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Question: 0.1 mole of CH<sub>3</sub>NH<sub>2</sub> (K<sub>b</sub> = 5 × 10<sup>−4</sup>) is mixed with 0.08 mo...

0.1 mole of CH3NH2 (Kb = 5 × 10−4) is mixed with 0.08 mole of HCl and diluted to one litre. What will be the H+ concentration in the solution?

A

8 × 10−2 M

B

8 × 10−11 M

C

1.6 × 10−11 M

D

8 × 10−5 M

Answer

8 × 10−11 M

Explanation

Solution

CH3NH2 + HCl CH3NH3+Cl\mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } ^ { + } \mathrm { Cl } ^ { - }

0.1 0.08 0

0.02 0 0.08

(Basic buffer solution)

pOH = pKb + log 0.080.02\frac { 0.08 } { 0.02 }

= pKb + 0.602

= 3.30 + 0.602= 3.902

∴ pH = 10.09

[H+] = 7.99 × 10−11 ≈ 8 × 10−11 M