GRE Subject Test: Chemistry : GRE Subject Test: Chemistry

Study concepts, example questions & explanations for GRE Subject Test: Chemistry

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Example Questions

Example Question #1 : Analyzing Reactions

Calculate the concentration of hydrogen ions in the following acetic acid solution. 

    

Possible Answers:

Correct answer:

Explanation:

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

Possible Answers:

I only

I and II

II only

II and III

Correct answer:

II only

Explanation:

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? 

Possible Answers:

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

Correct answer:

The acids, HA and HB, are identical

Explanation:

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? \dpi{100} \small \left (K_{a}=4.1\times 10^{-4} \right )

Possible Answers:

3.0

3.2

2.5

3.5

2.0

Correct answer:

2.0

Explanation:

HNO2 is a weak acid; it will not fully dissociate, so we need to use the HA → H+ A reaction, with \dpi{100} \small K_{a}=\frac{\left [ products \right ]}{\left [ reactants \right ]}=\left \frac{\left [ H^{+} \right ]\left [ A^{-} \right ]}{\left [ HA \right ]}=4.1\times 10^{-4}.

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: \dpi{100} \small K_{a}=\left \frac{\left [ H^{+} \right ]\left [ A^{-} \right ]}{\left [ HA \right ]}=\frac{\left ( x \right )\left ( x \right )}{0.25-x}.

Since x is very small, we can ignore it in the denominator: \dpi{100} \small K_{a}=\left \frac{\left ( x \right )\left ( x \right )}{\left (0.25 \right )}=4.1\times 10^{-4}

(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 \dpi{100} \small x=\left [ H^{+} \right ]

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?

Possible Answers:

Correct answer:

Explanation:

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

Screen shot 2015 10 06 at 10.19.55 pm

Based on the equilibrium above, what does  act as? 

Possible Answers:

radical

a base

an acid

an anion

a catalyst

Correct answer:

an acid

Explanation:

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 

Possible Answers:

Correct answer:

Explanation:

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 .

Possible Answers:

Correct answer:

Explanation:

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 .

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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.

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