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?

What is the pressure of a fixed volume of hydrogen gas at $30.0^{\circ} \mathrm{C}$ if it has a pressure of 1.11 atm at $15.0^{\circ} \mathrm{C} ?$

How does water pressure $1 \mathrm{~m}$ beneath the surface of a lake compare with water pressure $1 \mathrm{~m}$ beneath the surface of a swimming pool?

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 a mountain if the atmospheric pressure is 667 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.

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?

The atmospheric pressure (in millibars) at a given altitude (in meters) is shown in the table. Use a graphing calculator to make a scatter diagram of the data for atmospheric pressure P at altitude x.

The vapour pressure of water is $12.3 \mathrm{kPa}$ at $300 \mathrm{~K}$. Calculate the vapor pressure of 1 molal solution of a non-volatile solute in it.

What is the capillary pressure for water in a vertical tube of radius $10 \mathrm{~nm}$. Express your answer in pascals and as a ratio relative to atmospheric pressure.

Consider the scalar field (pressure field) given by $f(x, y)=9 x^2+4 y^2$. Find the region in which the pressure varies between $36$ and $144$ .

Boiling and freezing occur when water is subjected to (a) decreased temperatures. (b) decreased atmospheric pressure. (c) increased temperatures. (d) increased atmospheric pressure.

Prove for an ideal gas that (a) the P = constant lines on a T-v diagram are straight lines and (b) the high-pressure lines are steeper than the low-pressure lines.

Solve each problem. The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 10 ft is 50 pounds per square inch (psi). What is the pressure at 15 ft?