0.1 mol of methyl amine $(K_{b} = 5 \times 10^{- 4})$ is mixed with 0.08 mol of HCl and the solution is diluted to 1 litre. Determine the hydrogen ion concentration of the resulting solution.

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Solution

According to the problem:
$C H_{2} N H_{2} + H C L = C H_{3} N {H^{+}}_{3} + C l^{-}$
inital $0.1$ $0.08$
equilibrium $0.02$ $0.08$
therefore
$[O H^{-}] = K b \frac{[C H_{3} N H_{2}]}{[C H_{3} N {H^{+}}_{3}]}$
implies that
$= \frac{5 \times 10^{- 4} \times 0.02}{0.08}$
implies that
$1.25 \times 10^{- 4}$
Hence,
$[H^{+}] = \frac{k w}{[O H^{-}]}$
$= \frac{10^{- 14} \times 4}{5 \times 10^{- 4}}$
$8 \times 10^{- 11}$

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Similar questions

$0.1 m o l$ of methyl amine ( $K_{b}$ = $5 \times 10^{- 4}$ ) is mixed with $0.08 m o l$ of $H C l$ and the solution is diluted to $1 l i t r e$ . The hydrogen ion concentration of the resulting solution is:

C H_{3} N H_{2}

(0.1 mole

K_{b}

= 5

\times 10^{- 4})

is added to 0.08 mole of HCl and the solution is diluted to one litre, resulting hydrogen ion concentration is

Q. 0.1 mol of

C H_{3} N H_{2} (K_{b} = 6 \times 10^{- 4})

is added to 0.08 mol of

H C l

and the solution is diluted to

1 L

. The hydrogen ion concentration in the solution is:

C H_{3} N H_{2}

(

0.1

mole,

K_{b} = 5 \times 10^{- 4})

is added to

0.08

moles of

H C l

and the solution is diluted to one litre. The resulting hydrogen ion concentration is :

0.1 m o l

C H_{3} N H_{3} (K_{b} = 5 \times 10^{- 4})

is mixed with

0.08 m o l

H C l

and diluted to

1 L

. What will be the

H^{+}

ion concentration in the solution?

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0.1 mol of methyl amine (Kb=5×10−4) is mixed with 0.08 mol of HCl and the solution is diluted to 1 litre. Determine the hydrogen ion concentration of the resulting solution.

According to the problem:CH2NH2+HCL=CH3NH+3+Cl−inital 0.1 0.08equilibrium 0.02 0.08therefore[OH−]=Kb[CH3NH2][CH3NH+3]implies that =5×10−4×0.020.08implies that1.25×10−4Hence,[H+]=kw[OH−]=10−14×45×10−48×10−11

0.1 mol of methyl amine $(K_{b} = 5 \times 10^{- 4})$ is mixed with 0.08 mol of HCl and the solution is diluted to 1 litre. Determine the hydrogen ion concentration of the resulting solution.