At the depth of 10 m, the diver breathes in air from the scuba tank, filling her lungs with air whose pressure equals that of the surrounding water. How does the number of air molecules in her lungs compare with the number she had in a full breath at the surface?


A. Half as many

B. The same

C. Twice as many

D. Four times as many

Answers

Answer 1

Answer:

The number of air molecules in her lung compared with the number she had in a full breadth at the surface is;

C. Twice as many

Explanation:

The depth at which the scuba diver fills her lungs with air, d = 10 m

Pressure of fluid = Density, ρ × Acceleration due to gravity, 'g' × Depth, 'd'

Where;

ρ = 970 kg/m³

g ≈ 9.81 m/s²

∴ The pressure of the water of the 10 m water column = 970 kg/m³ × 9.81 m/s² × 10 m = 95,157 Pa

The atmospheric pressure, P₁ = 101,325 Pa

The total pressure at the 10 m depth = The atmospheric pressure + The pressure of the water of the 10 m water column

∴ The total pressure at the 10 m depth, P₂ = 95,157 Pa + 101,325 Pa = 196,482 Pa

By the combined gas law, we have;

P₁·V₁/n₁ = P₂·V₂/n₂

Where;

P₁ = The atmospheric pressure

P₂ = The pressure at 10 m depth

V₁ = V₂ = The volume of her lungs

n₁ = The number of air molecules at the surface that fills her lungs

n₂ = The number of air molecules that fills her lungs at the 10 m depth

Therefore, we have;

P₂/P₁ = n₂/n₁ × V₁/V₂

From V₁ = V₂, we have;

P₂/P₁ = n₂/n₁ × V₁/V₁ = n₂/n₁ × 1

∴ P₂/P₁ = n₂/n₁

P₂/P₁ = 196,482/101,325 ≈ 2

∴ P₂/P₁  = n₂/n₁  ≈ 2

n₂ ≈ 2 × n₁

The number of air molecules that fills her lungs at the 10 m depth, n₂ is approximately 2 times (twice) as many as the number of air molecules at the surface that fills her lungs, n₁

Therefore the correct option is twice as many molecules as she had in a full breath at the surface is required to fill her lungs at the 10 m water depth.

Answer 2

This question involves the concepts of pressure, the equation of state, and the number of molecules.

The number of molecules in hr breathe are "C. twice as many" as compared to the number of molecules in her lungs when she had a full breath at the surface.

According to the equation of state:

[tex]\frac{P_1V_1}{n_1}=\frac{P_2V_2}{n_2}[/tex]

where,

n₁ = no. of molecules in lungs at surface

n₂ = no. of molecules in lungs at depth

P₁ = Pressure at surface = Atmospheric Pressure = 101325 Pa

P₂ = Pressure at depth = 101325 Pa + ρgh

P₂ = 101325 Pa + (1000 kg/m³)(9.81 m/s²)(10 m) = 199425 Pa

V₁ = V₂ = V = Volume of lungs

Therefore,

[tex]\frac{(101325\ Pa)V}{n_1}=\frac{(199425\ Pa)V}{n_2}\\\\[/tex]

n₂ = 2 n₁

Learn more about the equation of state also known as general gas law here:

https://brainly.com/question/14906240?referrer=searchResults


Related Questions


A6 kg mass moving at 10m/s collides with a 4 kg mass moving in the
same direction at 4 m/s. After the collision both the 6 kg and 4 kg mass
continue to move in the same direction. If the 4 kg mass is moving at
10m/s, what is the speed of the 6 kg mass?

Answers

Answer:

Explanation:

mdeemmkdkwdmwdmw

Which of the following are NOT examples of digital information storage?

a) DVD's
b) magnetic hard drives
c) compact disks
d) vinyl records

Answers

Vinyl records because it’s not a secure information storage
The answer would be D

A construction worker drops a hammer from a 15 m high building. How fast is it going before it hits the ground?

