IB DP Chemistry Topic 8.3 The pH scales SL Paper 1

Question

An example of a strong acid solution is perchloric acid, \({\text{HCl}}{{\text{O}}_{\text{4}}}\), in water. Which statement is correct for this solution?

A.     \({\text{HCl}}{{\text{O}}_{\text{4}}}\) is completely dissociated in the solution.

B.     \({\text{HCl}}{{\text{O}}_{\text{4}}}\) exists mainly as molecules in the solution.

C.     The solution reacts only with strong bases.

D.     The solution has a pH value greater than 7.

▶️Answer/Explanation

A

Strong acid releases H+ in water and is completely dissociated in the solution.

\({\text{HCl}}{{\text{O}}_{\text{4}}}\) will form H+ and ClO4 ions.

Strong acids can react with weak bases also. 

The solution would be acidic and have a pH value less than 7.

Question

The pH of a solution changes from \({\text{pH}} = 2\) to \({\text{pH}} = 5\). What happens to the concentration of the hydrogen ions during this pH change?

A.     It decreases by a factor of 1000

B.     It increases by a factor of 1000

C.     It decreases by a factor of 100

D.     It increases by a factor of 100

▶️Answer/Explanation

A

[H+] = 10-pH .

Initially, [H+] = 10-2 .

Finally, [H+] = 10-5 .

Thus concentration decreases by a factor of 1000.

Question

What is the pH of the solution formed when \({\text{10 c}}{{\text{m}}^{\text{3}}}\) of HCl(aq) with pH 1.0 is added to \({\text{990 c}}{{\text{m}}^{\text{3}}}\) of water?

A.     1.5

B.     2.0

C.     2.5

D.     3.0

▶️Answer/Explanation

D

\({\text{10 c}}{{\text{m}}^{\text{3}}}\) of HCl(aq) with pH 1.0 has 10-1 mol/l H+ ions. i.e. (10-1)(0.01ltr) = 10-3 moles H+ ions.

Total volume after adding water = \({\text{1000 c}}{{\text{m}}^{\text{3}}}\) = 1 ltr

Final concentration of H+ ions = 10-3 moles per ltr 

pH = -Log[H+]

pH = 3 

Question

Three aqueous solutions of nitric acid are listed below.

W.     \({\text{0.100 mol}}\,{\text{d}}{{\text{m}}^{ – 3}}{\text{ HN}}{{\text{O}}_{\text{3}}}{\text{(aq)}}\)

X.     \({\text{0.001 mol}}\,{\text{d}}{{\text{m}}^{ – 3}}{\text{ HN}}{{\text{O}}_{\text{3}}}{\text{(aq)}}\)

Y.     \({\text{0.010 mol}}\,{\text{d}}{{\text{m}}^{ – 3}}{\text{ HN}}{{\text{O}}_{\text{3}}}{\text{(aq)}}\)

What is the correct order of increasing pH of these solutions?

A.     \({\text{W}} < {\text{X}} < {\text{Y}}\)

B.     \({\text{W}} < {\text{Y}} < {\text{X}}\)

C.     \({\text{X}} < {\text{W}} < {\text{Y}}\)

D.     \({\text{X}} < {\text{Y}} < {\text{W}}\)

▶️Answer/Explanation

B

pH = -Log[H+

As [H+]  decreases, pH increases. 

Order of [H+] : \({\text{W}} > {\text{Y}} > {\text{X}}\)

Hence, correct order of increasing pH of these solutions: \({\text{W}} < {\text{Y}} < {\text{X}}\)

Question

A solution of acid HX has a pH = 1 and a solution of acid HY has a pH = 3. Which statement must be correct?

A.     HX is a stronger base than HY.

B.     HY is a stronger acid than HX.

C.     The \({\text{[}}{{\text{H}}^ + }{\text{]}}\) in the solution of HX is 100 times greater than the \({\text{[}}{{\text{H}}^ + }{\text{]}}\) in the solution of HY.

D.     The \({\text{[}}{{\text{H}}^ + }{\text{]}}\) in the solution of HY is 100 times greater than the \({\text{[}}{{\text{H}}^ + }{\text{]}}\) in the solution of HX.

▶️Answer/Explanation

C

pH = -Log[H+

As [H+]  decreases, pH increases. 

[H+] in HX = 10-1 mol/l

[H+] in HY = 10-3 mol/l

[H+] in HX is 100 times greater than HY.

Lower the pH, more is the [H+], stronger the acid. 

Hence, HX is stronger acid than HY.

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