Solved atmospheric pressure exercises

Practice your knowledge about atmospheric pressure with the exercises and resolve your doubts with the commented solutions.

Question 1

Atmosphere is a layer of gases that surrounds a celestial body. Regarding the concept of atmosphere, the following statements are correct:

  1. Atmospheric pressure at sea level is generally greater than atmospheric pressure at higher altitudes.

  2. Atmospheric pressure varies with temperature, with pressure increasing as temperature decreases.

  3. Atmospheric pressure is higher in regions close to the Equator due to the greater air density in this region.

a) Only 1
b) Only 2
c) Only 1 and 2
d) Only 2 and 3
e) All

Answer: c) Only 1 and 2.

Atmospheric pressure is inversely related to altitude and temperature. Furthermore, it is not directly linked to the equator.

Question 2

A mercury barometer positioned at sea level records a pressure of 760 mmHg. With changes in atmospheric climate such as air temperature and humidity, the same barometer increases 15 mmHg in value registered. Right now. What will be the atmospheric pressure in atm?

Answer: Approximately 1.019 atm.

We just need to solve a rule of three.

numerator 760 space m m H g over denominator 1 space at t m end of fraction equal to numerator 760 space plus space 15 space m m H g over denominator x space at t m end of fraction numerator 760 mmHg space over denominator 1 atm space end of fraction equal to numerator 775 mmHg space over straight denominator x atm space end of fraction 760. straight x space equals space 775.1 straight x equals 775 over 760 straight x approximately equals 1 comma 019 space atm

Question 3

In a suction pump, air is removed from a metallic cylinder until its internal pressure registers 8 space. space 10 to the power of 4 Pa. Determine the pressure difference in atmospheres between the outside, at 10 comma 1 space. space 10 to the power of 4 space Pa, and the inside of the cylinder.

Answer: Approximately 0.79 atm.

With atmospheric pressure being 101,000 Pa and internal pressure being 80,000 Pa, the pressure difference will be:

101,000 - 80,000 = 21,000 Pa.

As 1 atm = 101,000 Pa, to know how much 21,000 Pa is equivalent to in atm, just use a rule of three.

numerator 101 space 000 space P a over denominator 1 space atm end of fraction equal to numerator 80 space 000 space P a over straight denominator x space atm end of fraction 101 space 000. straight x space equals space 80 space 000 space. space 1 straight x equal to numerator 80 space 000 over denominator 101 space 000 end of fraction straight x approximately equal 0 comma 79 space atm

Question 4

(CBM-AP 2012) A group of firefighters are undergoing diving training in a lake. The instructor informs you that the atmospheric pressure at the surface of the lake is approximately 101 kPa. In He then asks the group of soldiers at what depth the pressure is twice atmospheric pressure. Considering that the specific mass of water (ρ) is equal to 10 cubed space kg divided by square m cubed and that the acceleration of gravity (g) is equal to 10 straight space m divided by straight s squared, select the alternative that presents the correct answer to be reported to the instructor.

a) 5.05 m

b) 10.1 m

c) 20.2 m

d) 50.5 m

e) 101 m

Answer key explained

For the pressure to be twice that of atmospheric pressure, it must be:

straight P equals 101 space Kpa space plus space 101 space Kpa

At the surface of the fluid there is already an action of 101 kPa by the atmosphere. Therefore, the pressure in the liquid must also be 101 Kpa.

straight P equals straight rho. straight g. straight hreto P equal to 1000 space. space 10 space. straight space hnumerator 101 space 000 over denominator 10 space 000 end of fraction equals straight h10 comma 1 straight space m space equals straight space h

Question 5

(Enem 2013) To carry out an experiment with a PET bottle filled with water, the side of the bottle was punctured in three positions at different heights. With the bottle covered, the water did not leak through any of the holes, and, with the bottle uncovered, water flow was observed as shown in the figure.

Image associated with the question.

How does atmospheric pressure interfere with water flow, in situations with the bottle capped and uncovered, respectively?

a) Prevents water from escaping, as it is greater than the internal pressure; does not change the flow speed, which only depends on the pressure of the water column.

b) prevents water from escaping, as it is greater than the internal pressure; changes the flow velocity, which is proportional to the atmospheric pressure at the height of the hole.

c) Prevents air from entering, as it is lower than the internal pressure; changes the flow velocity, which is proportional to the atmospheric pressure at the height of the hole.

d) Prevents water from escaping, as it is greater than the internal pressure; regulates the flow speed, which only depends on atmospheric pressure.

e) Prevents air from entering, as it is lower than the internal pressure; does not change the flow speed, which only depends on the pressure of the water column.

Answer key explained

With the bottle capped, the hydrostatic pressure inside the bottle is equal to the atmospheric pressure outside, so, due to equilibrium, there is no flow.

straight P with atmospheric subscript space greater than or equal to inclined straight space P with hydrostatic subscript

With the bottle uncapped, in addition to the hydrostatic pressure inside the bottle, there is also atmospheric pressure, with the internal pressure being greater than the external pressure.

straight P with atmospheric subscript space less than or equal to inclined straight space P with hydrostatic subscript

Question 6

(Fuvest 2019) Large commercial planes fly at altitudes where the air is thin and atmospheric pressure is low. Due to this, their interior is pressurized at a pressure equal to atmospheric pressure at an altitude of 2,000 m. The figure shows the graph of atmospheric pressure as a function of altitude.

Graph of atmospheric pressure by altitude.

The force, in N, to which a flat glass window, measuring 20 x 30 cm², is subjected, in the passenger cabin at an altitude of 10,000 m, is approximately

a) 12,400

b) 6,400

c) 4,800

d) 3,200

e) 1,600

Answer key explained

Objective: calculate the force in Newtons acting on the window.

Inside the plane.

Pressure is force over area. This way we can determine the force.

straight P equals straight F over straight Areto F equals straight P. straight A

In the plane, pressure is equal to atmospheric pressure at an altitude of 2000 m. From the graph we obtain 80,000 Pa.

The area of ​​the window, in square meters, is:

0 comma 2 straight space m straight space x space 0 comma 3 straight space m space equals space 0 comma 06 straight space m squared

Therefore, the force inside is:

straight F equals 80 space 000 straight space x space 0 comma 06 space equals space 4 space 800 straight space N

Outside the plane.

The pressure is equal to atmospheric pressure at an altitude of 10,000 m. From the graph we obtain about 26,000 Pa.

straight F equals 26 space 000 straight space x space 0 comma 06 space equals space 1 space 560 straight space N

The resultant force vector that acts on the window will be:

4800 - 1560 = 3 240 N

Learn more about atmospheric pressure.

See too:

  • What is Atmosphere?
  • Air Properties
  • Hydrostatics: density, pressure, thrust and formulas
  • Layers of the Earth's atmosphere and their characteristics
  • Stevin's Theorem: Fundamental Law of Hydrostatics

ASTH, Rafael. Atmospheric pressure exercises solved.All Matter, [n.d.]. Available in: https://www.todamateria.com.br/exercicios-de-pressao-atmosferica/. Access at:

See too

  • Atmospheric pressure
  • Hydrostatic exercises
  • Hydrostatic Pressure
  • Thermometric Scales - Exercises
  • Kinematics: Exercises commented and solved
  • Exercises on thermodynamics

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