The deepest ocean trench is about $10.9 \mathrm{~km}$ deep. Find the pressure at this depth. (b) How many times larger than atmospheric pressure is this?

What must the water pressure be to supply the second floor ( $18.0 \mathrm{ft}$ up) with a pressure of $50.0\ \mathrm{lb} / \mathrm{in}^2$ at that level?

A pressure cooker is a sealed container that allows steam to escape when it exceeds a predetermined pressure. How does this device reduce the time needed for cooking?

The atmospheric pressure p on an object decreases with increasing height. This pressure, measured in millimeters of mercury, is related to the height h (in kilometers) above sea level by the function $p(h)=760 e^{-0.145 h}$ Find the height of an aircraft if the atmospheric pressure is 320 millimeters of mercury.

In an article on tire maintenance, it is stated that tires lose air over time, and pressure losses as high as 90 kPa (13 psi) per year are measured. The article recommends checking tire pressure at least once a month to avoid low tire pressure that hurts fuel efficiency and causes uneven thread wear on tires. Taking the beginning tire pressure to be 220 kPa (gage) and the atmospheric pressure to be 100 kPa, determine the fraction of air that can be lost from a tire per year.

Earth’s atmosphere is in hydrostatic equilibrium. What this means is that the pressure at any point in the atmosphere must be high enough to support the weight of air above it. How would you expect the pressure on Mt. Everest to differ from the pressure in your classroom? Explain why.

Sue Ann Apolinar hired a guide through Arkansas Valley Adventures, LLC, for a rafting excursion on the Arkansas River. At the outfitter’s office, Apolinar signed a release that detailed potential hazards and risks, including “overturning,” “unpredictable currents,” “obstacles” in the water, and “drowning.” The release clearly stated that her signature discharged Arkansas Valley from liability for all claims arising in connection with the trip. On the river, while attempting to maneuver around a rapid, the raft capsized. The current swept Apolinar into a logjam where, despite eorts to save her, she drowned. Her son, Jesus Espinoza, Jr., Filed a suit in a federal district court against the rafting company, alleging negligence. What are the arguments for and against enforcing the release that Apolinar signed? Discuss. [Espinoza v. Arkansas Valley Adventures, LLC, 809 F.3d 1150 (10th Cir. 2016)] (See Legality.)

A gas syringe contains 50. mL of CO2 at 1.0 atm pressure. What is the pressure inside the syringe when the plunger is depressed to 25 mL?

The pressure in a bicycle tire is 1.34 atm at $33.0^{\circ} \mathrm{C}$. At what temperature will the pressure inside the tire be 1.60 atm? Volume is constant.

A Pitot-static tube used to measure air velocity is connected to a pressure gage. If the air temperature is $10^{\circ} \mathrm{C}$ at standard atmospheric pressure at sea level, and if the gage reads a differential pressure of $3 \mathrm{kPa}$, what is the air velocity?

The rate of change of atmospheric pressure $P$ with respect to altitude $h$ is proportional to $P$, provided that the temperature is constant. At $15^{\circ}C$ the pressure is 101.3 kPa at sea level and 87.13 kPa at $h = 1000 \text{ m}$. What is the pressure at the top of Mount McKinley, at an altitude of 6187 m?

A cook puts 9.00 g of water in a 2.00 L pressure cooker that is then warmed to $500^{\circ} \mathrm{C}$. What is the pressure inside the container?

Consider the scalar field (pressure field) given by $f(x, y)=9 x^2+4 y^2$. Find the isobars (curves of constant pressure). Sketch some of them.

Define the term partial pressure.