MCAT Physical : Colligative Properties

Study concepts, example questions & explanations for MCAT Physical

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Example Questions

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Example Question #4 : Vapor Pressure

Which statement is false with regard to vapor pressure?

Possible Answers:

The boiling point occurs when the vapor pressure of a liquid equals the local atmospheric pressure

Diethyl ether has a lower vapor pressure than water due to its greater molecular weight

Vapor pressure occurs in a state of dynamic equilibrium in which the rate of liquid converting to gas equals the rate of gas converting to liquid

Substances with stronger intermolecular forces tend to have lower vapor pressures

Vapor pressure decreases when a non-volatile solute is added to a pure solvent

Correct answer:

Diethyl ether has a lower vapor pressure than water due to its greater molecular weight

Explanation:

Vapor pressure represents a state of dynamic equilibrium in which the rate of liquid escaping to gas is equal to the rate of gas condensing to liquid. Liquids with stronger intermolecular forces have a smaller amount of liquid escaping to gas, and thus have a lower vapor pressure.

Diethyl ether does not create hydrogen bonds, whereas water does. Even though diethyl ether has a greater molecular weight, it will have weaker intermolecular forces. The hydrogen bonding interactions in water will cause molecules to "stick," preventing them from converting to the gas phase and lowering the overall vapor pressure of water. Diethyl ether has a higher vapor pressure than water due to the intermolecular forces of the two compounds.

Example Question #731 : Mcat Physical Sciences

When a created solution is either exothermic or endothermic, the vapor pressure in the container will deviate from Raoult's law. As a result, the solution is considered non-ideal.

When a solute is added to a solvent, the vapor pressure of the solution is greater than the vapor pressure of either pure solute or pure solvent. Based on this, which statement is true?

Possible Answers:

The solution is considered ideal

The solution is exothermic

There is a positive enthalpy of solution

The intermolecular bonds in solution are stronger than the intermolecular bonds between the pure substances

Correct answer:

There is a positive enthalpy of solution

Explanation:

Raoult's law can be written as .

When the formation of a solution has a positive enthalpy, it is considered to be endothermic. An endothermic reaction will result in the solution's vapor pressure being higher than predicted by Raoult's law. This is because an endothermic reaction results in weaker intermolecular bonds, which increases the vapor pressure.

Example Question #6 : Vapor Pressure

A volatile solute with a vapor pressure of 80mmHg is added to a solvent with a vapor pressure of 120mmHg. Consider the resulting solution to be ideal in nature. The solution's vapor pressure is determined to be 93mmHg. What is the percentage of solute molecules found in the solution?

Possible Answers:

Correct answer:

Explanation:

A volatile solute will contribute to the vapor pressure found in the container. As a result, we have to use Raoult's law, which takes this solute's vapor pressure into consideration.

Raoult's law is written as , where P is the partial pressure for each component and X is the mole fraction of each component.

We must include the vapor pressures of both the solute and the solvent in order to find the percentage composition of the solute in the solution. Since there are only two compounds contributing to vapor pressure in the solution, we can designate the mole fraction of the solute as X and the mole fraction of the solvent as (1-X). Doing this, the equation can be filled in, as below.

 or 67.5% solute in the container.

Example Question #7 : Vapor Pressure

At room temperature, toluene has a vapor pressure of 300mmHg and ethanol has a vapor pressure of 45mmHg.

Let us assume that when equimolar amounts of these liquids are mixed together, heat is released. What can be said about the vapor pressure of the resulting solution?

Possible Answers:

The vapor pressure will be 345 mmHg because the vapor pressure values are additive

The vapor pressure will be 300 mmHg because toluene has the greater vapor pressure, which cancels out the vapor pressure of ethanol

The vapor pressure will be 172.5 mmHg because there are equal amounts of both liquids

The vapor pressure is less than 172.5 because the reaction is exothermic

Correct answer:

The vapor pressure is less than 172.5 because the reaction is exothermic

Explanation:

Since both liquids are volatile, they will both contribute to the solution's vapor pressure. Their impact will be based on their individual vapor pressures, as well as the molar fraction for which each liquid is responsible. This gives us Raoult's law:

Each  represents the liquid vapor pressure, and each  represents the corresponding molar fraction of that particular liquid. Since we have an equimolar mixture, each liquid accounts for 50% of the solution, or in this case 0.5.

This would result in a solution vapor pressure of 172.5 mmHg if conditions were ideal. However, since the reaction is exothermic, stronger bonds are formed in the solution, and the vapor pressure will be lower than expected.

Example Question #11 : Vapor Pressure

Colligative properties are properties of compounds that are altered by the amount of substance present. There are four main colligative properties: boiling point, freezing point, vapor pressure, and osmotic pressure. The change in each of these properties can be calculated using the amount of molecules/ions present in solution and the concentration or partial pressure of the compound. The boiling point is defined as the temperature at which the vapor pressure equals the atmospheric pressure. The freezing point is the temperature at which a liquid is converted to a solid. Vapor pressure is the pressure produced by the vapor above a solution. Osmotic pressure is the pressure required to prevent flow of water into a solution (across a membrane).  

Upon addition of salt, a researcher notices that there is an increase in the boiling point of the solution. Which of the following could be the reason for this observation?

Possible Answers:

The pressure above the solution is higher than the atmospheric pressure

The pressure above the solution is lower than the atmospheric pressure

The amount of particles escaping the solution is higher

The enthalpy of the solution increases

Correct answer:

The pressure above the solution is lower than the atmospheric pressure

Explanation:

The boiling point is defined as the temperature at which the vapor pressure above the solution equals the atmospheric pressure. Recall that vapor pressure is also a colligative property. The vapor pressure decreases as solutes are added. This means that more energy, in the form of heat, is required to increase the amount of molecules escaping the solution and, subsequently, increase the vapor pressure to that of the atmospheric pressure. This increased demand of energy results in an increased boiling point.

Example Question #12 : Vapor Pressure

Colligative properties are properties of compounds that are altered by the amount of substance present. There are four main colligative properties: boiling point, freezing point, vapor pressure, and osmotic pressure. The change in each of these properties can be calculated using the amount of molecules/ions present in solution and the concentration or partial pressure of the compound. The boiling point is defined as the temperature at which the vapor pressure equals the atmospheric pressure. The freezing point is the temperature at which a liquid is converted to a solid. Vapor pressure is the pressure produced by the vapor above a solution. Osmotic pressure is the pressure required to prevent flow of water into a solution (across a membrane).  

The vapor pressure above a solvent is . What is the change in vapor pressure if  of glucose is added to the solvent? Assume that there are  of water present.

Possible Answers:

Cannot be determined from the given information

Correct answer:

Cannot be determined from the given information

Explanation:

Vapor pressure change is calculated using the following equation.

where  is change in vapor pressure,  is mole fraction of solute, and  is vapor pressure above pure solvent. First, let’s calculate the mole fraction.

The vapor pressure of pure solvent is . Recall that there are  in ; therefore, the vapor pressure of pure solvent is . We can now solve for the change in vapor pressure.

This means that the vapor pressure decreased by  after the addition of glucose.

Note that vapor pressure also depends on the amount of ions.

where  the number of ions. Glucose does not dissolve into ions; therefore, . If we were given another molecule, such as , then we will have to set  and calculate  accordingly.

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