pH - AP Chemistry
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A scientist makes a solution by adding 0.2 grams of
to enough water so that the resulting solution has a volume of 10 liters. What, approximately, is the pH of this solution?
A scientist makes a solution by adding 0.2 grams of to enough water so that the resulting solution has a volume of 10 liters. What, approximately, is the pH of this solution?
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has a molar mass of approximately 40 g/mol, meaning that there is 0.01 mol of it in the solution. Sodium hydroxide is a strong base and completely dissociates in water. Its concentration in the solution is
. This means that the concentration of
ions is
and
. Thus, the pH of the solution is 11.
has a molar mass of approximately 40 g/mol, meaning that there is 0.01 mol of it in the solution. Sodium hydroxide is a strong base and completely dissociates in water. Its concentration in the solution is
. This means that the concentration of
ions is
and
. Thus, the pH of the solution is 11.
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Which of the following techniques will decrease the pH of a solution?
Which of the following techniques will decrease the pH of a solution?
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Increasing the concentration of protons of a solution will make the solution more acidic; therefore, it lowers the solution’s pH. Decreasing the concentration of protons will make the solution more basic, raising the pH. Adding more acid of the same molarity of the original solution will not increase the concentration of protons and will not increase acidity or lower the pH. Increasing the amount of hydroxide ions will make the solution more basic and raise the pH. Increasing the amount of solvent will lower the concentration, affecting molarity and not lowering the pH.
Increasing the concentration of protons of a solution will make the solution more acidic; therefore, it lowers the solution’s pH. Decreasing the concentration of protons will make the solution more basic, raising the pH. Adding more acid of the same molarity of the original solution will not increase the concentration of protons and will not increase acidity or lower the pH. Increasing the amount of hydroxide ions will make the solution more basic and raise the pH. Increasing the amount of solvent will lower the concentration, affecting molarity and not lowering the pH.
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Determine the pH of a solution that is
.
Determine the pH of a solution that is .
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Since
is a strong acid, the concentration of
is equal to the concentration of the acid itself.
Thus,
.
Recall how to find the pH of a solution:
![\text{pH}=-\log([H_3O^+])](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/668814/gif.latex)
Plug in the given hydronium ion concentration to find the pH of the given solution.

Remember to maintain the correct number of significant figures.
Since is a strong acid, the concentration of
is equal to the concentration of the acid itself.
Thus, .
Recall how to find the pH of a solution:
Plug in the given hydronium ion concentration to find the pH of the given solution.
Remember to maintain the correct number of significant figures.
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Find the pH for a solution that is
by mass. Assume a density of
for the solution.
Find the pH for a solution that is
by mass. Assume a density of
for the solution.
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Start by assuming that there is
liter of the solution. From this, we can use the given density to find the mass of the solution.

Next, find the mass of
that is present in the solution.

Now, find the number of moles of
that is present in the solution.

Since we initially assumed that we had
liter of the solution, we now also know the concentration of
in this solution.
![[\text{HBr}]=0.06491M](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/668764/gif.latex)
Since
is a strong acid, the concentration of hydronium ions in the solution will be the same as the concentration of
.
![[\text{HBr}]=[H_3O^+]=0.06491M](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/668767/gif.latex)
Recall how to find the pH of a solution.
![\text{pH}=-\log([H_3O^+])](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/668768/gif.latex)

Start by assuming that there is liter of the solution. From this, we can use the given density to find the mass of the solution.
Next, find the mass of that is present in the solution.
Now, find the number of moles of that is present in the solution.
Since we initially assumed that we had liter of the solution, we now also know the concentration of
in this solution.
Since is a strong acid, the concentration of hydronium ions in the solution will be the same as the concentration of
.
Recall how to find the pH of a solution.
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Find the pH of a solution that is
by mass. Assume a density of
for the solution.
Find the pH of a solution that is by mass. Assume a density of
for the solution.
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Start by assuming that there is
liter of the solution. From this, we can use the given density to find the mass of the solution.

Next, find the mass of
that is present in the solution.

