An air bubble released by a deep-water diver, 115 m below the surface of a lake, has a volume of 1.60 cm3. The surface of the lake is at sea level, and the density of the lake water can be approximated as that of pure water. As the bubble rises to the surface, the temperature of the water and the number of air molecules in the bubble can each be approximated as constant. Find the volume (in cm3) of the bubble just before it pops at the surface of the lake.

___ cm3.

Answers

Answer 1

Answer:

The value is  [tex]V_2 = 1.9396 *10^{-5} \  m^3 [/tex]

Explanation:

From the question we are told that

   The depth at which the bubble is released is  [tex]h = 115 \ m[/tex]

    The volume of the air bubble is  [tex]V = 1.60 cm^3 = 1.60 *10^{-6} \ m^3[/tex]

Generally from the ideal gas law

     [tex]PV = nRT[/tex]

Given that  n , R , T are constant we have that

    [tex]PV = constant[/tex]

So    

    [tex]P_1 V_1=P_2 V_2[/tex]

Here [tex]P_1[/tex] is the pressure of the bubble at the depth where it is released which i mathematically represented as

      [tex]P_1 = P_a + P[/tex]

Here [tex]P_a[/tex]  is the atmospheric pressure with value  [tex]P_a = 101325 \ Pa[/tex]

and   [tex]P[/tex] is the pressure due to the depth which is mathematically represented as

       [tex]P = \rho * g * h[/tex]

So

       [tex]P = 1000 * 9.8*115[/tex]

=>    [tex]P = 1127000\ Pa[/tex]

Here  [tex]\rho[/tex] is the density of pure water with value  [tex]\rho = 1000 \ kg/m^3[/tex]

        [tex]g = 9.8 \ m/s^2[/tex]

        [tex]V_1[/tex] is the volume of the bubble at the depth where it is released

        [tex]P_2[/tex] is the pressure of the bubble at the surface which is equivalent to the atmospheric temperature

        [tex]V_2[/tex] is the volume of the bubble at the surface

So

      [tex]V_2 = \frac{ P_1 * V_1}{ P_2}[/tex]

=>    [tex]V_2 = \frac{(Pa+ P) * V_1}{P_a}[/tex]

=>    [tex]V_2 = \frac{101325 + 1127000   * (1.60 *10^{-6})}{ 101325 }[/tex]

=>    [tex]V_2 = 1.9396 *10^{-5} \  m^3 [/tex]


Related Questions

PLEASE HELP!

Formulate a conclusion about what happens to the pH of a substance when an
acid and base are mixed.

Answers

Answer:

They gon' hate me regardless, that's why I do what I do (what I do)

See me in person i'm flawless (I'm flawless girl), i might just snatch up your dude (hahahaha)

Explanation:

i just want to be....appreciated

A car’s brakes decelerate it at a rate of -2.20 m/s2. If the car is originally travelling at 17 m/s and comes to a stop, then how far, in meters, will the car travel during that time?

Answers

Answer:

x = 65.68 [m]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}^{2}=v_{o}^{2}-2*a*x[/tex]

where:

Vf = final velocity = 0 (comes to stop)

Vo = initial velocity = 17 [m/s]

a = desaceleration = -2.2 [m/s²]

x = displacement [m]

Now replacing, we have:

[tex](0)^{2}=(17)^{2}-2*(2.2)*x\\4.4*x = 289\\x = 65.68 [m][/tex]

A :-) for this question , we should apply
2as = v^2 - u ^2
Given - u = 17 m/s
v = 0 m/s
a = -2.20 m/s^2
Solution -
2as = v^2 - u^2
2 x -2.20 x s = 0^2 - 17^2
s = 0^2 - 17^2 by 2 x -2.20
s = -( 17 x 17 ) by 2 x -2.20
( Cut minus ( - ) and ( - ) )
s = 17 x 17 by 2 x 2.20
s = 289 by 4.4
s = 65.6

.:. The car travelled 65.6 meters.

A train travels at a speed of 30mph and travelled a distance of 240 miles. How long did it take the train to complete its journey? Must show your work​

Answers

Answer:

8

Explanation:

240 divided by 30 = 8

Which point has the most Potential energy? [Select]
Which point has the most Kinetic energy? [ Select ] ​

Answers

Answer:

Most potential energy: A

Most kinetic energy: D

Explanation:

Kinetic Energy is the type of energy an object has due to its state of motion. It's proportional to the square of the speed.

The equation for the kinetic energy is:

[tex]\displaystyle K=\frac{1}{2}mv^2[/tex]

Where:

m = mass of the object

v = speed at which the object moves

The gravitational potential energy is the energy stored in an object because of its height h in a gravitational field.

