Reactions and Titrations

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MCAT Physical › Reactions and Titrations

Questions 1 - 10
1

What is the pKa of acetic acid? (Ka = 1.8 * 10–5)

4.7

4.2

5.3

2.1

8.6

Explanation

We know that pKa is equal to –log(Ka). Thus, pKa of acetic acid is –log(1.8 * 10–5). This is not an easy problem to solve in your head, but there is a trick.

We know that 1 * 10–4 > 1.8 * 10–5 > 1 * 10–5, and we know that –log(1 * 10–4) = 4 and –log(1 * 10–5) = 5. Now we can conclude that our pKa is somewhere between 4 and 5.

Two answer choices fall in this range: 4.2 and 4.7.

1.8 * 10–5 is closer to 1 * 10–5 than it is to 1 * 10–4, so we can pick the answer closer to 5 than to 4 : 4.7.

2

Which of the following is true regarding an acid and its pKa?

I. One can increase the strength of an acid by decreasing its pKa value

II. pKa increases as the acid dissociation constant decreases

III. pKa of an acid cannot be changed by altering the concentration of the acid

II and III

I and II

I and III

I, II, and III

Explanation

Recall that pKa is defined as follows:

Here, is the acid dissociation constant. is a measure of the equilibrium strength of an acid and is unique for each acid. The higher the value of , the stronger the acid; however, a particular acid’s value, and subsequently its strength, can never be changed. The only way you can change the of an acid is by changing the identity of the acid itself. This means that the pKa value of an acid is also always constant; therefore, you cannot decrease an acid’s pKa.

Using the definition of pKa, we can see that the pKa of an acid increases as you decrease the acid dissociation constant (). A strong acid will have a high and a low pKa.

The pKa of an acid can never be altered; therefore, changing the concentration of the acid will not alter the pKa of the acid. It might change the amount of hydrogen ions produced and alter the pH; however, the pKa of the acid will stay constant.

3

What is the pKa of acetic acid? (Ka = 1.8 * 10–5)

4.7

4.2

5.3

2.1

8.6

Explanation

We know that pKa is equal to –log(Ka). Thus, pKa of acetic acid is –log(1.8 * 10–5). This is not an easy problem to solve in your head, but there is a trick.

We know that 1 * 10–4 > 1.8 * 10–5 > 1 * 10–5, and we know that –log(1 * 10–4) = 4 and –log(1 * 10–5) = 5. Now we can conclude that our pKa is somewhere between 4 and 5.

Two answer choices fall in this range: 4.2 and 4.7.

1.8 * 10–5 is closer to 1 * 10–5 than it is to 1 * 10–4, so we can pick the answer closer to 5 than to 4 : 4.7.

4

Which of the following is true regarding an acid and its pKa?

I. One can increase the strength of an acid by decreasing its pKa value

II. pKa increases as the acid dissociation constant decreases

III. pKa of an acid cannot be changed by altering the concentration of the acid

II and III

I and II

I and III

I, II, and III

Explanation

Recall that pKa is defined as follows:

Here, is the acid dissociation constant. is a measure of the equilibrium strength of an acid and is unique for each acid. The higher the value of , the stronger the acid; however, a particular acid’s value, and subsequently its strength, can never be changed. The only way you can change the of an acid is by changing the identity of the acid itself. This means that the pKa value of an acid is also always constant; therefore, you cannot decrease an acid’s pKa.

Using the definition of pKa, we can see that the pKa of an acid increases as you decrease the acid dissociation constant (). A strong acid will have a high and a low pKa.

The pKa of an acid can never be altered; therefore, changing the concentration of the acid will not alter the pKa of the acid. It might change the amount of hydrogen ions produced and alter the pH; however, the pKa of the acid will stay constant.

5

What is the pH of a solution which has a hydroxide ion concentration of 5 * 10-4M?

Explanation

First convert concentration of OH- into concentration of H+. Remember that Kw is 1*10-14.

Then, convert concentration of H+ into pH.

Alternatively, you can use the hydroxide concentration to solve for pOH and convert to pH.

6

What is the pH of a solution which has a hydroxide ion concentration of 5 * 10-4M?

Explanation

First convert concentration of OH- into concentration of H+. Remember that Kw is 1*10-14.

Then, convert concentration of H+ into pH.

Alternatively, you can use the hydroxide concentration to solve for pOH and convert to pH.

7

__________ the pH of an acidic solution will __________ the pKa of the acid.

Decreasing . . . not change

Increasing . . . increase

Increasing . . . decrease

Decreasing . . . increase

Explanation

The acidity of the solution results from the amount of hydrogen ions present in the solution. We can increase or decrease the pH of the solution by decreasing or increasing the amount of hydrogen ions present, respectively. pKa is a measure of the strength of an acid (meaning how easily it can dissociate into hydrogen ions and its conjugate base). Altering the pH of the solution will have no effect on the strength, and subsequently pKa, of the acid.

8

What volume of 0.375M H2SO4 is needed to fully neutralize 0.5L of 0.125M NaOH?

83.3mL

1.5L

167mL

41.7mL

0.5L

Explanation

This question requires use of the simple titration equation M1V1 = M2V2. The key is to identify that sulfuric acid has two equivalents of acidic hydrogens while NaOH has only one hydroxide equivalent. All wrong answer choices result from making this mistake or other calculation errors.

9

__________ the pH of an acidic solution will __________ the pKa of the acid.

Decreasing . . . not change

Increasing . . . increase

Increasing . . . decrease

Decreasing . . . increase

Explanation

The acidity of the solution results from the amount of hydrogen ions present in the solution. We can increase or decrease the pH of the solution by decreasing or increasing the amount of hydrogen ions present, respectively. pKa is a measure of the strength of an acid (meaning how easily it can dissociate into hydrogen ions and its conjugate base). Altering the pH of the solution will have no effect on the strength, and subsequently pKa, of the acid.

10

What volume of 0.375M H2SO4 is needed to fully neutralize 0.5L of 0.125M NaOH?

83.3mL

1.5L

167mL

41.7mL

0.5L

Explanation

This question requires use of the simple titration equation M1V1 = M2V2. The key is to identify that sulfuric acid has two equivalents of acidic hydrogens while NaOH has only one hydroxide equivalent. All wrong answer choices result from making this mistake or other calculation errors.

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