IB DP Chemistry Topic 8.3 The pH scales HL Paper 1

Question

Which solution has a pH of 9?

A 1000 × 10^-^9 mol dm-3 HCl (aq)

B 1.0 × 10^-^5 mol dm-3 KOH (aq)

C 1.0 × 10^-^9 mol dm-3 KOH (aq)

D 1.0 × 10^-^5 mol dm-3 HCl (aq)

▶️Answer/Explanation

Ans: B

pH = -Log[H+

pOH=-Log[OH

pH + pOH = 14 

In B, pOH = 5 

Therefore, pH =9. 

Question

What is the correct expression for the ionic product constant of water, \({K_{\text{w}}}\)?

A.     \({K_{\text{W}}} = \frac{{{\text{[}}{{\text{H}}^ + }{\text{]}}}}{{{\text{[O}}{{\text{H}}^ – }{\text{]}}}}\)

B.     \({K_{\text{W}}}{\text{ = }}\frac{{{\text{[}}{{\text{H}}_2}{\text{O]}}}}{{{\text{[}}{{\text{H}}^ + }{\text{][O}}{{\text{H}}^ – }{\text{]}}}}\)

C.     \({K_{\text{W}}} = {\text{[}}{{\text{H}}^ + }{\text{]}} + {\text{[O}}{{\text{H}}^ – }{\text{]}}\)

D.     \({K_{\text{W}}} = {\text{[}}{{\text{H}}^ + }{\text{][O}}{{\text{H}}^ – }{\text{]}}\)

▶️Answer/Explanation

D

Ionic product constant of water, \({K_{\text{W}}} = {\text{[}}{{\text{H}}^ + }{\text{][O}}{{\text{H}}^ – }{\text{]}}\).

Question

What is the pH of 1.0 × 10−3 mol dm−3 sodium hydroxide, NaOH(aq)?

Kw = 1.0 × 10−14

A.     3

B.     4

C.     10

D.     11

▶️Answer/Explanation

D

pH + pOH = 14

1 dm−3 = 1 ltr

Here, pOH = -Log[OH] = 3 

pH =11.

Question

What is the pH of a solution in which the hydroxide ion concentration is 1 × 10−11 mol dm−3 at 298 K?

Kw = 1 × 10−14 at 298 K

A.     3

B.     7

C.     11

D.     14

▶️Answer/Explanation

A

pH + pOH = 14

1 dm−3 = 1 ltr

Here, pOH = -Log[OH] = 11

pH =3.

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