It can be calculated with the equation:

U=m.g.h

The point where the object has the most potential energy is that where it has more height. It corresponds to point A.

When the object is at zero height, all of its potential energy was transformed to kinetic, thus the point where the kinetic energy is D.

Most potential energy: A

Most kinetic energy: D

Answer:

potentail enegry at point a and kinetic enegy at point c

Explanation:

i did this i fourth grade please mark brainlist

is a tree a living or non living thing?

Answers

Answer:

Living thing

Explanation:

Nonliving things do not move by themselves, grow, or reproduce.

Answer:

Living

Explanation:

Unless you cut the tree, making that thang dead- its living

What does the half life for a radioactive material mean?

Answers

Half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay (change spontaneously into other nuclear species by emitting particles and energy), or, equivalently, the time interval required for the number of disintegrations per second of a radioactive

what is the mass and volume of 1000kg/m3 of water?​

Answers

Answer: The mass would be 1000m3 and the volume would be 1000kg

Explanation:

The weight of an object is measured in air to be 7.0 N. The
object is then immersed in water and its apparent weight is
measured to be 4.0 N. Determine the buoyant force and state
whether or not the object floats.​

Answers

Answer:

Buoyant force = 3.0 N

The object will not float.

Explanation:

Apparent weight of a body immersed in water is the actual weight of object minus buoyant force

Given in the question that;

Weight of object in air = 7.0 N

Apparent weight of object = 4.0 N

4.0 N = 7.0 N - Buoyant force

Buoyant force = 7.0 - 4.0 = 3.0 N

In this case, the buoyant force is less than weight of the object thus the object will sink.

Matter can go through a phase change and still have the same mass.

Answers

Answer:

True

Explanation:

In a physical change such as melting, can change its form but the total mass will remain the same. For example, in a chemical reaction, the total mass of substances that react will equal the mass of the products. However, it is important to mention that some phase changes such as from solid to liquid, the mass of an ice will be turned to the liquid what and during this phase change period, the mass of the ice consequently decreases.

Why can humans float in space but not on Earth?

Answers

Answer/explanation: on earth there is a gravitational pull discovered by sir Isaac Newton when an apple fell on his head. However in space there isn’t any gravity to keep you from drifting off.

Where does compression often occur?

Answers

Answer:

a convergent boundary^^

Explanation:

hope it helped

Bile is a compound that helps in the digestion of fat and eliminates waste products from the blood. True O False​

Answers

Answer:

That should be true because bile is ¨a bitter greenish-brown alkaline fluid that aids digestion and is secreted by the liver and stored in the gallbladder.¨

Explanation:

A 125,000 kg locomotive is traveling south at 1.0 m/s through a switching yard. A connected set of parked gondola cars weighing 1,750,000 kg are directly ahead. Determine the speed and direction of the completed train after the locomotive has been coupled to the cars.

Answers

Answer:

The speed of the completed train is 0.0[tex]\bar 6[/tex] m/s

The direction of the completed train is South

Explanation:

The given parameters are;

The mass of the locomotive, m₁ = 125,000 kg

The initial speed of the locomotive, v₁ = 1.0 m/s

The mass of the gondola cars, m₂ = 1,750,000 kg

The initial sped of the gondola cars, v₂ = 0

Let v₃ represents the speed of the completed train. From the principle of conservation of linear momentum, we have;

m₁·v₁ + m₂·v₂ = (m₁ + m₂)×v₃

Substituting the known values, gives;

125,000 × 1.0 + 1,750,000 × 0 = (125,000 + 1,750,000) × v₃

∴ v₃ = (125,000 × 1.0 + 1,750,000 × 0)/(125,000 + 1,750,000) = 1/15 = 0.0[tex]\bar 6[/tex]

v₃ = 0.0[tex]\bar 6[/tex] m/s

The speed of the completed train = 0.0[tex]\bar 6[/tex] m/s

The direction of the completed train = The direction of the locomotive = South.

Earthquakes
Shaking of the ground
Seismographs
Scientific method

Answers

Answer:

C. seismographs

Explanation:

Theirs another name for seismographs but c is correct

Two physics students, Ben and Bonnie, are in the weightlifting room. Bonnie lifts the 50 kg barbell over her head (approximately .60 m) 10 times in one minute; Ben lifts the 50 kg barbell the same distance over his head 10 times in 10 seconds. Which student does the most work? Which student delivers the most power? Explain your answers.

Answers

Answer:

Both of them

Explanation:

How much power is used if a force of 35 newtons is used to push a box a distance of 10 meters in 5 seconds?w=350j

Answers

The answer your looking for is 70watts

Answer:

How much power is used if 350J of work is done when pushing a box for 5 seconds.