Answers

Answer:

12.1 m/s

Explanation:

v^2-u^2=2as

v^2-0=g(15)

I need the answer to these quick

Answers

Answer:

where is the question ??/dude

Uhhhhhh we need the question lollllll

a rectangular tank measures 12.5 metres long 10.0 wide and 2.0 metre high calculate the mass of the water in the tank when it is full the density of water 1000 kg per metre cube assume the measurement are internal​

Answers

Answer:

250000kg

Explanation:

Mass =density * volume

Density=1000kg/m³

Volume=l*w*h

12.5*10.0*2.0=250m³

Mass=1000 *250

=250000kg


A battery is connected to a 10 resistor and produces a current of 0.2 A in the circuit. If the resistor is replaced with a 20 resistor, what is the new
current in the circuit?

Answers

Answer:

0.1 A

Explanation:

From the question,

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

Where V = Voltage, I = current, R = Resistance.

Given: I = 0.2 A, R = 10 ohms.

Substitute into equation 1

V = 0.2(10)

V = 2 volt,

If the resistor is replaced with a 20 resistor, The nwe current is

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

I = 2/20

I = 0.1 A

Three resistors, 3.0 Ω, 12 Ω, and 4.0 Ω, are connected in parallel across a 6.0-V battery as shown above. What is the current through the battery?

Answers

Answer:

the current flowing through the battery is 4 A.

Explanation:

Given;

resistance of the three resistors in parallel, R₁, R₂ and R₃ = 3.0 Ω, 12 Ω, and 4.0 Ω

voltage of the battery, V = 6.0 V

The equivalent resistance is calculated as follows;

[tex]\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \\\\\frac{1}{R_T} = \frac{1}{3} + \frac{1}{12} + \frac{1}{4} \\\\\frac{1}{R_T} = \frac{4 \ + \ 1 \ + \ 3}{12} \\\\\frac{1}{R_T} = \frac{8}{12} \\\\\frac{1}{R_T} = \frac{2}{3} \\\\R_T = \frac{3}{2} \\\\R_T = 1.5 \ ohms[/tex]

The current flowing through the battery is calculated as follows;

[tex]I = \frac{V}{R_T} \\\\I = \frac{6}{1.5} \\\\I = 4 \ A[/tex]

Therefore, the current flowing through the battery is 4 A.

Lloyd walks faster than
Ronald, with a speed of
about 0.65 m/s. The canteen
is 15 meters away from their
dassroom. How many
minutes will take her to go
to the canteen?​

Answers

Answer:

Time = 2.6 minutes

Explanation:

Given the following data;

Speed = 0.65 m/s

Distance = 15 meters

To find the time to get to the canteen;

Mathematically, time is given by the formula;

Time = distance/speed

Substituting into the formula, we have;

Time = 15/0.65

Time = 23.08 seconds

To minutes = 60/23.08 = 2.6 minutes

plzzz help me fast i have absolutly no f-r-i-c-k-e-n idea what this is or how to do it

im giving 100 point plz dont screw me over on this :)

Answers

P.E =mgh

=5o x 4 x 10

Explanation:

= 2000J

Answer:

Explanation:

PE=mgh

mass, m is 50kg

gravity, g is 10m/s^2

height, h is 4m

So Potential Energy, PE

=50*10*4

=2000J

Please help me!! I will give brainliest!

Q: How do you determine speed over a crooked path? Explain.

Answers

Answer: If you solve for the orbit speed, v, in the mass formula, you can find how fast something needs to move to balance the inward pull of gravity: v 2 = (G M)/r . Taking the square root of both sides (you want just v not v 2), you get v = Sqrt.

Explanation:

Write one effect seen on ocean or sea due to gravitation of the moon and the sun.​

Answers

Answer:

high tides or low tides

Explanation:

Explanation:

It's between high and low tights

Which of the following explains why parallax is used to measure stars?

It takes into consideration the changing brightness of stars.
It provides greater accuracy for measuring stars near the earth.
It takes into consideration the changing position of stars.
It provides greater accuracy for measuring stars far from the earth.

Answers

D, it provides greater accuracy for measuring stars far from the earth.

The answer is "It provides greater accuracy for measuring stars near the earth."

The force you apply to a machine is called the what force?

