Equilibrium Question 900

Question: Match List I with List II and select the correct answer using the code given below the lists
List I List II
[A] pH of 0.1 M HA $ (pK_{a}=5) $ and 0.01 M NaA (p) 4
[B] pH of 0.1 M BOH $ (pK_{b}=6) $ and 0.1 M BCI (q) 7
[C] pH of 0.1 M salt of HA $ (pK_{a}=5) $ and BOH $ (pK_{b}=7) $ (r) 6
[D] pH of 500 litre of 0.2 M $ HNO_3 $ and 500 litre 0.2 M NaOH (s) 8

Codes:

Options:

A) A $ \to $ p, B $ \to $ s, C $ \to $ r, D $ \to $ q

B) A $ \to $ s, B $ \to $ p, C $ \to $ r, D $ \to $ q

C) A $ \to $ p, B $ \to $ r, C $ \to $ s, D $ \to $ q

D) A $ \to $ p, B $ \to $ s, C $ \to $ q, D $ \to $ r

Show Answer

Answer:

Correct Answer: A

Solution:

$ pH=pK_{a}+{\log_{10}}[ \frac{Salt}{Acid} ]= $

$ 5+{\log_{10}}[ \frac{0.1}{0.01} ]=4 $

[b] $ pOH=pK_{b}+{\log_{10}}[ \frac{0.1}{0.1} ]=6 $

$ pH=14-6=8 $

[c] $ pH=\frac{1}{2}[pK_{w}+pK_{a}-pK_{b}]= $

$ \frac{1}{2}[14+5-7]=6 $

[d] Neutral solution $ pH=7 $



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