The mercury in a barometer of a cross-sectional area 1 cm² stands at 75 cm, and the space above it is 9 cm in length. What
volume of air, measured at 3. The mercury in a barometer of a cross-sectional area 1 cm² stands at 75 cm, and the space above it is 9 cm in length. What
volume of air, measured at atmospheric pressure, would have to be admitted into the space to cause the column of the mercury
to drop to 59 cm?

Answers

Answer 1

The ideal gas equation and the pressure in barometer allows us to find the amount of air that we must introduce into the barometer for the change in height of the mercury column is:

The  variation  of the volume is: ΔV = 7.67 cm³

Pressure is defined by the relationship between force and area.

       P = F / A

The ideal gas equation establishes a relationship between pressure, volume, and temperature of an ideal gas.

          PV = nR T

Where P is pressure, V is volume, and T is temperature.

Let's write this equation for two points assuming that the temperature has not changed.

          P₀ V₀ = P₁ V₁

          V₁ = [tex]\frac{P_o}{P_1} \ V_o[/tex]                 (1)

The subscript "o" is used for the start point and the subscript "1" for the end point.

The pressure in a barometer is:

         P = ρ g y

They indicate the initial height of the barometer y₀=75 cm, the distance from empty space y'₀ = 9 cm and the final height of the barometer y₁ = 59 cm.

 

The volume of the cylinder is

         V = π r² y

Let's calculate the initial volume.

         V₀ = π 1 9

         V₀ = 28.27 cm³

We substitute in equation 1.

         V₁ = [tex]\frac{\rho \ g \ y_o}{\rho \ g \ y_1} \ V_o[/tex]  

         V₁ = [tex]\frac{y_o}{y_1} \ V_o[/tex]  

Let's calculate.

        V₁ = [tex]\frac{75}{59} \ 27.27[/tex]  

        V₁ = 35.94 cm³

The volume to be incremented is

         ΔV = V₁ - V₀

         ΔV = 35.94 - 28.27

         ΔV = 7.67 cm³

Using the ideal gas equation and the pressure in barometer we can find the amount of air that we must introduce into the barometer for the change in height of the mercury column is:

The change of the volume is: ΔV = 7.67 cm³

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Related Questions

A 0.5 kg cheeseburger is lobbed at a particularly unhappy customer with a force of 10 N.
While it is being thrown, what is the acceleration experienced by the cheeseburger?
Answer in units of m/s2

Answers

The acceleration that the cheeseburger experienced is 20 m/s^2.

PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!

While exercise generally benefits all of the glands, why is it particularly beneficial for the pancreas?
A.
Exercise increases the levels of the hormones that the pancreas produces.
B.
Physical activity positively impacts blood sugar, giving the pancreas less work.
C.
The pancreas can only properly regulate hormones when the body is in motion.
D.
The pancreas is structured more like a muscle than a gland, so it benefits from stretching.


PLEASE NO LINKS

Answers

Answer:

B

Explanation:

The pancreas is responsible for regulating blood sugar, exercise gives it less work to do

Excercise is particularly beneficial for the pancreas because physical activity positively impacts blood sugar, giving the pancreas less work. Correct option is B.

When you engage in physical activity, several things happen that benefit the pancreas:

Increased Insulin Sensitivity: Exercise helps improve the body's sensitivity to insulin. This means that cells become more responsive to the insulin signal, allowing glucose to enter the cells more effectively. This can help prevent insulin resistance, a condition where cells don't respond properly to insulin and blood sugar levels rise.

Improved Blood Sugar Regulation: Exercise can lower blood sugar levels by facilitating the uptake of glucose into cells for energy. This can reduce the burden on the pancreas to produce excess insulin to manage high blood sugar levels.

Reduced Risk of Type 2 Diabetes: Regular physical activity is associated with a reduced risk of developing type 2 diabetes, a condition characterized by impaired blood sugar regulation. By helping maintain healthy blood sugar levels, exercise supports the pancreas in its role of insulin production.

To know more about pancreas:

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#SPJ3

The wheel of bicycle has a radius of 25cm.what will be the magnitude of the angular displacemant in radian and revolution respectively,when the wheel has rolled a distance of 350cm on straight level road?

Answers

14 radians and 2.23 revolutions

hope this helps

A mass 25kg is attached to a spring which is held stretched a distance 120 cm by a force F=300N (Fig. 7-28), and then released. The spring compresses, pulling the mass. Assuming there is no friction, determine the speed of the mass m when the spring returns: (a) to its normal length (x = 0). (b)find the spring constant k?

