Sample 1Medium
What is the pH of a 1.0 × 10^-3 M solution of Ba(OH)2 at 298 K, assuming complete dissociation? (log 2 = 0.30, K_w = 1.0 × 10^-14)
- A
11.00
- B
3.00
- C
2.70
- D
11.30
Show the answer
The answer is D.Each Ba(OH)2 gives two OH^- ions, so [OH^-] = 2.0 × 10^-3 M and pOH = 3 − 0.30 = 2.70. pH = 14 − 2.70 = 11.30.
- A.
This takes [OH^-] as 1.0 × 10^-3 M, ignoring that Ba(OH)2 gives two OH^- ions.
- B.
pH 3.00 is acidic; a base solution cannot have pH below 7.
- C.
2.70 is the pOH, not the pH.
NCERT: Class 11 Chemistry, Chapter 6, 6.11
Sample 2NEET level
The pH of a 0.005 M aqueous solution of Ba(OH)2 at 298 K, assuming complete ionisation (Kw = 1.0 × 10⁻¹⁴), is
- A
2.0
- B
11.7
- C
12.0
- D
2.3
Show the answer
The answer is C.Each Ba(OH)2 gives two OH⁻ ions, so [OH⁻] = 2 × 0.005 M = 0.01 M and pOH = 2. Since pH + pOH = 14 at 298 K, pH = 14 − 2 = 12.0.
- A.
This is the pOH, not the pH.
- B.
Takes [OH⁻] = 0.005 M, forgetting that each Ba(OH)2 gives two OH⁻ ions.
- D.
This is the pOH computed with [OH⁻] = 0.005 M; it is neither pH nor correct.
NCERT: Class 11 Chemistry, Unit 6 (Equilibrium), The pH Scale