All GRE Subject Test: Chemistry Resources
Example Questions
Example Question #1 : Analyzing Reactions
Calculate the concentration of hydrogen ions in the following acetic acid solution.
To answer this question you need to use the Henderson-Hasselbalch equation:
The ratio given in the question is , or .
To use the correct ratio for the Henderson-Hasselbalch equation, we need to convert this ratio to its reciprocal:
Plugging the given values into the equation gives us:
The question is asking for the concentration of hydrogen ions. To solve for this we have to use the definition of pH.
Solving for the concentration of hydrogen ions gives us:
Example Question #1 : Henderson Hasselbalch Equation
Which of the following is true regarding the Henderson-Hasselbalch equation?
I. The pH of the solution is always greater than the pKa of the solution
II. As the ratio of conjugate base to acid increases, the pH increases
III. The hydrogen ion concentration can never equal the acid dissociation constant
I only
I and II
II only
II and III
II only
The Henderson-Hasselbalch equation is a tool that allows us to calculate the pH of an acid solution using the pKa of the acid and the relative concentrations of the acid and its conjugate base. It is defined as:
By looking at the equation we can determine that if the ratio inside the logarithm is greater than 1, then the pH of the solution will be greater than the pKa; however, if the ratio is less than 1 (meaning, if the concentration of the acid is greater than the concentration of conjugate base), then the pH will be less than the pKa. Statement I is false.
Increasing the ratio of to will increase the logarithm, and subsequently the pH of the solution. This makes sense because you will have more conjugate base than acid, thereby making the solution more alkaline and increasing the pH. Statement II is true.
pH and pKa are defined as follows:
If we have the same concentration of hydrogen ions as the acid dissociation constant (), then the pH will equal the pKa. According to the Henderson-Hasselbalch equation, the pH equals the pKa if the concentration of the conjugate base equals the concentration of acid; therefore, it is possible for the hydrogen ion concentration to equal the acid dissociation constant. Statement III is false.
Example Question #1 : Henderson Hasselbalch Equation
A researcher prepares two solutions. Solution A contains an unknown acid, HA, and solution B contains an unknown acid, HB. The researcher performs several tests and collects the following data.
1. Both solutions contain weak acids
2.
3.
4.
5.
What can you conclude about these two solutions?
Acid HB is more acidic than acid HA
The acids, HA and HB, are identical
The acid dissociation constant for HA is greater than that of HB
The hydrogen ion concentration of solution A is greater than that of solution B
The acids, HA and HB, are identical
The Henderson-Hasselbalch equation states that:
The question gives us information regarding the ratio of conjugate base to acid AND the pH for each acidic solution. Using this information, we can solve for the pKa values of both solutions.
The pKa values of both solutions are the same. This means that both solution contains the same acid; therefore, the identity of HA is the same as the identity of HB.
The hydrogen ion concentration of solution A is lower than that of solution B because the pH of solution A is greater. Acidity, or strength, of an acid is determined by the pKa. Since we have the same pKa for both acids, HA and HB will have the same acidity. Acid dissociation constant, Ka, is defined as:
Acid dissociation constant only depends on the pKa; therefore, the Ka for both acids is the same.
Example Question #1 : Acid Base Analysis
47.0g of nitrous acid, HNO2, is added to 4L of water. What is the resulting pH?
3.0
3.2
2.5
3.5
2.0
2.0
HNO2 is a weak acid; it will not fully dissociate, so we need to use the HA → H+ + A– reaction, with .
47.0g HNO2 is equal to 1mol. 1mol into 4L gives a concentration of 0.25M when the acid is first dissolved; however, we want the pH at equilibrium, not at the initial state. As the acid dissolves, we know [HNO2] will decrease to become ions, but we don't know by how much so we indicate the decrease as "x". As HNO2 dissolves by a factor of x, the ion concentrations will increase by x.
HNO2 → H+ + NO2–
Initial 0.25M 0 0
Equilibrium 0.25 – x x x
Now, we can fill in our equation: .
Since x is very small, we can ignore it in the denominator:
(they expect you to do this on the MCAT; you will never have to solve with x in the denominator on the exam!)
Solve for x, and you find . Looking at our table, we know that
Now we can solve for pH:
Example Question #1 : Acid Base Analysis
What is the of a 0.12M solution of that has a pH of 5.1?
We can calculate the hydrogen ion concentration by using the following equation:
Plug in the given value for pH and solve:
Example Question #291 : Gre Subject Test: Chemistry
Based on the equilibrium above, what does act as?
radical
a base
an acid
an anion
a catalyst
an acid
An acid is a substance that can donates a proton. The conjugate acid of a base is formed when the base accepts a proton. In this case, is the conjugate acid to the base . This is because accepts a hydrogen ion from the water molecule to form , the conjugate acid.
Example Question #292 : Gre Subject Test: Chemistry
Given the following equilibria, what is the hydroxide ion concentration of a solution containing ?
The for is
Below is the acid-base equilibria of in an aqueous solution:
A solution of ammonia () is basic based on the chemical equation given. The for this reaction is:
Based on the chemical equation, .
We can make the concentration of these species equal to :
The concentration is equal to:
has a low so we can assume the following:
Plugging the values into the base dissociation constant equation gives:
Solve for :
Example Question #32 : Analytical Chemistry
Given the following equilibria, what is the hydrogen ion concentration of a solution containing (benzoic acid)?
The for is .
Below is the acid-base equilibria of in an aqueous solution:
A solution of benzoic acid () is acidic based on the chemical equation given. The for this reaction is:
Based on the chemical equation, .
We can make the concentration of these species equal to :
The concentration is equal to:
has a low so we can assume the following:
Plugging the values into the base dissociation constant equation gives:
Solve for :
Example Question #292 : Gre Subject Test: Chemistry
Given the following equilibria, what is the hydronium ion concentration of a solution containing ?
The for is .
Below is the acid-base equilibria of in an aqueous solution:
A solution of is acidic based on the chemical equation given. The Ka for this reaction is:
Based on the chemical equation, .
We can make the concentration of these species equal to :
The concentration is equal to:
has a low so we can assume the following:
Plugging the values into the base dissociation constant equation gives:
Solve for :
Example Question #291 : Gre Subject Test: Chemistry
Which molecule would be considered a Lewis acid?
A lewis acid is an electron pair acceptor. would be considered a lewis acid based on the definition. Because is electron-deficient based on its oxidation number, it is able to accept an electron pair.