Now, find the number of moles of
that is present in the solution.

Since we initially assumed that we had
liter of the solution, we now also know the concentration of
in this solution.
![[\text{HI}]=0.3995M](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/668687/gif.latex)
Since
is a strong acid, the concentration of hydronium ions in the solution will be the same as the concentration of
.
![[\text{HI}]=[H_3O^+]=0.3995M](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/668690/gif.latex)
Recall how to find the pH of a solution.
![\text{pH}=-\log([H_3O^+])](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/668691/gif.latex)

Start by assuming that there is liter of the solution. From this, we can use the given density to find the mass of the solution.
Next, find the mass of that is present in the solution.
Now, find the number of moles of that is present in the solution.
Since we initially assumed that we had liter of the solution, we now also know the concentration of
in this solution.
Since is a strong acid, the concentration of hydronium ions in the solution will be the same as the concentration of
.
Recall how to find the pH of a solution.
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What is the pH of a solution that has \[OH-\] 1 X 10–4 M?
What is the pH of a solution that has \[OH-\] 1 X 10–4 M?
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pOH would be 4 (use –log \[OH–\]) and pH would be 14–pOH = 14 – 4 = 10
pOH would be 4 (use –log \[OH–\]) and pH would be 14–pOH = 14 – 4 = 10
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What is the pH of a solution with \[OH-\] = 4 X 10-6
What is the pH of a solution with \[OH-\] = 4 X 10-6
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\[OH-\] = 4 X 10-6
pOH = 5.4 — use –log \[OH–\] to find pOH
pH = 14– pOH = 8.6
\[OH-\] = 4 X 10-6
pOH = 5.4 — use –log \[OH–\] to find pOH
pH = 14– pOH = 8.6
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What is the pH of a soution containing .0001 M HCl?
What is the pH of a soution containing .0001 M HCl?
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The pH of a solution is determined by taking the negative log of the concentration of hydrogen ions in solution. HCl is strong acid so it completely dissociates in solution. So adding .0001 M HCl is the same as saying that 1 *10-4 moles of H+ ions have been added to solution. The -log\[.0001\] =4, so the pH of the solution =4.
The pH of a solution is determined by taking the negative log of the concentration of hydrogen ions in solution. HCl is strong acid so it completely dissociates in solution. So adding .0001 M HCl is the same as saying that 1 *10-4 moles of H+ ions have been added to solution. The -log\[.0001\] =4, so the pH of the solution =4.
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What is the pOH of a solution that has a \[H+\] = 3.2 X 10-7 mol?
What is the pOH of a solution that has a \[H+\] = 3.2 X 10-7 mol?
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\[H+\] = 3.2 X 10-7 mol
pH = -log \[H+\]
= 7 - log 3.2
= 7 -.505
=6.495
pOH = 14 - pH
= 7.5
\[H+\] = 3.2 X 10-7 mol
pH = -log \[H+\]
= 7 - log 3.2
= 7 -.505
=6.495
pOH = 14 - pH
= 7.5
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Which of the following solutions contains the greatest number of H+ ions?
Which of the following solutions contains the greatest number of H+ ions?
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This question asks for the solution with the greatest number H+ ions, we can also approach this problem as if we are looking for the solution with the lowest pH. HCl is strong acid, therefore it will dissociate completely in solution. So the solution containing 0.010 mL of HCL contains 0.010 mL of H+ ions in solution, in addition to the H+ ions that are already in solution due to the auto-ionization of water. The only other solution that could have a pH less than 7 would be the one with 0.010 mL of CH3OH in excess water, becasue CH3OH is very slightly acidic. But since it is compared with an equal volume of HCl which is strong acid, it can be said that the most H+ ions will be found in the solution containing a small amount of strong acid, HCl.
This question asks for the solution with the greatest number H+ ions, we can also approach this problem as if we are looking for the solution with the lowest pH. HCl is strong acid, therefore it will dissociate completely in solution. So the solution containing 0.010 mL of HCL contains 0.010 mL of H+ ions in solution, in addition to the H+ ions that are already in solution due to the auto-ionization of water. The only other solution that could have a pH less than 7 would be the one with 0.010 mL of CH3OH in excess water, becasue CH3OH is very slightly acidic. But since it is compared with an equal volume of HCl which is strong acid, it can be said that the most H+ ions will be found in the solution containing a small amount of strong acid, HCl.
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What is the approximate pH of a 1.0 M solution of soluble CaCO3?
What is the approximate pH of a 1.0 M solution of soluble CaCO3?
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Calcium carbonate is a base since it's the salt of a strong base (NaOH) and a weak acid (carbonic acid). The only basic pH on the list is 8, making it the correct answer.
Calcium carbonate is a base since it's the salt of a strong base (NaOH) and a weak acid (carbonic acid). The only basic pH on the list is 8, making it the correct answer.