Explanation:

the answer is 70watts

3. Riddle:
I am black when you buy me, red when you use me and grey when you throw me away.
What am I?

Answers

Answer:

The answer is charcoal

Answer:

Charcoal

Explanation:

Which of the following equations accurately defines acceleration?

Plz help ASAP

Answers

Answer:

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.

Explanation:

Answer: i think its b

sorry if im wrong

Explanation:

3. If I run 150m in 30 seconds, what speed will I have been running at?

Answers

Answer:

speed = distance/time

Explanation:

speed = 150/30

speed =5m/s

you were running fast .....5m/s is a good speed

The temp of the metal in a running car engine is 388 K. Find this temp in Celsius.

Answers

Answer:

115°c

Explanation:

°c=k-273

388-273=115

I WILL GIVE BRAINLYIST
Which of the following types of stars had the smallest initial mass? (10 points)

Group of answer choices

Blue main sequence

Neutron star

Red supergiant

White dwarf

Answers

Answer:

White dwarf

Explanation:

A 0.85-kg arrow flies through the air at a speed of 19 m/s. What is the momentum of the arrow?
16 kg m/s
22 kg m/s
160 kg m/s
360 kg m/s

Answers

Answer:

16 kg m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 0.85 × 19 = 16.15

We have the final answer as

16 kg m/s

Hope this helps you

A 0.25-kilogram ball is observed to accelerate at 4,000 m/sec2 as it is hit with a bat.
How much force is exerted on the bat by the ball?

Answers

Answer:

1000 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 0.25 × 4000

We have the final answer as

1000 N

Hope this helps you

HOW CAN AN APPLE DEMONSTRATE POTENTIAL AND ENERGY

Answers

Answer and Explanation in one:

In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors. So basically, you could possibly demonstrate with a variety of examples. One example may be just sitting on a table, waiting to get rolled off. I know it sounds silly, so here's another example. You are holding a bow and arrow, you pull back the arrow, aiming at the target. You are holding the arrow, filling it with potential energy. When it is let go, it is kinetic energy, the act of an object in motion, slowly riding of it's potential energy.

Chemical reactions occur due to sharing or transferring of blank. Please help ASAP!!!!

Answers

I think the answer would be Electrons. The process of chemical reactions transfer or share electrons that creates an attraction which hold the atoms together.

Answer: valence electrons?

Explanation:

What force must be applied to the end of a rod along the x-axis of length 2.25 m in order to produce a torque on the rod about the origin of 11 z-hat N·m? Choose among the available options below. x,y,z,-z

Answers

Answer:

4.9N approx.

Explanation:

Step one:

given data

length of rod r= 2.25m

Required torque = 11 Nm

Required

The force needed to produce a torque of 11Nm

Step two:

"By definition, Torque is the twisting force that tends to cause rotation.

The point where the object rotates is known as the axis of rotation."

Mathematically,

[tex]\tau = rF\sin\theta[/tex]

[tex]\tau[/tex] = torque

r = radius

F = force

[tex]\theta[/tex] = angle between F and the lever arm

in this case is zero

[tex]\tau = rF\\\\F=\tau/r[/tex]

substituting we have

F=11/2.25

F=4.88N

F=4.9N approx.

A car of mass of 1000 ks in accelerating at 2 ms. What resultant force acts on the car? If the
resistance to the motion is 1000 N, what is the force due to engine?

Answers

Answer:

Explanation:

Opp

A 615.00 kg race car is uniformly traveling around a circular race track. It takes the race car 20.00 seconds to do one lap around the 80.00 m radius circular track. What is the frequency of the race car's circular motion?

Answers

Answer:

The value is  [tex]f = 0.05 \ Hz[/tex]

Explanation:

From the question we are told that

     The mass of the car is  [tex]m = 615 \ kg[/tex]

      The period of the circular motion is  [tex]T = 20 \ s[/tex]

      The radius  is [tex]r = 80 \ m/s[/tex]

Generally the frequency of the circular motion is  

       [tex]f = \frac{1}{T }[/tex]

=>    [tex]f = \frac{1}{ 20 }[/tex]

=>    [tex]f = 0.05 \ Hz[/tex]

A 2000 kg car is moving at 1.5 m/s. What is its kinetic energy?*
A. 0J
B. 3000J
C. 1500 J
D. 4500 J
E. 2250 J

Answers

Answer is B 3000 J hope I could help
Its E,
K.E = 1/2mv^2
K.E = 1/2(2000)(1.5)^2
K.E = 2250 J

a toy car is wound up and released on the floor. it accelerates at a rate of 0.4 m/s/s . the mass of the care is 3kg. what is the force that the cars wheels exert on the floor.

Answers

Answer:

1.2N

Explanation:

f=m×a

m=3kg

a=.4m/s/s

3×.4=1.2

kg×m/s/s = N

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