MCAT Physical : Boiling Point

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Example Questions

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Example Question #6 : Physical Chemistry

Two moles of sodium chloride (NaCl) are added to 1kg of a mystery solvent. The addition of the NaCl caused an increase of 6K to the solvent's boiling point.

Based on this information, what is the boiling constant for the solvent?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we can use the boiling point elevation equation: .

We know the temperature change, we can compute molality from the given information, and we know the van't Hoff factor (expected to be 2 in this scenario due to NaCl becoming 2 ions in solution). We can calculate the boiling point constant for the solvent.

 

Example Question #41 : Solution Chemistry

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).  

Which of the following is true regarding the boiling point of a sodium chloride solution and calcium chloride solution?

Possible Answers:

The boiling point of sodium chloride solution will be higher

The boiling point of both solutions will be equal

The boiling point of calcium chloride solution will be higher

The relative boiling points cannot be determined because the concentration is not given

Correct answer:

The relative boiling points cannot be determined because the concentration is not given

Explanation:

Recall that the boiling point of a solution depends on the number of ions in the solution and the concentration of the solution. Increase in both of these factors will elevate the boiling point to higher temperatures. The equation describing this is given below.

where  is change in boiling point,  is the boiling point elevation constant,  is the number of ions, and  is the molality. Sodium chloride, or , will produce two ions in solution whereas calcium chloride, or , will produce three ions. If the concentrations were the same, the calcium chloride solution would have a higher boiling point; however, since we are not given the concentration we cannot determine the relative boiling points of the solution.

Example Question #11 : Colligative Properties

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).

How does the boiling point of a solution change after adding  potassium bromide? The solution has a density of  and .

Possible Answers:

Increases by 

Increases by 

Decreases by 

Decreases by 

Correct answer:

Increases by 

Explanation:

Recall that adding solutes to a solution increases the boiling point. This phenomenon is called the boiling point elevation. Knowing this information, we can eliminate two choices immediately. The equation to calculate the boiling point elevation is as follows.

where  is change in boiling point,  is the boiling point elevation constant,  is the number of ions, and  is the molality. The question gives us the concentration in molarity; therefore, we need to convert the concentration to molality.

Molarity = 

Molality = 

We need to find the mass of solvent in kilograms. The molarity is ; therefore, let’s assume we have  of solute and  of solution. The density of the solution is  or . We can calculate the mass of the total solution using density.

mass of total solution = 

We need the mass of the solvent only. To find this, we need to first calculate the mass of solute. The MW of potassium bromide is  (this can be calculated by obtaining values from the periodic table). We have  of solute; therefore, the mass of solute is

This means that the mass of solvent is equal to:

mass of solvent = total mass of solution - mass of solute =  = 

Molality of solution is

, or the number of ions, for  is 2 (because  will produce two ions in solution). Now we have all the information to calculate the boiling point elevation.

Therefore, boiling point increases by .

 

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