current of 1.6 A? V/s

Answers

The potential difference between the plates of the parallel-plate capacitor needs to change at a rate of 0.696 V/s to produce a displacement current of 1.6 A.

The required rate of change is calculated by using the formula for displacement current in a parallel-plate capacitor :

I_d = ε₀ * A * dV/dt,

where I_d is the displacement current, ε₀ is the vacuum permittivity (8.85 x 10^(-12) F/m), A is the area of the plates, and dV/dt is the rate of change of the potential difference.

Rearranging the formula, we can solve for dV/dt:

dV/dt = I_d / (ε₀ * A).

Given that the capacitance C = ε₀ * A / d, where d is the separation between the plates, we rewrite the formula as:

dV/dt = (I_d * d) / (C * ε₀).

Substituting the given values, with C = 2.3 x 10^(-6) F and I_d = 1.6 A, we have:

dV/dt = (1.6 A * d) / (2.3 x 10^(-6) F * 8.85 x 10^(-12) F/m).

Calculating the result gives:

dV/dt ≈ 0.696 V/s.

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A small block slides down an incline with a constant acceleration. The block is released from rest at the top of the incline. After it travels 5 m to the bottom its speed is 5 m/s. What is the speed, in m/s, of the block when it had traveled only 2.1 m from the top

Answers

Answer:

v = 3.24 m/s

Explanation:

Since we don't have time, we can use the formula;

(Final distance - initial distance)/time = (initial velocity + final velocity)/2

Thus;

(x_f - x_i)/t = ½(v_xi + v_xf)

We are given;

x_i = 0 m

x_f = 5 m

v_xi = 0 m/s

v_xf = 5 m/s

Thus, plugging in the relevant values;

(5 - 0)/t = (0 + 5)/2

5/t = 5/2

t = 2 s

Using Newton's first law of motion, we can find the acceleration.

v = u + at

Applying to this question;

5 = 0 + a(2)

5 = 2a

a = 5/2

a = 2.5 m/s²

To get the speed, in m/s, of the block when it had traveled only 2.1 m from the top, we will use the formula;

v² = u² + 2as

v² = 0² + 2(2.5 × 2.1)

v² = 10.5

v = √10.5

v = 3.24 m/s

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