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What is the pH of a 1 * 10–3M solution of H2CO3 acid? (pKa is 6.4)
What is the pH of a 1 * 10–3M solution of H2CO3 acid? (pKa is 6.4)
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The –log of the pKa will give you the Ka, so take the –log (6.4), which gives you approximately 4 * 10–7. The Ka expression is set up with products over reactants (hydrogen carbonate ion * hydrogen ion/carbonic acid). The undissociated carbonic acid is 0.001M, and you should use the variable 'x' to account for how much it dissociates and how many of the ions are produced. Ka = 4 * 10–7 = x2/0.001 ends up being your Ka expression, if you assume x is negligible compared to the original concentration of 0.001. Solving for x, you get 2 * 10–5. This is the hydrogen ion concentration. pH = –log (hydrogen ion concentration), so pH = –long(2 * 10–5), which is approximately 4.7.
The –log of the pKa will give you the Ka, so take the –log (6.4), which gives you approximately 4 * 10–7. The Ka expression is set up with products over reactants (hydrogen carbonate ion * hydrogen ion/carbonic acid). The undissociated carbonic acid is 0.001M, and you should use the variable 'x' to account for how much it dissociates and how many of the ions are produced. Ka = 4 * 10–7 = x2/0.001 ends up being your Ka expression, if you assume x is negligible compared to the original concentration of 0.001. Solving for x, you get 2 * 10–5. This is the hydrogen ion concentration. pH = –log (hydrogen ion concentration), so pH = –long(2 * 10–5), which is approximately 4.7.
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If the Ksp of Mg(OH)2 is 1.2 * 10–11 and the magnesium ion concentration is 1.2 * 10–5M, at what pH does the Mg(OH)2 compound begin to precipitate?
If the Ksp of Mg(OH)2 is 1.2 * 10–11 and the magnesium ion concentration is 1.2 * 10–5M, at what pH does the Mg(OH)2 compound begin to precipitate?
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The expression for Ksp is Ksp = \[Mg2+\]\[OH–\]2.
Thus, \[OH–\] = √(1.2 * 10–11)/(1.2 * 10–5)
\[OH–\] = 1 * 10–3
Thus, pH = –log(1 X 10–3) = 3
pH = 14 – 3 = 11
The expression for Ksp is Ksp = \[Mg2+\]\[OH–\]2.
Thus, \[OH–\] = √(1.2 * 10–11)/(1.2 * 10–5)
\[OH–\] = 1 * 10–3
Thus, pH = –log(1 X 10–3) = 3
pH = 14 – 3 = 11
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What is the range of possible hydrogen ion concentrations in acidic solution?
What is the range of possible hydrogen ion concentrations in acidic solution?
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For a solution to be acidic, it must have a pH between 1 and 6.99, since 7 is neutral; pH is –log(hydrogen ion concentration), the range of possible values is between 10–1 and 10–6.999.
For a solution to be acidic, it must have a pH between 1 and 6.99, since 7 is neutral; pH is –log(hydrogen ion concentration), the range of possible values is between 10–1 and 10–6.999.
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What is the range of possible hydrogen ion concentrations in basic solution?
What is the range of possible hydrogen ion concentrations in basic solution?
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For a solution to be basic, it must have a pH between 8 and 14, since 7 is neutral; pH is –log(hydrogen ion concentration); the range of possible values is between 10–13 and 10–7.001.
For a solution to be basic, it must have a pH between 8 and 14, since 7 is neutral; pH is –log(hydrogen ion concentration); the range of possible values is between 10–13 and 10–7.001.
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What is the pH of a 0.05M solution of hydroflouric acid?
What is the pH of a 0.05M solution of hydroflouric acid?
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The Ka = \[H+\]\[F–\]/\[HF\]. The beginning concentration of HF is given as 0.05, and we can use x as the variable that accounts for how much of the HF is lost, along with how much of the H+ and F– are formed.
Thus, Ka = _x_2/.05 if you use the approximation that x is negligible compared to the starting concentration of HF.
Solving for x, x = 1 * 10–3. This is the H+ ion concentration.
pH = –log(H+) = –log(1.0 * 10–3)) = 3
The Ka = \[H+\]\[F–\]/\[HF\]. The beginning concentration of HF is given as 0.05, and we can use x as the variable that accounts for how much of the HF is lost, along with how much of the H+ and F– are formed.
Thus, Ka = _x_2/.05 if you use the approximation that x is negligible compared to the starting concentration of HF.
Solving for x, x = 1 * 10–3. This is the H+ ion concentration.
pH = –log(H+) = –log(1.0 * 10–3)) = 3
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Which of the following will produce the solution with the lowest pH?
Which of the following will produce the solution with the lowest pH?
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NaOH is a base, so that won't produce an acidic solution. Of the remaining acids, HCl and HI are strong acids, and HF is weak. HI is at a higher molarity, so it will produce the most acidic solution.
NaOH is a base, so that won't produce an acidic solution. Of the remaining acids, HCl and HI are strong acids, and HF is weak. HI is at a higher molarity, so it will produce the most acidic solution.
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A chemist adds 625g of solid
to 500mL of 16M
. What is the pH of the solution after it reaches equilibrium?
A chemist adds 625g of solid to 500mL of 16M
. What is the pH of the solution after it reaches equilibrium?
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Consider the reaction of
and
:

