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Byju's Answer

Standard XII

Chemistry

Percentage Composition

What is the h...

Question

What is the hydronium ion concentration of a $0.02 M$ solution of $C u^{2 +}$ solution of copper (II) perchlorate? The acidity constant of the following reaction is $5 \times 10^{- 9}$ .

$C u^{2 +} (a q .) + 2 H_{2} O (l) ⇌ C u (O H)^{+} (a q .) + H_{3} O^{+} (a q .)$

1 \times 10^{- 5}

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7 \times 10^{- 4}

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5 \times 10^{- 4}

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1 \times 10^{- 4}

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Solution

The correct option is A $1 \times 10^{- 5}$
$C u^{2 +} + 2 H_{2} O \Leftrightarrow C u {(O H)}^{+} + H_{3} O^{+}$

at t=0 C 0 0
at t=t C-C $α$ C $α$ C $α$
C (1- $α$ ) C $α$ C $α$

$K_{a} = \frac{C α \times C α}{C (1 - α)}$

( $α << 1$ )

$K_{a} = \frac{C^{2} α^{2}}{C}$ = $C α^{2}$

$5 \times 10^{- 9} = 0.02 \times α^{2}$

Now as we know that:

$H_{3} O^{+} = C α$

$= 0.02 \times 5 \times 10^{- 4}$

$= 1 \times 10^{- 5}$

Hence, the correct answer is option A.

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Similar questions

What is the hydronium ion concentration of a 0.02 M solution of

{C u}^{2 +}

solution of copper(II) perchlorate? The acidity constant of the following reaction is

5 \times 10^{- 9}

{C u}^{2 +} (a q .) + 2 H_{2} O (I) ⇌ C u {(H O)}^{+} (a q .) + H_{3} O^{+} (a q .)

Q. Consider the following reaction,

F e^{3 +} (a q) + S C N^{-} (a q) ⇌ [F e (S C N)]^{2 +} (a q)

A solution is made with initial

F e^{3 +}, S C N^{-}

concentration of

1 \times 10^{- 3} M

and

8 \times 10^{- 4} M

respectively. At equilbrium

[F e (S C N))^{2 +}

concentration is

2 \times 10^{- 4} M

. Calculate the value of equilibrium constant.

Q. A test for the complete removal of

C u^{2 +}

ions from a solution of

C u^{2 +} (a q .)

is to add

N H_{3} (a q .)

. A blue colour signifies the formation of complex

[C u (N H_{3})_{4}]^{2 +}

that has

K_{f} = 1.1 \times 10^{13}

and thus confirms the presence of

C u^{2 +}

in the solution. 250 mL of 0.1 M

C u S O_{4} (a q .)

is electrolyzed by passing a current of 3.5 ampere for 1350 seconds. Then, sufficient quantity of

N H_{3} (a q .)

is added to the electrolyzed solution maintaining

[N H_{3}] = 0.1 M

. If

[C u (N H_{3})_{4}]^{2 +}

is detectable upto its concentration as low as

1 \times 10^{- 5}

. Pick the correct statement(s):

Q. Both metals

M g

and

F e

can reduce copper from a solution having

{C u}^{2 +}

ion, according to equilibria.

M g (s) + {C u}^{2 +} (a q) ⇌ {M g}^{2 +} (a q) + C u (s); K_{1} = 6 \times 10^{90}

F e (s) + {C u}^{2 +} (a q) ⇌ {F e}^{2 +} (a q) + C u (s); K_{1} = 3 \times 10^{26}

Which metal will remove cupric ion from the solution to a greater extent?

Q. Oxalic acid can donate two protons to water in successive reactions:
(1)

H_{2} C_{2} O_{4} (a q) + H_{2} O (l) ⇌ H_{3} O + (a q) + H C_{2} O_{4}^{-} (a q)

(2)

H C_{2} O_{4}^{-} (a q) + H_{2} O (l) ⇌ H_{3} O + (a q) + C_{2} O_{4}^{2 -} (a q)

K_{c 1} = 5.9 \times 10^{- 2}

and

K_{c 2} = 6.4 \times 10^{- 5}

25^{0} C

, what is the value of

K_{c}

for reaction (3)?
(3)

H_{2} C_{2} O_{4} (a q) + 2 H_{2} O (l) ⇌ 2 H_{3} O + (a q) + C_{2} O_{4}^{2 -} (a q)

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What is the hydronium ion concentration of a 0.02 M solution of Cu2+ solution of copper (II) perchlorate? The acidity constant of the following reaction is 5×10−9.Cu2+(aq.)+2H2O(l)⇌Cu(OH)+(aq.)+H3O+(aq.)

The correct option is A 1×10−5 Cu2++2H2O⇔Cu(OH)++H3O+at t=0 C 0 0at t=t C-Cα Cα Cα C (1- α) C α C α Ka=Cα×CαC(1−α) ( α<<1 ) Ka=C2α2C =Cα2 5×10−9=0.02×α2Now as we know that: H3O+=Cα =0.02×5×10−4=1×10−5Hence, the correct answer is option A.

What is the hydronium ion concentration of a $0.02 M$ solution of $C u^{2 +}$ solution of copper (II) perchlorate? The acidity constant of the following reaction is $5 \times 10^{- 9}$ .

$C u^{2 +} (a q .) + 2 H_{2} O (l) ⇌ C u (O H)^{+} (a q .) + H_{3} O^{+} (a q .)$