Two identical balloons, balloon A and balloon B, are filled with gas A and gas B, respectively. In which described scenario will the balloon rise the fastest?

An irregular solid has a mass of  on a laboratory balance. It is suspended by a thread from a spring scale and fully immersed in water. The spring scale reads . What is the buoyant force on the solid?

Two students in a physics class are conducting an experiment to see how different objects displace water in a container. Student A places a lead spherical marble with a radius of  in the container. Student B places a considerably lighter solid glass sphere in the container, with twice the volume of the lead marble. Which of the following statements is true?

I. The amount of displaced water depends on the mass of a fully immersed object

II. The amount of water displaced depends on the volume of a fully immersed object

III. Student A's object will make the water level rise more than Student B's

IV. Student B's object will make the water level rise more than Student A's

V. From the information given, one cannot determine which object would displace more water

Ethanol has a specific gravity of 0.780. If a long barometer tube is placed in a dish of ethanol, with the top end open to the atmosphere, to what height in the tube will the ethanol rise?

Atmospheric pressure = 1.01 * 10⁵ Pa

g = 9.81 m/s²

Density of water = 1000 kg/m³)

A diver in a lake rises from  deep, where the gauge pressure reads , to the surface, where the gauge pressure reads . Upon reaching the surface, by what percent has the pressure experienced by the diver changed?

A tank is filled to a depth of with water. Oil with a density of  is added to the tank until the final depth is . What is the reading of the pressure gauge at the bottom of the tank?

Ignore the contribution of atmospheric pressure.

Two coins lie at the bottom of a pool with an uneven bottom. One is under  of the water, and the second is under  of water. What is the approximate ratio of total pressure experienced by the first coin to total pressure experienced by the second?

Diffusion can be defined as the net transfer of molecules down a gradient of differing concentrations. This is a passive and spontaneous process and relies on the random movement of molecules and Brownian motion. Diffusion is an important biological process, especially in the respiratory system where oxygen diffuses from alveoli, the basic unit of lung mechanics, to red blood cells in the capillaries.

Figure 1 depicts this process, showing an alveoli separated from neighboring cells by a capillary with red blood cells. The partial pressures of oxygen and carbon dioxide are given. One such equation used in determining gas exchange is Fick's law, given by:

ΔV = (Area/Thickness) · D_gas · (P_{1 –} P₂)

Where ΔV is flow rate and area and thickness refer to the permeable membrane through which the gas passes, in this case, the wall of the avlveoli. P₁ and P₂ refer to the partial pressures upstream and downstream, respectively. Further, D_gas­, the diffusion constant of the gas, is defined as:

D_gas = Solubility / (Molecular Weight)^(1/2)

Under certain conditions, alveoli enlarge or constrict. How would either change affect ΔV?

Diffusion can be defined as the net transfer of molecules down a gradient of differing concentrations. This is a passive and spontaneous process and relies on the random movement of molecules and Brownian motion. Diffusion is an important biological process, especially in the respiratory system where oxygen diffuses from alveoli, the basic unit of lung mechanics, to red blood cells in the capillaries.

Figure 1 depicts this process, showing an alveoli separated from neighboring cells by a capillary with red blood cells. The partial pressures of oxygen and carbon dioxide are given. One such equation used in determining gas exchange is Fick's law, given by:

ΔV = (Area/Thickness) · D_gas · (P_{1 –} P₂)

Where ΔV is flow rate and area and thickness refer to the permeable membrane through which the gas passes, in this case, the wall of the avlveoli. P₁ and P₂ refer to the partial pressures upstream and downstream, respectively. Further, D_gas­, the diffusion constant of the gas, is defined as:

D_gas = Solubility / (Molecular Weight)^(1/2)

In higher altitudes, a decrease in which factors of Fick's law can change in order to achieve the same flow rate at lower altitudes.

Diffusion can be defined as the net transfer of molecules down a gradient of differing concentrations. This is a passive and spontaneous process and relies on the random movement of molecules and Brownian motion. Diffusion is an important biological process, especially in the respiratory system where oxygen diffuses from alveoli, the basic unit of lung mechanics, to red blood cells in the capillaries.

Figure 1 depicts this process, showing an alveoli separated from neighboring cells by a capillary with red blood cells. The partial pressures of oxygen and carbon dioxide are given. One such equation used in determining gas exchange is Fick's law, given by:

ΔV = (Area/Thickness) · D_gas · (P_{1 –} P₂)

Where ΔV is flow rate and area and thickness refer to the permeable membrane through which the gas passes, in this case, the wall of the avlveoli. P₁ and P₂ refer to the partial pressures upstream and downstream, respectively. Further, D_gas­, the diffusion constant of the gas, is defined as:

D_gas = Solubility / (Molecular Weight)^(1/2)

Conceptually, if alveoli are considered to be perfectly spherical and assuming that its entire surface exchanges gas, which new relationship, introducing the variable, r, the radius of an alveoli, correctly describes Fick's Equation, assuming partial pressures remain constant?