Answers

Answer:

When you use a machine, you apply force to the machine. This force is called the input force. The machine, in turn, applies force to an object. This force is called the output force.

The force you apply to a machine is called the effort force.

What is a machine?

A machine is a device that is designed to make work easier by changing the direction or magnitude of a force. Machines can be simple, like a lever or pulley, or complex, like an engine or computer.

The basic principle behind all machines is the idea of mechanical advantage, which allows us to do more work with less effort by trading off the force for distance.

The efficiency of a machine is a measure of how much of the input energy is converted into useful output work.

The efficiency of a machine is calculated as the ratio of output work to input work, expressed as a percentage:

Efficiency = (Output work / Input work) x 100%

Output work refers to the amount of work that is done by the machine,

input work is the energy that is put into the machine to make it work.

The difference between the two is the energy that is lost to friction, heat, or other inefficiencies.

Mechanical advantage is a measure of the amplification of force achieved by a machine. It is defined as the ratio of the output force(Load) to the input force (effort). A machine with a mechanical advantage greater than 1 will make it easier to do work by amplifying the force applied to it.

The mechanical advantage of a machine can be calculated using the following formula:

Mechanical Advantage = Output Force(load) / Input Force(effort)

The velocity ratio is a measure of how much the speed of the machine is changed relative to the input speed. It is defined as the ratio of the distance moved by the effort or input force to the distance moved by the load or output force. Velocity ratio is commonly used in the analysis of machines such as pulleys and gears.

The velocity ratio of a machine can be calculated using the following formula:

Velocity Ratio = Distance moved by effort force / Distance moved by load force

Here in the question,

The force you apply to a machine is called the effort force. The effort force is the force applied to a machine, such as a lever or a pulley, in order to move an object or overcome resistance.

In simple machines, the effort force is used to overcome a load or resistance, which is the force that opposes the movement of the object being moved.

The relationship between the effort force and the load or resistance is often described in terms of mechanical advantage, which is the ratio of the output force to the input force. By applying a smaller effort force, a machine can increase its mechanical advantage and make it easier to move a larger load or overcome a greater resistance.

Hence the force we applied to a machine is called effort force.

To learn more about mechanical advantage click:

https://brainly.com/question/16617083

#SPJ2

Energy producing technologies can positively impact soil fertility.
Please select the best answer from the choices provided
OT
OF

Answers

The Answer is TRUE. Hope it helps

Answer:

ITS TRUE.

Explanation:

Why does no one actually help on here?

Answers

Answer: i dontt know everyone is annoying

Explanation:

NO LINKS!!!!!! Help its urgent, PLEASE HELP!!!!!!!!!!!!!!!!

Answers

Answer: I would say B. Dairy

Explanation: Apple is in the fruit group. Grilled chicken breast is in the protein group. Whole white rice is in the whole grains group and string beans are in the vegetable group.

(Please help! this is for astronomy!)

Given Triton’s response to Neptune’s gravity, which of the following will MOST LIKELY happen?

A) Triton will become a dwarf planet.
B) Triton will become a supernova.
C) Triton will become a star.
D) Triton will become a ring around Neptune.

Answers

Answer:

D

Explanation:

Because triton orbits neptune backwards it will fall into neptune giving neptune bigger rings

When a charge moves between
two points that have a potential
difference of +12.0 V, its electric
potential energy increases by
0.418 J. What is the amount
of the charge?
Include the correct sign, + or -
(Unit = C)

Answers

Answer:

+ 0.07 C

Explanation:

From the question given above, the following data were obtained:

Potential difference (V) = 12 V

Energy (E) = 0.418 J

Charge (Q) =?

The energy (E) , potential difference (V) and charge (Q) are related by the following equation:

E = ½QV

With the above formula, we can obtain the charge as follow:

Potential difference (V) = 12 V

Energy (E) = 0.418 J

Charge (Q) =?