Answers

Explanation:

Spring is stretched by force f to distance

"X"

now here by force balance we can say

f = kx

k = !

now here we will we say that energy stored in the spring will convert into kinetic energy

kx² = mv²

(x² = mv²

now solving above equation we will have

PART 2)

now for half of the extension again we can use energy conservation

ka²-k(x/2)² = 1 {mv²

¾fx=mv²

now the speed is given as

3 fr 4m V=

Explain why position is a dependent variable in a position versus time graph.

Answers

Answer:

Explanation:

The position depends on the time.  The longer the time, the further the distance.

How to calculate specific heat.

Answers

Need more information to answer this question

Rubies are used in electronics.
Please select the best answer from the choices provided
) Т
) F

Answers

False, rubies are not used in electronics because they are bad conductors.

Which of the following processes generated heat during earths formation that is still a source of heat in earths interior

Answers

Answer:

There are three main sources of heat in the deep earth: (1) heat from when the planet formed and accreted, which has not yet been lost; (2) frictional heating, caused by denser core material sinking to the center of the planet; and (3) heat from the decay of radioactive elements

a bus increase its velocity from 30m/s to 45m/s and covers 300m distance. Find the time​

Answers

Answer:

3.5 m/s²

Hope this helps, have a nice day/night! :D

Which do you think is easiest and hardest to keep track of: hazardous waste that is present as a gas, liquid, or solid? Why?

Answers

Answer:

probably liquid cause it can be contained easily

In a car race, the average speed of the car was 90 km/hr where the total
covered distance was 450 km.
1. Calculate the average speed of the car in SI unit.

Answers

Explanation:

The speedometer of a motor car showed the following speeds in km per hour at the ends of successive intervals of 3 secs. 38.9, 52.8, 64.4. 73.6, 80.9, 86.1, 90.0, 92.5 Plot the velocity – time graph in convenient units and find from the graph, (a) The distance covered while the speed increased from 80

8) If a dog is running at 25 feet per second, how far will he travel after I minute of running? Efe runs for 30 minutes at a speed of 40 miles per hour, how far will run? 10) Turbo the Snail moves across the ground at a pace of 12 feet per day If the garden is 48 feet away, how many days will it take for the snail to get there?​

Answers

the dog will run 1,500 feet
Efe will run 20 miles in 30 minutes
Turbo will take 4 days to get there

Help plz????????? Giving out Brainly

Answers

Answer:

Answer should be (B)

Explanation:

If the forces on an object are balanced (or if there are no forces acting on it), this is what happens: a stationary object stays still. a moving object continues to move at the same speed and in the same direction.

ALSO: forces acting upon an object are balanced, then the object will maintain its state of motion. To maintain the state of motion is to keep the current speed and direction. But if the forces are not balanced, the object will change its state of motion.

A) infrared energy
B) microwave energy
C) radio wave energy

Answers

Answer:

Infrared energy

Explanation:

Answer:

A) infrared energy

Explanation:

In the pie chart below, which of the following represents the amount of Earth's surface covered by water?
A only
B only
B and C
D only

Answers

Answer:

A

Explanation:

Find the average speed of the car if it's speed is 50km/hour and distance is 10 km.

Answers

Answer:

50km/hour

Explanation:

the average speed and the speed are the same

A father pushes his child in a cart. The cart starts to move.



Scientists can use many physical quantities to describe what is happening.

The car is placed on a ramp, which is 20 meters high. The mass of the car and the child is 100kg.



Calculate the potential energy the car will have before it is let go and the velocity the car will travel at down the ramp assuming no frictional forces.



Acceleration due to gravity (g) = 10 m/s2

Answers

The potential energy of the car when it let go is 20,000 J.

The speed of the car at the bottom of the ramp is 20 m/s.

The given parameters;

mass of the car, m = 100 kgheight of the car, h = 20 m

The potential energy of the car is calculated as follows;

P.E = mgh

P.E = 100 x 10 x 20

P.E = 20,000 J

The speed of the car at the bottom of the ramp is calculated as follows;

[tex]K.E = P.E\\\\\frac{1}{2} mv^2 = mgh\\\\v^2 = 2gh\\\\v = \sqrt{2gh} \\\\v = \sqrt{2 \times 10 \times 20} \\\\v = 20 \ m/s[/tex]

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a person weighing 500 N climbs 3 m how much power. is needed to make the climb in 5 s?

