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← JEE Main 2022 · 25 Jul · Shift 1
ChemistrySingle correct+4 / -1Question 64 of 90

JEE Main 2022 · 25 Jul · Shift 1, Chemistry question 64

20 mL of 0.1 M NH4OH\mathrm{NH_4OH} is mixed with 40 mL of 0.05 M HCl. The pH of the mixture is nearest to :

(Given : Kb(NH4OH)=1×10−5K_b(\mathrm{NH_4OH})=1\times10^{-5}, log 2 = 0.30, log 3 = 0.48, log 5 = 0.69, log 7 = 0.84, log 11 = 1.04)

Choose one option
Answer and worked solution

Official answer: C

Exact neutralisation. 2 mmol NH4Cl\mathrm{NH_4Cl} in 60 mL: c=130c=\frac1{30} M.

Salt hydrolysis. pH =7−12pKb−12log⁡c=7−2.5+0.74≈5.2=7-\frac12pK_b-\frac12\log c=7-2.5+0.74\approx5.2.

(C)