MCAT Physical : Fluids and Gases

Study concepts, example questions & explanations for MCAT Physical

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Example Questions

Example Question #2 : Real Gases

Which of the following is relevant for real gases, but irrelevant for ideal gases? 

I. Volume of gas particles

II. Intermolecular forces between gas particles

III. Volume of container

Possible Answers:

I and III

I and II

I only

III only

Correct answer:

I and II

Explanation:

There are two main assumptions for an ideal gas (and a few smaller assumptions). First, the gas particles of the ideal gas must have no molecular volume. Second, the gas particles must exert no intermolecular forces on each other; therefore, forces such hydrogen bonding, dipole-dipole interactions, and London dispersion forces are irrelevant in ideal gases. Other small assumptions of ideal gases include random particle motion (no currents), lack of intermolecular interaction with the container walls, and completely elastic collisions (a corollary of zero intermolecular forces).

For real gases, however, these assumptions are invalid. This means that the real gas particles have molecular volume and exert intermolecular forces on each other. 

Recall that the volume in the ideal gas law is the volume of the free space available inside the container. For ideal gases, the free space volume is equal to the volume of the container because the gas particles take up no volume; however, for real gases, the free space volume is the volume of the container minus the volume of the gas particles. Though the exact values of free space volume will differ, the volume of the container is important for both real and ideal gases.

Example Question #1 : Partial Pressure

Which of the following is a direct application of Henry's law?

Possible Answers:

Viscosity of the fluid in the lungs

Gas exchange in the lungs

Tract system from nostrils to alveoli

Volume in lung capacity

Air pressure in the lungs

Correct answer:

Gas exchange in the lungs

Explanation:

Henry's Law directly applies to gas exchange in the lungs, as it states that the amount of dissolved gas in a liquid are proportional to the solubility of the gas in the liquid. As oxygen is dissolved in the bloodstream, it is able to diffuse into the air of the lungs depending upon intrapleural pressure of that particular gas. Essentially, Henry's law dictates how readily oxygen will cross the alveolar epithelium.

Example Question #2 : Partial Pressure

A container has three moles of gas A, three moles of gas B, and six moles of gas C. The total pressure of the system is . The partial pressure of gas B is __________ less than the partial pressure of gas C.

Possible Answers:

Correct answer:

Explanation:

To solve this question you need to know the Dalton’s Law of partial pressure:

In this equation, is the partial pressure of the gas,  is the mole fraction of the gas, and  is the total pressure of the system. You also need to know the definition of mole fraction: moles of a compound divided by total moles in the system.

This question requires us to calculate the partial pressure of both gas B and gas C. First, let’s find the partial pressure of gas B. The mole fraction of gas B is:

We are given the total pressure of the system. Using the calculated mole fraction, we can solve for the partial pressure of gas B:

Similarly, we can find the partial pressure of gas C. The mole fraction of gas C is:

The mole fraction times the total pressure will give the partial pressure of gas C:

Finally, find the difference between the partial pressures of the two gases.

The partial pressure of gas B is  less than the partial pressure of gas C.

Example Question #1 : Partial Pressure

The molecular weight of gas A is .

Gas A is in a mixture with four other gases and has a partial pressure of . The other four gases have partial pressures of  respectively.

What is the mass of gas A in this mixture?

Possible Answers:

Cannot be determined from the given information

Correct answer:

Cannot be determined from the given information

Explanation:

Recall Dalton’s Law of partial pressure:

In this equation,  is the partial pressure of the gas,  is the mole fraction of the gas, and  is the total pressure of the system. The mole fraction, , is defined as the moles of a compound divided by the total moles in the system:

From the given information, we can solve for mole fraction of gas A using the partial pressure of gas A and the total pressure of the system.

To find the mass of gas A we need to find the moles of gas A in the mixture and multiply it by the molecular weight of gas A; however, the information given in this question only allows us to solve for the mole fraction of gas A, or percentage of gas A in the system. To convert mole fraction to moles we would need to know the total number of moles in the mixture; therefore, the mass of gas A cannot be determined.

Example Question #1 : Partial Pressure

A container with a total pressure () of 3atm holds 0.80mol of oxygen and 0.20mol of nitrogen. What is the partial pressure of oxygen in this container?