Answers

Answer:

300watts

Explanation:

Answer:

300 watts

lol hoped this helped

:)

which wave has a higher frequency and why?

Answers

Explanation:

the figure in the left side has higher frequency.

because it has more nos. of wave in 1sec.

In which material does the light wave have the larger wavelength?

Answers

Answer: in the smaller/ thinner pieces.

If the acceleration of an object increases, what effect does this have on the Force and Mass?
A Force Increases, Mass Increases
B Force Decreases, Mass Decreases
C Force increases, Mass remains the same
D Force Decreases, Mass remains the same​

Answers

Answer:

Force Increases and Mass remains the same.

Explanation:

what is the direction of the rotational velocity vector of the jar lid when you open a jar of pickles?

Answers

Answer:

Explanation:

The rotational velocity vector is directed away from the jar

Suppose that a cart is moving along a road at a constant velocity. Give two examples of ways to cause the cart to decelerate, explaining how the net force is affected. (2 points)

Answers

The cart moving at a constant velocity will decelerate when a braking force is applied or the road is made to become rougher.

Deceleration is also known as negative acceleration. It occurs when velocity decreases with time. There are two ways by which the cart moving at constant velocity can be made to decelerate. These two ways are;

By applying a braking force: A braking force causes the velocity to decrease with time. When a braking force is applied the frictional force exceeds the forward force hence the net force decreases.By increasing the roughness of the road: When the roughness of the road is increased, the frictional force also increases causing the net force on the cart to decrease hence it decelerates.

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why the speed of sound in solid and liquid is not signoficantly affected by temperature

Answers

Explanation:

because the molecules are closer together and more tightly bonded in solids

Determine the elastic energy U stored in
the compressed spring.

Answers

Answer:

Answer: The spring constant of the spring is k = 800 N/m, and the potential energy is U = 196 J. To find the distance, rearrange the equation: The equation to find the distance the spring has been compressed is therefore: The spring has been compressed 0.70 m, which resulted in an elastic potential energy of U = 196 J being stored.

Explanation:

In the diagram below if bulb 2 blew out what would happen to the VOLTAGE? (it’s not decreases that’s why it’s highlighted)

Answers

Answer:

apagado, así que lo más destacado es el problema, oh, está bien, esa es la respuesta, cariño.

a ball is thrown vertically up ward with a velocity of 25m/s. a/how fast was it moving after 2sec?​

Answers

Answer:

12.5

Explanation:

given

distance=25

time=2sec

required

=speed

solution

=v=s/t

25/2

=12.5m/s

Jade has a refractive index of 1.61. If light approaches the gem at an angle of 80.0°, what is the angle of refraction?

Calculate the index of refraction of a material if the angle of incidence is 60° and the angle of refraction is 50°

Answer using calculations & full work and thoughts shown.

Answers

From Snell's law,  the angle of refraction is 38 degree approximately and the index of refraction is 1.13

The given refractive index is 1.61

If light approaches the gem at an angle of 80.0°, that means the angle of incidence is 80.0°

To calculate the angle of refraction, we will use Snell's law which state that:

n = sin i / sin r

where n = refractive index

Substitute all the parameters into the formula

1.61 = sin 80 / sin r

make sin r the subject of formula

sin r = sin 80 / 1.61

sin r = 0.611

r = [tex]Sin^{-1}[/tex](0.611)

r = 37.7

r = 38 degree (Approximately)

We will use the same formula to calculate the index of refraction of a material if the angle of incidence is 60° and the angle of refraction is 50°. That is,

n = sin i / sin R

Where n = index of refraction

i = Incidence

R = refraction

Substitute all the parameters to the formula

n = sin 60 / sin 50

n = 0.866 / 0.766

n = 1.13

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Dark matter is inferred to exist because it explains the abundance of helium in the universe today. we can observe its gravitational influence on visible matter. it explains how the expansion of the universe can be accelerating. we see lots of dark patches in the sky

Answers

we can observe its gravitational influence on visible matter.

Dark matter is a term used in astrophysics to refer to matter that corresponds to approximately 80% of the matter in the universe.

Dark matter is related to the motion of galaxies because visible matter makes up only a small part of the cluster and the galaxies show signs of being composed mainly of a halo of dark matter concentrated in their center.

Learn more in: https://brainly.com/question/17548748

something about the earth's surface (land or water) changes

Answers

I would say land changes.
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