Now we will calculate the moles of
in the solution prior to adding base.

We will then calculate the amount of moles of
that react with the base.

We will then calculate the remaining moles of
:

We will then calculate the new concentration of sulfuric acid:

Sulfuric acid is a diprotic acid, so the hydrogen ion concentration is 0.76 M.
![pH=-log[H^{+}]=-log(0.76)=0.12](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/20061/gif.latex)
Consider the reaction of and
:
Now we will calculate the moles of in the solution prior to adding base.
We will then calculate the amount of moles of that react with the base.
We will then calculate the remaining moles of :
We will then calculate the new concentration of sulfuric acid:
Sulfuric acid is a diprotic acid, so the hydrogen ion concentration is 0.76 M.
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A chemist adds
to
mL of water. What is the pH of the solution?
A chemist adds to
mL of water. What is the pH of the solution?
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First, we will calculate
as follows:

Now we will calculate the pOH:
![pOH=-log[OH^-]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/21616/gif.latex)
In solution
, so
.
![pOH=-log[1.497\times 10^{-1}]=8.248\times 10^{-1}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/21619/gif.latex)

First, we will calculate as follows:
Now we will calculate the pOH:
In solution , so
.
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A chemist boils off the water from 627 mL of a solution with a pH of 10.2. The only dissolved compound in the solution is
. How much solid remains?
A chemist boils off the water from 627 mL of a solution with a pH of 10.2. The only dissolved compound in the solution is . How much solid remains?
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The pH of the solution is 10.2, and we know:


![pOH=-log[OH^-]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/21966/gif.latex)
![3.8=-log[OH^-]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/21967/gif.latex)
![-3.8=log[OH^-]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/21968/gif.latex)
![[OH^-]=10^{-3.8}=1.58\times 10^{-4}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/21969/gif.latex)
And since
,
.

The pH of the solution is 10.2, and we know:
And since ,
.
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