Possible Answers:

Correct answer:

Explanation:

Partial pressure is given by the mole fraction of a gas multiplied by the total pressure in the container. Mole fraction is equal to the moles of a given compound divided by the total moles.

This is an application of Dalton's Law.

Example Question #2 : Partial Pressure

Which of the following is false regarding partial pressure?

Possible Answers:

Partial pressure can be calculated if you know the mole fraction of the gas and the total pressure of the system

Partial pressure signifies the pressure of a gas in a system at

Dalton’s Law of partial pressure is only valid for a mixture of inert gases

In Earth’s atmosphere, nitrogen has the largest partial pressure

Correct answer:

Partial pressure signifies the pressure of a gas in a system at

Explanation:

Partial pressure of a gas is defined as the pressure of the gas in a mixture of gases. It is calculated by using Dalton’s Law of partial pressure, which states that the partial pressure is equal to the product of the mole fraction of the gas and the total pressure of the system.

One of the assumptions of this law is that the gases are independent and do not chemically react with each other. This means that the gases in the system have to be inert. If the gases were reactive with each other, then Dalton’s Law would become invalid. Recall that Earth’s atmosphere contains about 78% nitrogen, 21% oxygen, and 1% all other gases; therefore, nitrogen has the largest partial pressure in the atmosphere because it has the greatest mole fraction.

Partial pressure does signify the pressure of a gas in a mixture of gases, but it is only valid for the temperature of the system. The partial pressure of the gas will be different for different temperatures. This occurs because pressure is dependent on temperature. Changing the temperature will not alter the mole fraction (amount of gas); however, it will alter the total pressure which will subsequently alter the partial pressure of the gas according to Dalton's Law.

 

Example Question #31 : Gases

An ideal gas with a volume of one liter at STP is placed into a piston chamber that can freely change volume. The volume is measured as the temperature is lowered. The gas will achieve its minimal volume at __________.

Possible Answers:

its boiling point

Correct answer:

its boiling point

Explanation:

The best answer is the compound's boiling point. At this point, it ceases obeying the gas laws and becomes a liquid.

If it were possible to remain in a gaseous state to zero Kelvin (), then this would be the correct answer. As the gas changes to a liquid, it becomes effectively resistant to further compression and will occupy the same volume through any further decrease in temperature.

Example Question #62 : Fluids And Gases

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.

Capture

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) · Dgas · (P1 – 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, Dgas­, the diffusion constant of the gas, is defined as:

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

At an alveoli-capillary diffusion equilibrium, which of the following is true?

Possible Answers:

There is a 4:1 exchange of carbon dioxide.

There is a 1:1 exchange of oxygen.

There is a 5:1 exchange of carbon dioxide.

There is a 2:1 exchange of oxygen.

Correct answer:

There is a 1:1 exchange of oxygen.

Explanation:

This is also a straightforward question that can be answered from little to no information from the passage. The point of emphasis here is equilibrium. At a diffusion equilibrium there is no net change, and thus, a one-to-one oxygen molecule exchange fits the bill. 

Example Question #32 : Gases

Gas X has a density of  and gas Y has a density of . Equal volumes of the two gases are sealed in a container, which is then punctured by a small pin. Which gas diffuses faster out of the container?

Possible Answers:

Gas X because it has a lower molar mass than gas Y

Gas Y because it has a higher molar mass than gas X

Gas X because it has a higher molar mass than gas Y

Gas Y because it has a lower molar mass than gas X

Correct answer:

Gas X because it has a lower molar mass than gas Y

Explanation:

To solve this question, we can use Graham's law of effusion:

Graham's law demonstrates that the rate of effusion is inversely proportional to the square root of the molar mass. Essentially, lighter gases will effuse more quickly than heavier gases.

Given the densities and equal volumes of the two gases, we see that the gas with the greater density will account for more molar mass. The volume of gas Y weighs twice as much as the volume of gas X. Based on this information, we can conclude that gas X diffuses faster because it has a lower molar mass.

Example Question #33 : Gases

Which equation best describes Boyle's law?

Possible Answers:

Correct answer:

Explanation:

Boyle's law describes the inverse relationship between a change and pressure and a change in volume, while a sample of gas is kept at constant temperature. This relationship can be mathematically written as:

or

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