E = ½QV

0.418 = ½ × Q × 12

0.418 = Q × 6

Divide both side by 6

Q = 0.418 / 6

Q = + 0.07 C

Answer:

.0348

Explanation:

right on Acellus

: where are you likely to find a cooling plant located in the duckwork? A. single family home B. A large apartment C. large factory D. A medium sized offices

Answers

Answer:

Option C

Explanation:

In a large sized factory, it is essential to create cooling system based on duct work because it can then be able to regulate cooling of any section of the factory from one place. Also, ductwork cooling is preferred in large spaces such as big offices building, towers, factories etc.

Hence, option C is correct

the atomic number of Krypton si 36. if the mass number of a Krypton atom si 84, which table shows the number of subatómico inside anda outside the nucleus of the Krypton atom?

Answers

Answer:

A

Explanation:

You did not list the options. However, knowing the possible options from having seen the material myself - I can infer that the answer option is A. I apologize sincerely if this is wrong.

Which statements explain the relationship between mass, velocity and kinetic energy? Consider the equation to calculate kinetic energy: KE = ½mv2

1. Kinetic energy increases if either the mass or the velocity of the object increases or if both increase.

2. Kinetic energy decreases if either the mass or the velocity of the object increases or if both increase.

3. Kinetic energy decreases if either the mass or the velocity of the object decreases or if both decrease.

4. Kinetic energy increases if either the mass or the velocity of the object decreases or if both decrease

Answers

Answer:

statement 1

Explanation:

When mass increases,KE increases and when mass decreases, KE also decreases

Convert 23.5 mL into L

Answers

Answer:

[tex]0.0235l[/tex]

Explanation:

[tex]1l = 1000ml \\ x = 23.5ml \\ \\ x = \frac{23.5 \times 1}{1000} \\ = 0.0235l[/tex]

Hope this helps you.

Can I have the brainliest please?

Answer:0.0235 I hope this is helpful mark me brainlist if correct

Explanation:

To convert any value in milliliters to liters, just multiply the value in milliliters by the conversion factor 0.001. So, 23.5 milliliters times 0.001 is equal to 0.0235 liters.

how important is knowing and understanding the nature of the tasks and the function of a tool to successfully accomplish a specific task?​

Answers

Explanation:

Management is important in every organization for smooth operation, development, and growth, coordination, optimum use of resources, etc. Functions of management include planning, organizing, staffing, directing and controlling.

Can an object have both kinetic energy and gravitational potential energy? Explain.

Answers

Yes, for example a plain is moving so it has kinetic energy, it is also high above the ground so it has gravitational potential energy

anyone know the answer ?

Answers

Answer:

a,c,d I thought these are the true statements about these graph

State

What is the correct order of tasks for washing dishes in a three-compartment sink?

Answers

Answer:

The summary of the given statement is explained below throughout the explanation segment.

Explanation:

Drain certain surfaces throughout warm water of such soap during the very first sink. This same sanitizing of bacteria would not destroy whether grime would be in the direction.Exfoliate the plates throughout plain water during the secondary drain. As with grime, the residual soap could avoid the kill off bacteria and viruses by the sanitizer.

e=?
answer this and ill bump your streaks nd junk for brainliest nd whatnot..

Just answer

Answers

E=mc2 or MC Squared as in (mass energy equivalence)

E=mc2

Formula

E = energy

m = mass

c = the speed of light

Witch of the following is the correct definition of convention
A. The transfer of heat by currents
B. The transmission of heat across matter
C. The transmission of heat across empty space
D. The electromagnetic radiation from the surface of an object witch is due to the objects temperature

Answers

Answer:

A is the answer .(A) is correct

What is the unit for efficiency?
What is the biggest number the
efficiency can be?
How do you work out the % efficiency?

Answers

Answer:

Efficiency has no physical units  (example   .85 = 85%)

The largest number would be 1 or 100%

An example of efficiency is:  work out/work in

or (work in - work lost to friction) / work in    would be an example of the efficiency of the process

If a machine increases force it must apply the force over a long distance? True or false

Answers

Answer: The machine must apply the force over a shorter distance. That's because a machine doesn't change the amount of work and work equals force times distance. Therefore, if force increases, distance must decrease

FALSE

HOPE THIS HELPS

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