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.

A certain gas has a volume of $420 \mathrm{cm}^{3}$ at a pressure of 720 mm. What will its volume be if the pressure is increased to 840 mm?

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.

A gage attached to a pressurized nitrogen tank reads a gage pressure of 28 in of mercury. If atmospheric pressure is 14.4 psia, what is the absolute pressure in the tank? (a) 95 kPa, (b) 99 kPa, (c) 101 kPa, (d) 194 kPa, (e) 203 kPa

If the absolute pressure of a gas is 550.280 kPa, its gauge pressure is

a) 101.325 kPa

b) 448.955 kPa

c) 651.605 kPa

d) 277.280 kPa

Earth's atmospheric pressure $p$ is often modeled by assuming that the rate $d p / d h$ at which $p$ changes with the altitude $h$ above sea level is proportional to $p$. Suppose that the pressure at sea level is $1013$ millibars (about $14.7$ pounds per square inch) and that the pressure at an altitude of $20 \mathrm{~km}$ is $90$ millibars.

What is the atmospheric pressure at $h=50 \mathrm{~km}$ ?

Water towers are tall to provide enough water pressure to supply all of the houses and businesses in the area of the tower. Each foot of height provides 0.43 psi (pounds per square inch) of pressure. Write a sequence for the pressure in psi for each foot of height.

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.

Carbon dioxide discharges from a tank through a convergent nozzle into the atmosphere. If the tank temperature and gage pressure are 38$^{\circ} \mathrm{C}$ and 140 kPa, respectively, what jet temperature, pressure, and velocity can be expected? Barometric pressure is 101.3 kPa.

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?

If the pressure at $A$ is $215\ \mathrm{kPa}$, and the velocity of the water at this point is $2.25 \mathrm{~m} / \mathrm{s}$, find the pressure in the pipe at $B$ if the water is discharged into the atmosphere at $C$.

How does the solubility of a gas in a liquid depend on pressure? How does this pressure dependence account for the bubbling that occurs upon opening a can of soda?

Water pressure at the bottom of the ocean arises from the weight of the overlying water. Does this mean that the water exerts pressure only in the downward direction? Explain.